“Take chances, make mistakes. That's how you grow. Pain nourishes your courage. You have to fail in order to practice being brave.”
Friday, August 12, 2011
Thursday, August 11, 2011
Why Should One Take Bath Daily?
Bath is taken for the cleansing of body. From religious as well as scientific points of view, bath has an important place in daily routine of a person. Bath is a customary activity in all the religious and social functions of Hindus. Daily life of a Hindu usually begins with bath. Some people conclude their day with bath also. A child is first of all given a bath soon after his birth. On the other hand, a dead body is also given a ritual bath. Importance associated with holy places of pilgrimage like Haridwar, Kashi, Prayag, Kurukshetra, Ujjain, Nasik, Pushkar and many others is mainly due to the bath if not entirely. In the first Mahakumbh of the millenium, which is currently on in Allahabad, crores of people have taken a dip at the confluence of the Ganges and Yamuna rivers so far. It is said that taking a bath at holy place of pilgrimage helps a person attain various religious objectives including salvation.
Scientifically too, bath has profound benefits. Our skill contains crores of minute pores through which toxic substances pass out in the form of sweat and wax. This activity is highly important to maintain the thermal balance of a human body. Sweat keeps on evaporating there by taking a lot of heat with it. But the various other substances like grime keep on accumulating right on the skin. It is necessary to constantly remove that grime otherwise, it would lead to clogging of the sweat pores. Once, the pores are closed, internal toxic substances cannot come out and would go on accumulating in the body causing serious disturbances in bodily activities. Stenching body is the first indication that something is wrong with a person. With daily bath, this grime can be washed away and good health be maintained.
It is also a well known fact that our body is composed of five basic elements- earth, water, air, fire and ether. Proper balance of all these elements within the body is extremely necessary for life. Each of these elements keeps on decaying in our body. Hence, their constant replenishment is also necessary. The food we eat, the water we drink and the air we breathe are the means to replenish these five basic elements in our body. When the level of water decreases within the body, it begins to feel uneasy. Burning sensation in and around the stomach indicates that the body immediately needs replenishment of water. Drinking of water quenches this feeling. But out skin also keeps on losing water and bath is the only way to replenish it. Thus with bath, body receives extreme satisfaction and becomes active. Mind also feels pleasant and lethargy is destroyed.
Bath is taken for the cleansing of body. From religious as well as scientific points of view, bath has an important place in daily routine of a person. Bath is a customary activity in all the religious and social functions of Hindus. Daily life of a Hindu usually begins with bath. Some people conclude their day with bath also. A child is first of all given a bath soon after his birth. On the other hand, a dead body is also given a ritual bath. Importance associated with holy places of pilgrimage like Haridwar, Kashi, Prayag, Kurukshetra, Ujjain, Nasik, Pushkar and many others is mainly due to the bath if not entirely. In the first Mahakumbh of the millenium, which is currently on in Allahabad, crores of people have taken a dip at the confluence of the Ganges and Yamuna rivers so far. It is said that taking a bath at holy place of pilgrimage helps a person attain various religious objectives including salvation.
Scientifically too, bath has profound benefits. Our skill contains crores of minute pores through which toxic substances pass out in the form of sweat and wax. This activity is highly important to maintain the thermal balance of a human body. Sweat keeps on evaporating there by taking a lot of heat with it. But the various other substances like grime keep on accumulating right on the skin. It is necessary to constantly remove that grime otherwise, it would lead to clogging of the sweat pores. Once, the pores are closed, internal toxic substances cannot come out and would go on accumulating in the body causing serious disturbances in bodily activities. Stenching body is the first indication that something is wrong with a person. With daily bath, this grime can be washed away and good health be maintained.
It is also a well known fact that our body is composed of five basic elements- earth, water, air, fire and ether. Proper balance of all these elements within the body is extremely necessary for life. Each of these elements keeps on decaying in our body. Hence, their constant replenishment is also necessary. The food we eat, the water we drink and the air we breathe are the means to replenish these five basic elements in our body. When the level of water decreases within the body, it begins to feel uneasy. Burning sensation in and around the stomach indicates that the body immediately needs replenishment of water. Drinking of water quenches this feeling. But outer skin also keeps on losing water and bath is the only way to replenish it. Thus with bath, body receives extreme satisfaction and becomes active. Mind also feels pleasant and lethargy is destroyed.
Causes of Liver Damage
The main causes of liver damage are:
1. Sleeping too late and waking up too late are main cause.
2. Not urinating in the morning.
3. Too much eating.
4. Skipping breakfast.
5. Consuming too much medication.
6. Consuming too much preservatives, additives, food coloring, and artificial sweetener.
7. Consuming unhealthy cooking oil.
As much as possible reduce cooking oil use when frying, which includes even the best cooking oils like olive oil. Do not consume fried foods when you are tired, except if the body is20very fit.
8. Consuming raw (overly done) foods also add to the burden of liver.
Veggies should be eaten raw or cooked 3-5 parts. Fried veggies should be finished in one sitting, do not store.
We should prevent this without necessarily spending more. We just have to adopt a good daily lifestyle and eating habits. Maintaining good eating habits and time condition are very important for our bodies to absorb and get rid of unnecessary chemicals according to 'schedule.'
1. Sleeping too late and waking up too late are main cause.
2. Not urinating in the morning.
3. Too much eating.
4. Skipping breakfast.
5. Consuming too much medication.
6. Consuming too much preservatives, additives, food coloring, and artificial sweetener.
7. Consuming unhealthy cooking oil.
As much as possible reduce cooking oil use when frying, which includes even the best cooking oils like olive oil. Do not consume fried foods when you are tired, except if the body is20very fit.
8. Consuming raw (overly done) foods also add to the burden of liver.
Veggies should be eaten raw or cooked 3-5 parts. Fried veggies should be finished in one sitting, do not store.
We should prevent this without necessarily spending more. We just have to adopt a good daily lifestyle and eating habits. Maintaining good eating habits and time condition are very important for our bodies to absorb and get rid of unnecessary chemicals according to 'schedule.'
Tuesday, June 28, 2011
10 Approaches that can make a Real Difference in Preventing Cancer.
The Special Report examines the science and latest findings on 10 approaches that can make a real difference in preventing cancer.
Here are some highlights from the list:
1. Don't smoke: Quitting smoking reduces the risk of lung and other cancers, regardless of the number of years of smoking.
2. Eat fruits and vegetables: The American Cancer Society recommends eating at least five servings of fruits and vegetables daily because they are loaded with vitamins, minerals, antioxidants and other substances that lower the risk of cancer.
3. Limit fat in the diet: Current guidelines recommend keeping fat intake between 20 and 30 percent of total daily calories, with most fats coming from sources of polyunsaturated and monounsaturated fats, such as fish, nuts and vegetable oils.
4. Maintain a healthy weight: Being overweight or obese can increase the risk of postmenopausal breast cancer as well as cancers of the colon, endometrium, esophagus and kidney. There's evidence that obesity increases the risk of cancers of the prostate, liver, gallbladder, pancreas, stomach, ovary and cervix.
5. Be physically active: From 45 to 60 minutes of moderate to vigorous activity a day, on most days of the week, is considered optimal to reduce the risk of breast and colorectal cancers.
6. Curb alcohol consumption: Women should limit themselves to no more than one alcoholic beverage a day. Men should have no more than two.
7. Limit exposure to radiation: Ultraviolet (UV) radiation, which comes from the sun, sunlamps or commercial tanning beds, is the primary cause of skin cancer, the most common of all cancers.
8. Protect against infection: Infections caused by viruses are recognized as risk factors for several types of cancer.
9. Consider chemoprevention: Chemoprevention is the use of natural or synthetic compounds to reduce the risk of cancer or its recurrence. Tamoxifen, prescribed to prevent breast cancer in high-risk women, is the best known chemoprevention agent.
10. Get recommended screening exams: Pap tests, mammograms, colonoscopies and other routine screenings cannot prevent cancer. But screenings can help find cancers early, when treatment is most likely to be successful.
The study has been published in the November issue of Mayo Clinic Women's HealthSource. (ANI)
Here are some highlights from the list:
1. Don't smoke: Quitting smoking reduces the risk of lung and other cancers, regardless of the number of years of smoking.
2. Eat fruits and vegetables: The American Cancer Society recommends eating at least five servings of fruits and vegetables daily because they are loaded with vitamins, minerals, antioxidants and other substances that lower the risk of cancer.
3. Limit fat in the diet: Current guidelines recommend keeping fat intake between 20 and 30 percent of total daily calories, with most fats coming from sources of polyunsaturated and monounsaturated fats, such as fish, nuts and vegetable oils.
4. Maintain a healthy weight: Being overweight or obese can increase the risk of postmenopausal breast cancer as well as cancers of the colon, endometrium, esophagus and kidney. There's evidence that obesity increases the risk of cancers of the prostate, liver, gallbladder, pancreas, stomach, ovary and cervix.
5. Be physically active: From 45 to 60 minutes of moderate to vigorous activity a day, on most days of the week, is considered optimal to reduce the risk of breast and colorectal cancers.
6. Curb alcohol consumption: Women should limit themselves to no more than one alcoholic beverage a day. Men should have no more than two.
7. Limit exposure to radiation: Ultraviolet (UV) radiation, which comes from the sun, sunlamps or commercial tanning beds, is the primary cause of skin cancer, the most common of all cancers.
8. Protect against infection: Infections caused by viruses are recognized as risk factors for several types of cancer.
9. Consider chemoprevention: Chemoprevention is the use of natural or synthetic compounds to reduce the risk of cancer or its recurrence. Tamoxifen, prescribed to prevent breast cancer in high-risk women, is the best known chemoprevention agent.
10. Get recommended screening exams: Pap tests, mammograms, colonoscopies and other routine screenings cannot prevent cancer. But screenings can help find cancers early, when treatment is most likely to be successful.
The study has been published in the November issue of Mayo Clinic Women's HealthSource. (ANI)
Realities about Human Body Functions
* Approximately 75% of human poop is made of water.
* Your eyes are always the same size from birth but your nose and ears never stop growing.
* It takes the food seven seconds to get from your mouth to your stomach.
* The average human dream lasts 2-3 seconds.
* Your brain is more active during the night than the day.
* One human hair can support 3kg.
* Human thighbones are stronger than concrete.
* The tooth is the only part of the human body that can't repair itself.
* An average human loses about 200 head hairs per day.
* It is impossible to lick your elbow.
* Your body requires 1000* 1500 calories per day just to simply survive (breathing, sleeping, eating).
* Every day an adult body produces 300 billion new cells.
* Scientists say the higher your I.Q. the more you dream.
* The largest cell in the human body is the female egg and the smallest it the male sperm.
* You use 200 muscles to take one step.
* Muscle cells live as long as you do while skin cells live less than 24 hours.
* A full bladder is roughly the size of a soft ball.
* Your brain operates on the same amount of power that would light a 10* watt light bulb.
* There are 5 million hair follicles on an average adult.
* The acid in your stomach is strong enough to dissolve razorblades.
* The human brain cell can hold 5 times as much information as the Encyclopedia Brittanica.
* The white part of your fingernail is called the Lunula.
* There is enough iron in a human being to make one small nail.
* A shank is the part of the sole between the heel and the ball of the foot.
* The talus is the second largest bone in the foot.
* The attachment of human muscles to skin is what causes dimples.
* A 13 year old child found a tooth growing out of his foot in 1977.
* Your thumb is the same length of your nose.
* A woman's heart beats faster than a man's.
* Dogs and Humans are the only animals with prostates.
* It only takes 7lbs of of pressure to rip off your ears.
* Your eyes are always the same size from birth but your nose and ears never stop growing.
* It takes the food seven seconds to get from your mouth to your stomach.
* The average human dream lasts 2-3 seconds.
* Your brain is more active during the night than the day.
* One human hair can support 3kg.
* Human thighbones are stronger than concrete.
* The tooth is the only part of the human body that can't repair itself.
* An average human loses about 200 head hairs per day.
* It is impossible to lick your elbow.
* Your body requires 1000* 1500 calories per day just to simply survive (breathing, sleeping, eating).
* Every day an adult body produces 300 billion new cells.
* Scientists say the higher your I.Q. the more you dream.
* The largest cell in the human body is the female egg and the smallest it the male sperm.
* You use 200 muscles to take one step.
* Muscle cells live as long as you do while skin cells live less than 24 hours.
* A full bladder is roughly the size of a soft ball.
* Your brain operates on the same amount of power that would light a 10* watt light bulb.
* There are 5 million hair follicles on an average adult.
* The acid in your stomach is strong enough to dissolve razorblades.
* The human brain cell can hold 5 times as much information as the Encyclopedia Brittanica.
* The white part of your fingernail is called the Lunula.
* There is enough iron in a human being to make one small nail.
* A shank is the part of the sole between the heel and the ball of the foot.
* The talus is the second largest bone in the foot.
* The attachment of human muscles to skin is what causes dimples.
* A 13 year old child found a tooth growing out of his foot in 1977.
* Your thumb is the same length of your nose.
* A woman's heart beats faster than a man's.
* Dogs and Humans are the only animals with prostates.
* It only takes 7lbs of of pressure to rip off your ears.
Tuesday, June 7, 2011
Health Tips
Eye Health
Your eyes are one of nature’s most wonderful gifts to you because without them, it would be impossible for you to fully enjoy the beauty of your surroundings. The eye is indeed a very amazing and complicated organ, composed of a perfect system that includes the pupil, retina, cornea, iris, lens, and optic nerve. All these parts belong to forty individual subsystems, and together, they capture and interpret more than one million pulse signals per millisecond, something that even supercomputers cannot perform without flaw!
However, just like other organs in the body, the eye can be subject to stress and injury, and can lose its full potential when not properly taken care of. If you have a pair of beautiful eyes today, you have to do your best to maintain them even as you age.
1. Load Up With Eye-Healthy Foods
Most eye conditions are a result of poor nutrition, so if you want to maintain and enhance your vision, you have to add more eye-healthy food to your diet. Many of the foods that are considered beneficial for the eyes contain vitamins and nutrients that do not only improve your vision but also delay the onset of degenerative eye diseases. Green, leafy vegetables such as green cabbage and spinach, for instance, contain quercetin and rutin, two substances that protect the eye from ultraviolet radiation and reduce the leakage from small blood vessels in your retina. Zinc found in yogurt, beans, whole grains, and some meats also improve eye health by increasing the production of melanin, which is a protective eye pigment. Load with omega-3- and vitamin A-, and vitamin E-rich foods as well, because they play a very important role in fighting off free radicals and in the development of the retina.
2. Protect Your Eyes from the Sun
The eyes are a very sensitive organ, and when directly exposed to the sun, can develop certain diseases that can eventually lead to blindness. Ultraviolet rays that come from the sun can create cumulative damage, which means the longer your expose your eyes to the sun, the greater your chances of acquiring macular degeneration when you get old. Protect your eyes by wearing eyewear designed to ward off harmful UV rays. Invest in a quality pair of sunglasses that could block at least 99 percent of UVA and UVB radiation. In the same manner, a large umbrella or hat should be able to protect your eyes by blocking out up to 50 percent of UV radiation so make sure you bring one every time you leave the house.
3. Take a Break from the Computer
Many eye conditions are a result of spending too much time in front of the computer or the television. When working with computers, make sure you take 5 minutes break for every thirty minutes to an hour of work. Staring in front of the monitor for too long can cause eye strain and tension, which may lead to eye problems in the long run. As much as possible, limit your television watching to two hours.
4. Prevent Eye Hazards
If your job involves working in areas that pose eye hazards, make sure that you wear protective goggles all the time. Doing so will reduce your risk of eye injury due to accidents by up to 90 percent. Tiny wood or metal debris can cause abrasion to your cornea, so as much as possible, stay away from areas that pose eye hazards if you’re not wearing any eye protection. You can also eliminate the possibility of any eye injury by checking your equipments before starting your work. Glass lens are preferable when you’re choosing safety eyewear because they are less likely to get scratched and you can even have one designed for your eye corrective prescription.
5. Walk Your Way to Healthy Eyes
Finally, don’t forget to perform your daily exercises. Scientists have found out that light to moderate exercises such as brisk walking can reduce a person’s risk for glaucoma by a large percentage. When glaucoma patients were asked to incorporate at least fifteen minutes of walking exercises to their daily activities, a significant improvement in their condition was found to a point that some of them even stopped taking their medications.
If you are still young, it would be a good idea to start incorporating these habits to your life. When you do, you will have a higher chance of maintaining healthy vision even in the later years of your life.
Building your confidence in any life situation
We watch the star athlete calmly make the final shot, score the winning goal, or lead his team for a touchdown in the final minute of the game. We marvel at their talent and their determination, but what we value and admire most is the supreme confidence they display – they know they will succeed.
Confidence is an attribute that is alluring, attractive, valuable, desirable and contagious. Most everyone aspires to greater levels of it, even if they feel confident most of the time. It is a trait that will help us create greater results for ourselves and when leading others. Any trait with this much benefit is one worth developing. And yes, you can develop and strengthen your confidence.
Consider these five steps as the building blocks for greater confidence in any part of your life.
1. Remind yourself of past successes. Confidence builds on past success. Since you have had success before, you can (and will) have it again. We strengthen our confidence in any activity when we review or remind ourselves of past successes. If you are trying to build confidence in a new area, past success can still help us strengthen our confidence. For example, if you have had success in doing something new in the past, review those experiences when trying something else new – even if it is in an entirely different part of your life.
2. Read and listen to positive materials. Fill your mind with positive and affirming words, ideas and stories. Read things that enhances your skills or knowledge in the area in which you want to build your confidence. Read materials that are generally uplifting and affirming, and read biographies of successful people. You will find that many of them had troubles in life, came from tough situations and still succeeded. If you have ever thought, “Well, if they can do, I could too.” Then you realize that we can build our confidence by reading about others stories. Reading and listening to positive materials is about reinforcement, encouragement, and learning. All three of these components are needed for greater confidence.
3. See your future success. Olympic athletes, corporate executives, and successful people in all sorts of endeavors visualize future success. Confidence will grow when we see ourselves succeeding. Think about it, if you know you will succeed, your confidence will soar, right? Visualizing future success does that very thing for us. Our minds cannot tell the difference between something real and something vividly imagined. So vividly visualize your success. What will it look like, smell like, and taste like to have succeeded? Who will be with you, what will you be hearing and where will you be? How will you be feeling at that moment? Putting this much detail into your vivid picture improves the likelihood of success, and supports greater confidence!
4. Reframe failure. Thomas Edison spent a long time trying to create an incandescent light bulb – to create light from electricity. He is attributed with saying, “I have not failed, I have discovered twelve hundred materials that don’t work.” 1,200! Perhaps you feel you can reframe your failures as learning experiences – as a chance to find out what doesn’t work. But would you be able to do so 1,200 times? Know that failures will occur - and your confidence won’t be as shaken when they come. Use the failures as an opportunity to learn. Realize that every failure puts you that much closer to success. When we reframe our failure as a learning experience we reduce our fear and increase our confidence.
5. Take confident action. You wanted confidence to help you try and succeed in new ways, right? So get out there and get at it! You have to put your confidence to the test. You have to practice. And, while you are taking action, make it confident action! Remember that if you act confident, you will be more confident. Review the other steps you have been taking to build your confidence. If you are driving towards your new action step, remind yourself of past successes, again. Visualize the successful outcome, again. Build your confidence at every step of the way, but remember it all must lead to action.
These steps are a regimen for strengthening and building your confidence in any life situation. Use these steps and I am confident, you will be more confident.
Your eyes are one of nature’s most wonderful gifts to you because without them, it would be impossible for you to fully enjoy the beauty of your surroundings. The eye is indeed a very amazing and complicated organ, composed of a perfect system that includes the pupil, retina, cornea, iris, lens, and optic nerve. All these parts belong to forty individual subsystems, and together, they capture and interpret more than one million pulse signals per millisecond, something that even supercomputers cannot perform without flaw!
However, just like other organs in the body, the eye can be subject to stress and injury, and can lose its full potential when not properly taken care of. If you have a pair of beautiful eyes today, you have to do your best to maintain them even as you age.
1. Load Up With Eye-Healthy Foods
Most eye conditions are a result of poor nutrition, so if you want to maintain and enhance your vision, you have to add more eye-healthy food to your diet. Many of the foods that are considered beneficial for the eyes contain vitamins and nutrients that do not only improve your vision but also delay the onset of degenerative eye diseases. Green, leafy vegetables such as green cabbage and spinach, for instance, contain quercetin and rutin, two substances that protect the eye from ultraviolet radiation and reduce the leakage from small blood vessels in your retina. Zinc found in yogurt, beans, whole grains, and some meats also improve eye health by increasing the production of melanin, which is a protective eye pigment. Load with omega-3- and vitamin A-, and vitamin E-rich foods as well, because they play a very important role in fighting off free radicals and in the development of the retina.
2. Protect Your Eyes from the Sun
The eyes are a very sensitive organ, and when directly exposed to the sun, can develop certain diseases that can eventually lead to blindness. Ultraviolet rays that come from the sun can create cumulative damage, which means the longer your expose your eyes to the sun, the greater your chances of acquiring macular degeneration when you get old. Protect your eyes by wearing eyewear designed to ward off harmful UV rays. Invest in a quality pair of sunglasses that could block at least 99 percent of UVA and UVB radiation. In the same manner, a large umbrella or hat should be able to protect your eyes by blocking out up to 50 percent of UV radiation so make sure you bring one every time you leave the house.
3. Take a Break from the Computer
Many eye conditions are a result of spending too much time in front of the computer or the television. When working with computers, make sure you take 5 minutes break for every thirty minutes to an hour of work. Staring in front of the monitor for too long can cause eye strain and tension, which may lead to eye problems in the long run. As much as possible, limit your television watching to two hours.
4. Prevent Eye Hazards
If your job involves working in areas that pose eye hazards, make sure that you wear protective goggles all the time. Doing so will reduce your risk of eye injury due to accidents by up to 90 percent. Tiny wood or metal debris can cause abrasion to your cornea, so as much as possible, stay away from areas that pose eye hazards if you’re not wearing any eye protection. You can also eliminate the possibility of any eye injury by checking your equipments before starting your work. Glass lens are preferable when you’re choosing safety eyewear because they are less likely to get scratched and you can even have one designed for your eye corrective prescription.
5. Walk Your Way to Healthy Eyes
Finally, don’t forget to perform your daily exercises. Scientists have found out that light to moderate exercises such as brisk walking can reduce a person’s risk for glaucoma by a large percentage. When glaucoma patients were asked to incorporate at least fifteen minutes of walking exercises to their daily activities, a significant improvement in their condition was found to a point that some of them even stopped taking their medications.
If you are still young, it would be a good idea to start incorporating these habits to your life. When you do, you will have a higher chance of maintaining healthy vision even in the later years of your life.
Building your confidence in any life situation
We watch the star athlete calmly make the final shot, score the winning goal, or lead his team for a touchdown in the final minute of the game. We marvel at their talent and their determination, but what we value and admire most is the supreme confidence they display – they know they will succeed.
Confidence is an attribute that is alluring, attractive, valuable, desirable and contagious. Most everyone aspires to greater levels of it, even if they feel confident most of the time. It is a trait that will help us create greater results for ourselves and when leading others. Any trait with this much benefit is one worth developing. And yes, you can develop and strengthen your confidence.
Consider these five steps as the building blocks for greater confidence in any part of your life.
1. Remind yourself of past successes. Confidence builds on past success. Since you have had success before, you can (and will) have it again. We strengthen our confidence in any activity when we review or remind ourselves of past successes. If you are trying to build confidence in a new area, past success can still help us strengthen our confidence. For example, if you have had success in doing something new in the past, review those experiences when trying something else new – even if it is in an entirely different part of your life.
2. Read and listen to positive materials. Fill your mind with positive and affirming words, ideas and stories. Read things that enhances your skills or knowledge in the area in which you want to build your confidence. Read materials that are generally uplifting and affirming, and read biographies of successful people. You will find that many of them had troubles in life, came from tough situations and still succeeded. If you have ever thought, “Well, if they can do, I could too.” Then you realize that we can build our confidence by reading about others stories. Reading and listening to positive materials is about reinforcement, encouragement, and learning. All three of these components are needed for greater confidence.
3. See your future success. Olympic athletes, corporate executives, and successful people in all sorts of endeavors visualize future success. Confidence will grow when we see ourselves succeeding. Think about it, if you know you will succeed, your confidence will soar, right? Visualizing future success does that very thing for us. Our minds cannot tell the difference between something real and something vividly imagined. So vividly visualize your success. What will it look like, smell like, and taste like to have succeeded? Who will be with you, what will you be hearing and where will you be? How will you be feeling at that moment? Putting this much detail into your vivid picture improves the likelihood of success, and supports greater confidence!
4. Reframe failure. Thomas Edison spent a long time trying to create an incandescent light bulb – to create light from electricity. He is attributed with saying, “I have not failed, I have discovered twelve hundred materials that don’t work.” 1,200! Perhaps you feel you can reframe your failures as learning experiences – as a chance to find out what doesn’t work. But would you be able to do so 1,200 times? Know that failures will occur - and your confidence won’t be as shaken when they come. Use the failures as an opportunity to learn. Realize that every failure puts you that much closer to success. When we reframe our failure as a learning experience we reduce our fear and increase our confidence.
5. Take confident action. You wanted confidence to help you try and succeed in new ways, right? So get out there and get at it! You have to put your confidence to the test. You have to practice. And, while you are taking action, make it confident action! Remember that if you act confident, you will be more confident. Review the other steps you have been taking to build your confidence. If you are driving towards your new action step, remind yourself of past successes, again. Visualize the successful outcome, again. Build your confidence at every step of the way, but remember it all must lead to action.
These steps are a regimen for strengthening and building your confidence in any life situation. Use these steps and I am confident, you will be more confident.
Antioxidants -
An antioxidant is a molecule capable of inhibiting the oxidation of other molecules.
10 Ways to Breath Easier
12 Things That Cause Bad Breath
Causes - Bad Breath
Water-Rich Foods
Drink to Shrink
When To Worry About Brest Lumps
Is Laughter The Best Medicine ?
Dental Problems Conditions and Diseases
Tips on Proper Brushing
How to Brush Your Teeth Properly
Brushing teeth is an activity which is done by almost all the people first thing when they wake up in the morning. It is as important as eating food and drinking water. People who do not brush their teeth in a proper manner suffer from different kinds of tooth diseases sooner or later. The importance of brushing teeth in a proper manner cannot be denied. If you think that your method of brushing is not so correct and you need to improve the way you brush your teeth then you should read on.
Brush Your Teeth ProperlyFirst, you should clean your toothbrush with water. A moistened tooth brush is best for brushing teeth. After this, apply a thin strip of your toothpaste on the tooth brush. You should start brushing your upper left molars at first. While brushing the teeth focus on the front surface of teeth. Do not force the bristles of your toothbrush on your gums or teeth. Forcing the bristles of toothbrush on gums may damage your gums.
Brush Your Teeth ProperlySecond, while holding your toothbrush parallel to your teeth, you should clean your teeth horizontally in such a way that the bristles of your toothbrush do not touch your gums. Make sure that you clean each and every tooth. One should also clean the backward region of teeth. Brushing of teeth should be done only for 2 or 3 minutes. Brushing teeth for more time may damage the gums and enamel of teeth.
Third, along with cleaning your teeth, you should also clean your tongue and inside skin of cheeks with a brush. However, it is important to brush the cheeks and tongue in a very gentle manner otherwise they may be damaged. Fourth, after brushing your teeth, you should rinse off your mouth with cool and fresh water. This will help In cleaning any food particles which might be stuck in between your teeth.Brush Your Teeth Properly
In order to brush teeth properly, you should have the right kind of toothbrush and toothpaste. You can ask for a dentist’s advice with regards to toothbrush and toothpaste. According to your teeth, your dentist would prescribe the best toothbrush and toothpaste for you. It is also a good notion to ask for the right brushing technique from the dentist. You would be able to take better care of your teeth by following the above steps.
Brushing teeth is an activity which is done by almost all the people first thing when they wake up in the morning. It is as important as eating food and drinking water. People who do not brush their teeth in a proper manner suffer from different kinds of tooth diseases sooner or later. The importance of brushing teeth in a proper manner cannot be denied. If you think that your method of brushing is not so correct and you need to improve the way you brush your teeth then you should read on.
Brush Your Teeth ProperlyFirst, you should clean your toothbrush with water. A moistened tooth brush is best for brushing teeth. After this, apply a thin strip of your toothpaste on the tooth brush. You should start brushing your upper left molars at first. While brushing the teeth focus on the front surface of teeth. Do not force the bristles of your toothbrush on your gums or teeth. Forcing the bristles of toothbrush on gums may damage your gums.
Brush Your Teeth ProperlySecond, while holding your toothbrush parallel to your teeth, you should clean your teeth horizontally in such a way that the bristles of your toothbrush do not touch your gums. Make sure that you clean each and every tooth. One should also clean the backward region of teeth. Brushing of teeth should be done only for 2 or 3 minutes. Brushing teeth for more time may damage the gums and enamel of teeth.
Third, along with cleaning your teeth, you should also clean your tongue and inside skin of cheeks with a brush. However, it is important to brush the cheeks and tongue in a very gentle manner otherwise they may be damaged. Fourth, after brushing your teeth, you should rinse off your mouth with cool and fresh water. This will help In cleaning any food particles which might be stuck in between your teeth.Brush Your Teeth Properly
In order to brush teeth properly, you should have the right kind of toothbrush and toothpaste. You can ask for a dentist’s advice with regards to toothbrush and toothpaste. According to your teeth, your dentist would prescribe the best toothbrush and toothpaste for you. It is also a good notion to ask for the right brushing technique from the dentist. You would be able to take better care of your teeth by following the above steps.
Dentists say that the minimum time you should spend brushing your teeth is 2 minutes twice a day. Here are some tips on how to brush properly:
* Hold your brush at a 45-degree angle against your gumline. Gently brush from where thetooth and gum meet to the chewing surface in short (about half-a-tooth-wide) strokes. Brushing too hard can cause receding gums, tooth sensitivity, and, over time, loose teeth.
* Use the same method to brush all outside and inside surfaces of your teeth.
* To clean the chewing surfaces of your teeth, use short sweeping strokes, tipping the bristles into the pits and crevices.
* To clean the inside surfaces of your top and bottom front teeth and gums, hold the brush almost vertical. With back and forth motions, bring the front part of the brush over the teeth and gums.
* Using a forward-sweeping motion, gently brush your tongue and the roof of your mouth to remove the decay-causing bacteria that exist in these places.
* Use an egg timer or play a favorite song while brushing your teeth to get used to brushing for a full 2 to 3 minutes. Some electronic toothbrushes have timers that let you know when 2 minutes are up.
Home remedies to keep your teeth white
* Use baking soda twice a month to help remove any stains buildup.
* Add a drop of clove oil to the toothpaste and brush.
* Avoid smoking. This is one of the quickest ways of turning white teeth yellow.
* Take a teaspoon of lemon juice and a tsp of salt. Make a paste. Apply this on the yellowish tint.
* Avoid coffee and red wine as much as possible. Both will quickly stain your teeth.
* Consuming ginger, lemon juice, improve digestion and improves breath.
* Use baking soda twice a month to help remove any stains buildup.
* Add a drop of clove oil to the toothpaste and brush.
* Avoid smoking. This is one of the quickest ways of turning white teeth yellow.
* Take a teaspoon of lemon juice and a tsp of salt. Make a paste. Apply this on the yellowish tint.
* Avoid coffee and red wine as much as possible. Both will quickly stain your teeth.
* Consuming ginger, lemon juice, improve digestion and improves breath.
How to Get Rid of Pimples on Oily Skin
An oily face is a matter of concern not only for teenagers and young adults, but also for those people who are in the pre-menopausal phase of their life.
Oily skin and its related consequences such as acne and pimples can be quite embarrassing for the affected person and the ugly scars and blemishes on the skin can even lower the person’s self-esteem.
The sebaceous glands are over active. Skin that feels great when you take off for work in the morning but feels greasy by lunch; these are all too familiar scenarios for those of us with oily skin.
As your skin is oily, which is more prone to pimples, treatment for both pimples and oily skin should be done simultaneously for best results.
Eat Fewer Oily Foods
Your skin already is producing an abundance of oils, so it is best to avoid fats, fried foods and anything that will make your already sensitive skin more prone to flare ups.
Drink More Water
Water assists your body in flushing out toxins from your system, and well hydrated skin is healthy skin. Drinking more water and few glasses of soda, coffee, and alcohol has many health benefits for the rest of your body too.
Mint Masks
Try wearing a mask of crushed fresh mint leaves. Mint contains menthol which is a natural pain reliever. Crush the mint leaves into a thick paste and spread evenly over the skin. Leave on for ten minutes and then rinse with cool water. The menthol in the mask will also work to relieve the inflammation around the acne making the appearance less noticeable.
Lemon and Rosewater Astringent
Mix equal parts of rosewater and lemon juice to make an astringent solution. Astringents, while they sting a bit when applied, tend to dry the excess oils on the surface of the skin and help to heal pimples. Leave the mixture on your face for 15-30 minutes and then rinse with cool water. Lemon juice is a natural acid, so be careful to keep this mixture away from your eyes.
Cucumber and Oatmeal Masks
Cucumber and oatmeal masks tend to have a soothing natural exfoliating property that helps to gently cleanse the pores and lift excess oils off the surface of the skin. To make the mask, puree ¼ of a cucumber and set aside. Prepare one serving of oatmeal as directed and mix in 3 Tablespoons of honey. Mix in the cucumber and set aside to cool. Wash your face with mild soap and pat dry. When the mixture is cool, apply evenly to your face and allow it to sit on your face for 20 minutes. Rinse with cool water and pat dry.
Orange Peels and Water
A paste of crushed orange peels mixed along with water can be applied to your oily face and can be rinsed off with luke warm water after 20 to 30 minutes for effective pimples treatment.
Oily skin and its related consequences such as acne and pimples can be quite embarrassing for the affected person and the ugly scars and blemishes on the skin can even lower the person’s self-esteem.
The sebaceous glands are over active. Skin that feels great when you take off for work in the morning but feels greasy by lunch; these are all too familiar scenarios for those of us with oily skin.
As your skin is oily, which is more prone to pimples, treatment for both pimples and oily skin should be done simultaneously for best results.
Eat Fewer Oily Foods
Your skin already is producing an abundance of oils, so it is best to avoid fats, fried foods and anything that will make your already sensitive skin more prone to flare ups.
Drink More Water
Water assists your body in flushing out toxins from your system, and well hydrated skin is healthy skin. Drinking more water and few glasses of soda, coffee, and alcohol has many health benefits for the rest of your body too.
Mint Masks
Try wearing a mask of crushed fresh mint leaves. Mint contains menthol which is a natural pain reliever. Crush the mint leaves into a thick paste and spread evenly over the skin. Leave on for ten minutes and then rinse with cool water. The menthol in the mask will also work to relieve the inflammation around the acne making the appearance less noticeable.
Lemon and Rosewater Astringent
Mix equal parts of rosewater and lemon juice to make an astringent solution. Astringents, while they sting a bit when applied, tend to dry the excess oils on the surface of the skin and help to heal pimples. Leave the mixture on your face for 15-30 minutes and then rinse with cool water. Lemon juice is a natural acid, so be careful to keep this mixture away from your eyes.
Cucumber and Oatmeal Masks
Cucumber and oatmeal masks tend to have a soothing natural exfoliating property that helps to gently cleanse the pores and lift excess oils off the surface of the skin. To make the mask, puree ¼ of a cucumber and set aside. Prepare one serving of oatmeal as directed and mix in 3 Tablespoons of honey. Mix in the cucumber and set aside to cool. Wash your face with mild soap and pat dry. When the mixture is cool, apply evenly to your face and allow it to sit on your face for 20 minutes. Rinse with cool water and pat dry.
Orange Peels and Water
A paste of crushed orange peels mixed along with water can be applied to your oily face and can be rinsed off with luke warm water after 20 to 30 minutes for effective pimples treatment.
Saturday, May 28, 2011
123456789 = 100
123456789 = 100
© Copyright 2003, Jim LoyPuzzle: I received email asking me to make the numbers 123456789 add up to 100, by inserting any of these arithmetic operations (+ - * /) into the string of numbers (and keeping the numbers in the above order). I've seen this in a book somewhere, and I think the book gave only one solution. You might want to try it.
Solution: I found this solution by hand: 1+2+3-4+5+6+78+9, and my computer (with the standard computer rules of precendence, like 1/2*34 is 17) found all of these solutions:
1 123+45-67+8-9
2 123+4-5+67-89
3 123+4*5-6*7+8-9
4 123-45-67+89
5 123-4-5-6-7+8-9
6 12+34+5*6+7+8+9
7 12+34-5+6*7+8+9
8 12+34-5-6+7*8+9
9 12+34-5-6-7+8*9
10 12+3+4+5-6-7+89
11 12+3+4-56/7+89
12 12+3-4+5+67+8+9
13 12+3*45+6*7-89
14 12+3*4+5+6+7*8+9
15 12+3*4+5+6-7+8*9
16 12+3*4-5-6+78+9
17 12-3+4*5+6+7*8+9
18 12-3+4*5+6-7+8*9
19 12-3-4+5-6+7+89
20 12-3-4+5*6+7*8+9
21 12-3-4+5*6-7+8*9
22 12*3-4+5-6+78-9
23 12*3-4-5-6+7+8*9
24 12*3-4*5+67+8+9
25 12/3+4*5-6-7+89
26 12/3+4*5*6-7-8-9
27 12/3+4*5*6*7/8-9
28 12/3/4+5*6+78-9
29 1+234-56-7-8*9
30 1+234*5*6/78+9
31 1+234*5/6-7-89
32 1+23-4+56+7+8+9
33 1+23-4+56/7+8*9
34 1+23-4+5+6+78-9
35 1+23-4-5+6+7+8*9
36 1+23*4+56/7+8-9
37 1+23*4+5-6+7-8+9
38 1+23*4-5+6+7+8-9
39 1+2+34-5+67-8+9
40 1+2+34*5+6-7-8*9
41 1+2+3+4+5+6+7+8*9
42 1+2+3-45+67+8*9
43 1+2+3-4+5+6+78+9
44 1+2+3-4*5+6*7+8*9
45 1+2+3*4-5-6+7+89
46 1+2+3*4*56/7-8+9
47 1+2+3*4*5/6+78+9
48 1+2-3*4+5*6+7+8*9
49 1+2-3*4-5+6*7+8*9
50 1+2*34-56+78+9
51 1+2*3+4+5+67+8+9
52 1+2*3+4*5-6+7+8*9
53 1+2*3-4+56/7+89
54 1+2*3-4-5+6+7+89
55 1+2*3*4*5/6+7+8*9
56 1-23+4*5+6+7+89
57 1-23-4+5*6+7+89
58 1-23-4-5+6*7+89
59 1-2+3+45+6+7*8-9
60 1-2+3*4+5+67+8+9
61 1-2+3*4*5+6*7+8-9
62 1-2+3*4*5-6+7*8-9
63 1-2-34+56+7+8*9
64 1-2-3+45+6*7+8+9
65 1-2-3+45-6+7*8+9
66 1-2-3+45-6-7+8*9
67 1-2-3+4*56/7+8*9
68 1-2-3+4*5+67+8+9
69 1-2*3+4*5+6+7+8*9
70 1-2*3-4+5*6+7+8*9
71 1-2*3-4-5+6*7+8*9
72 1*234+5-67-8*9
73 1*23+4+56/7*8+9
74 1*23+4+5+67-8+9
75 1*23-4+5-6-7+89
76 1*23-4-56/7+89
77 1*23*4-56/7/8+9
78 1*2+34+56+7-8+9
79 1*2+34+5+6*7+8+9
80 1*2+34+5-6+7*8+9
81 1*2+34+5-6-7+8*9
82 1*2+34-56/7+8*9
83 1*2+3+45+67-8-9
84 1*2+3+4*5+6+78-9
85 1*2+3-4+5*6+78-9
86 1*2+3*4+5-6+78+9
87 1*2-3+4+56/7+89
88 1*2-3+4-5+6+7+89
89 1*2-3+4*5-6+78+9
90 1*2*34+56-7-8-9
91 1*2*3+4+5+6+7+8*9
92 1*2*3-45+67+8*9
93 1*2*3-4+5+6+78+9
94 1*2*3-4*5+6*7+8*9
95 1*2*3*4+5+6+7*8+9
96 1*2*3*4+5+6-7+8*9
97 1*2*3*4-5-6+78+9
98 1*2/3+4*5/6+7+89
99 1/2*34-5+6-7+89
100 1/2*3/4*56+7+8*9
101 1/2/3*456+7+8+9The shortest solution (fewest operations) is 123-45-67+89. There are 15 solutions with no two-digit or three-digit numbers. There are more solutions, if a negative sign (which is different from subtraction) is allowed. Allowing parentheses would produce a lot more solutions. There are quite a few longest solutions, with nine operations.Addendum:
A reader sent this email:
I send out a daily brainteaser to my group here at work and one of my co-workers came up with a new solution to your 123456789=100 puzzle. Just thought you'd like to know. 1 * 2 + 3 * 4 * 5 + 6 - 7 - 8 + 9 = 100!1*2+3*4*5+6-7-8+9 does not come out to 100, if it is viewed as a mathematical expression, because multiplication (or division) has precedence over addition or subtraction. We do the multiplication first, and then the addition and/or subtraction last. We mainly see this in algebra [where a+bc is a+(bc) and not (a+b)c] and in computer programming in BASIC and other languages (there are also languages with different kinds of precedence).
But this sequence of numbers and operations can also be viewed as a sequence of calculator key strokes, performed absolutely left to right, in which case it does come out to 100 (but not on my two scientific calculators). Most of my solutions above do not come out to 100 if done left to right. In my view, 1*2+3*4*5+6-7-8+9 does not indicate key strokes, but is a mathematical expression, and it requires a pair of parentheses to come out right: (1*2+3)*4*5+6-7-8+9 = 100.
With that warning about precedence, some people may still find some of my solutions confusing, like 1/2*3/4*56+7+8*9. Since multiplication and division have the same precedence, we evaluate them left to right, and so there is no problem. But some people may see the 2*3 as being a denominator. Similarly, with 1/2/3*456+7+8+9, some people may see the 2/3 as a denominator. But the most common standard is to do these divisions left to right.
A woman sent me this puzzle: _/_*_+_*_*_/_+_*_ = 100. Fill in the blanks with the digits 1 through 9 in any order. From the way it was described to me, ignore the rules of operator precedence, and just perform the operations from left to right. Thus, this works on the simplest of calculators, but will probably fail on some scientific calculators (unless you press = or ENTER after each digit). There are, of course, 362,880 ways to arrange these nine digits, and here are the 199 solutions:
1 1/2*7+5*3*6/9+8*4
2 1/2*7+5*6*3/9+8*4
3 1/2*8+5*3*6/9+7*4
4 1/2*8+5*6*3/9+7*4
5 1/3*6+5*2*8/7+9*4
6 1/3*6+5*8*2/7+9*4
7 1/3*6+7*2*8/9+4*5
8 1/3*6+7*8*2/9+4*5
9 1/3*8+9*2*6/7+5*4
10 1/3*8+9*6*2/7+5*4
11 1/3*9+4*2*6/7+8*5
12 1/3*9+4*6*2/7+8*5
13 1/4*7+2*3*6/9+5*8
14 1/4*7+2*6*3/9+5*8
15 1/4*8+7*3*6/9+2*5
16 1/4*8+7*6*3/9+2*5
17 1/6*2+5*3*9/8+7*4
18 1/6*2+5*9*3/8+7*4
19 1/6*2+7*3*4/8+9*5
20 1/6*2+7*4*3/8+9*5
21 1/6*8+2*3*9/5+7*4
22 1/6*8+2*9*3/5+7*4
23 1/9*3+2*6*8/7+4*5
24 1/9*3+2*8*6/7+4*5
25 1/9*5+8*3*4/7+2*6
26 1/9*5+8*4*3/7+2*6
27 1/9*6+8*2*3/4+7*5
28 1/9*6+8*3*2/4+7*5
29 1/9*7+5*2*3/4+8*6
30 1/9*7+5*3*2/4+8*6
31 1/9*8+2*3*6/4+7*5
32 1/9*8+2*6*3/4+7*5
33 2/3*5+6*8*9/7+4*1
34 2/3*5+6*9*8/7+4*1
35 2/4*8+1*3*7/9+5*6
36 2/4*8+1*7*3/9+5*6
37 2/6*1+5*3*9/8+7*4
38 2/6*1+5*9*3/8+7*4
39 2/6*1+7*3*4/8+9*5
40 2/6*1+7*4*3/8+9*5
41 2/6*7+1*3*8/5+9*4
42 2/6*7+1*8*3/5+9*4
43 2/6*7+3*1*9/4+8*5
44 2/6*7+3*9*1/4+8*5
45 2/6*9+7*1*3/4+5*8
46 2/6*9+7*3*1/4+5*8
47 2/8*9+5*1*4/3+7*6
48 2/8*9+5*4*1/3+7*6
49 2/9*3+8*1*6/4+7*5
50 2/9*3+8*6*1/4+7*5
51 3/2*5+8*4*9/6+7*1
52 3/2*5+8*9*4/6+7*1
53 3/2*6+5*1*8/7+9*4
54 3/2*6+5*8*1/7+9*4
55 3/4*9+2*1*6/7+5*8
56 3/4*9+2*6*1/7+5*8
57 3/6*7+2*1*8/4+9*5
58 3/6*7+2*8*1/4+9*5
59 3/6*8+1*2*9/5+7*4
60 3/6*8+1*9*2/5+7*4
61 3/6*9+2*1*8/4+7*5
62 3/6*9+2*8*1/4+7*5
63 3/9*1+2*6*8/7+4*5
64 3/9*1+2*8*6/7+4*5
65 3/9*2+8*1*6/4+7*5
66 3/9*2+8*6*1/4+7*5
67 3/9*5+2*1*6/4+7*8
68 3/9*5+2*6*1/4+7*8
69 3/9*6+5*7*8/4+2*1
70 3/9*6+5*8*7/4+2*1
71 3/9*6+7*1*8/4+2*5
72 3/9*6+7*8*1/4+2*5
73 3/9*7+5*1*8/4+2*6
74 3/9*7+5*8*1/4+2*6
75 4/2*7+8*1*3/6+9*5
76 4/2*7+8*3*1/6+9*5
77 4/2*9+8*1*3/6+7*5
78 4/2*9+8*3*1/6+7*5
79 4/3*9+2*1*6/7+8*5
80 4/3*9+2*6*1/7+8*5
81 4/8*7+2*1*6/3+9*5
82 4/8*7+2*6*1/3+9*5
83 4/8*9+2*1*6/3+7*5
84 4/8*9+2*6*1/3+7*5
85 5/2*3+8*4*9/6+7*1
86 5/2*3+8*9*4/6+7*1
87 5/3*2+6*8*9/7+4*1
88 5/3*2+6*9*8/7+4*1
89 5/3*9+7*1*8/4+6*2
90 5/3*9+7*8*1/4+6*2
91 5/4*6+8*2*9/3+7*1
92 5/4*6+8*9*2/3+7*1
93 5/4*7+1*2*3/9+6*8
94 5/4*7+1*3*2/9+6*8
95 5/6*7+1*3*8/4+9*2
96 5/6*7+1*8*3/4+9*2
97 5/6*9+3*2*8/7+1*4
98 5/6*9+3*8*2/7+1*4
99 5/6*9+8*3*4/2+7*1
100 5/6*9+8*4*3/2+7*1
101 5/9*1+8*3*4/7+2*6
102 5/9*1+8*4*3/7+2*6
103 5/9*3+2*1*6/4+7*8
104 5/9*3+2*6*1/4+7*8
105 6/2*3+5*1*8/7+9*4
106 6/2*3+5*8*1/7+9*4
107 6/2*9+7*1*4/8+3*5
108 6/2*9+7*4*1/8+3*5
109 6/3*1+5*2*8/7+9*4
110 6/3*1+5*8*2/7+9*4
111 6/3*1+7*2*8/9+4*5
112 6/3*1+7*8*2/9+4*5
113 6/3*7+8*1*2/4+9*5
114 6/3*7+8*2*1/4+9*5
115 6/3*9+8*1*2/4+7*5
116 6/3*9+8*2*1/4+7*5
117 6/4*5+8*2*9/3+7*1
118 6/4*5+8*9*2/3+7*1
119 6/9*1+8*2*3/4+7*5
120 6/9*1+8*3*2/4+7*5
121 6/9*3+5*7*8/4+2*1
122 6/9*3+5*8*7/4+2*1
123 6/9*3+7*1*8/4+2*5
124 6/9*3+7*8*1/4+2*5
125 7/2*1+5*3*6/9+8*4
126 7/2*1+5*6*3/9+8*4
127 7/2*4+8*1*3/6+9*5
128 7/2*4+8*3*1/6+9*5
129 7/2*8+5*1*6/9+3*4
130 7/2*8+5*6*1/9+3*4
131 7/3*6+8*1*2/4+9*5
132 7/3*6+8*2*1/4+9*5
133 7/4*1+2*3*6/9+5*8
134 7/4*1+2*6*3/9+5*8
135 7/4*5+1*2*3/9+6*8
136 7/4*5+1*3*2/9+6*8
137 7/4*9+8*2*6/3+5*1
138 7/4*9+8*6*2/3+5*1
139 7/6*2+1*3*8/5+9*4
140 7/6*2+1*8*3/5+9*4
141 7/6*2+3*1*9/4+8*5
142 7/6*2+3*9*1/4+8*5
143 7/6*3+2*1*8/4+9*5
144 7/6*3+2*8*1/4+9*5
145 7/6*5+1*8*3/4+9*2
146 7/8*4+2*1*6/3+9*5
147 7/8*4+2*6*1/3+9*5
148 7/9*1+5*2*3/4+8*6
149 7/9*1+5*3*2/4+8*6
150 7/9*3+5*1*8/4+2*6
151 7/9*3+5*8*1/4+2*6
152 8/2*1+5*3*6/9+7*4
153 8/2*1+5*6*3/9+7*4
154 8/2*7+5*1*6/9+3*4
155 8/2*7+5*6*1/9+3*4
156 8/3*1+9*2*6/7+5*4
157 8/3*1+9*6*2/7+5*4
158 8/4*1+7*3*6/9+2*5
159 8/4*1+7*6*3/9+2*5
160 8/4*2+1*3*7/9+5*6
161 8/4*2+1*7*3/9+5*6
162 8/4*9+3*1*6/7+2*5
163 8/4*9+3*6*1/7+2*5
164 8/6*1+2*3*9/5+7*4
165 8/6*1+2*9*3/5+7*4
166 8/6*3+1*2*9/5+7*4
167 8/6*3+1*9*2/5+7*4
168 8/9*1+2*3*6/4+7*5
169 8/9*1+2*6*3/4+7*5
170 9/2*4+8*1*3/6+7*5
171 9/2*4+8*3*1/6+7*5
172 9/2*6+7*1*4/8+3*5
173 9/2*6+7*4*1/8+3*5
174 9/3*1+4*2*6/7+8*5
175 9/3*1+4*6*2/7+8*5
176 9/3*4+2*1*6/7+8*5
177 9/3*4+2*6*1/7+8*5
178 9/3*5+7*1*8/4+6*2
179 9/3*5+7*8*1/4+6*2
180 9/3*6+8*1*2/4+7*5
181 9/3*6+8*2*1/4+7*5
182 9/4*3+2*1*6/7+5*8
183 9/4*3+2*6*1/7+5*8
184 9/4*7+8*2*6/3+5*1
185 9/4*7+8*6*2/3+5*1
186 9/4*8+3*1*6/7+2*5
187 9/4*8+3*6*1/7+2*5
188 9/6*2+7*1*3/4+5*8
189 9/6*2+7*3*1/4+5*8
190 9/6*3+2*1*8/4+7*5
191 9/6*3+2*8*1/4+7*5
192 9/6*5+3*2*8/7+1*4
193 9/6*5+3*8*2/7+1*4
194 9/6*5+8*3*4/2+7*1
195 9/6*5+8*4*3/2+7*1
196 9/8*2+5*1*4/3+7*6
197 9/8*2+5*4*1/3+7*6
198 9/8*4+2*1*6/3+7*5
199 9/8*4+2*6*1/3+7*5
No decent puzzle composer would poze a problem which has 199 solutions.I reported the above solutions to the above-mentioned woman, and she informed me that the rules of operator precendence DO apply to this puzzle, and then she became somewhat insulting (as seems to happen a lot on the Internet). Here are the 192 solutions, in that case, which I did not send to her:
1 1/2*6+5*7*8/4+3*9
2 1/2*6+5*7*8/4+9*3
3 1/2*6+5*8*7/4+3*9
4 1/2*6+5*8*7/4+9*3
5 1/2*6+7*5*8/4+3*9
6 1/2*6+7*5*8/4+9*3
7 1/2*6+7*8*5/4+3*9
8 1/2*6+7*8*5/4+9*3
9 1/2*6+8*5*7/4+3*9
10 1/2*6+8*5*7/4+9*3
11 1/2*6+8*7*5/4+3*9
12 1/2*6+8*7*5/4+9*3
13 4/1*8+2*3*5/6+7*9
14 4/1*8+2*3*5/6+9*7
15 4/1*8+2*5*3/6+7*9
16 4/1*8+2*5*3/6+9*7
17 4/1*8+3*2*5/6+7*9
18 4/1*8+3*2*5/6+9*7
19 4/1*8+3*5*2/6+7*9
20 4/1*8+3*5*2/6+9*7
21 4/1*8+5*2*3/6+7*9
22 4/1*8+5*2*3/6+9*7
23 4/1*8+5*3*2/6+7*9
24 4/1*8+5*3*2/6+9*7
25 4/6*9+2*5*7/1+3*8
26 4/6*9+2*5*7/1+8*3
27 4/6*9+2*7*5/1+3*8
28 4/6*9+2*7*5/1+8*3
29 4/6*9+5*2*7/1+3*8
30 4/6*9+5*2*7/1+8*3
31 4/6*9+5*7*2/1+3*8
32 4/6*9+5*7*2/1+8*3
33 4/6*9+7*2*5/1+3*8
34 4/6*9+7*2*5/1+8*3
35 4/6*9+7*5*2/1+3*8
36 4/6*9+7*5*2/1+8*3
37 4/8*6+2*5*7/1+3*9
38 4/8*6+2*5*7/1+9*3
39 4/8*6+2*7*5/1+3*9
40 4/8*6+2*7*5/1+9*3
41 4/8*6+5*2*7/1+3*9
42 4/8*6+5*2*7/1+9*3
43 4/8*6+5*7*2/1+3*9
44 4/8*6+5*7*2/1+9*3
45 4/8*6+7*2*5/1+3*9
46 4/8*6+7*2*5/1+9*3
47 4/8*6+7*5*2/1+3*9
48 4/8*6+7*5*2/1+9*3
49 6/2*1+5*7*8/4+3*9
50 6/2*1+5*7*8/4+9*3
51 6/2*1+5*8*7/4+3*9
52 6/2*1+5*8*7/4+9*3
53 6/2*1+7*5*8/4+3*9
54 6/2*1+7*5*8/4+9*3
55 6/2*1+7*8*5/4+3*9
56 6/2*1+7*8*5/4+9*3
57 6/2*1+8*5*7/4+3*9
58 6/2*1+8*5*7/4+9*3
59 6/2*1+8*7*5/4+3*9
60 6/2*1+8*7*5/4+9*3
61 6/2*9+5*7*8/4+1*3
62 6/2*9+5*7*8/4+3*1
63 6/2*9+5*8*7/4+1*3
64 6/2*9+5*8*7/4+3*1
65 6/2*9+7*5*8/4+1*3
66 6/2*9+7*5*8/4+3*1
67 6/2*9+7*8*5/4+1*3
68 6/2*9+7*8*5/4+3*1
69 6/2*9+8*5*7/4+1*3
70 6/2*9+8*5*7/4+3*1
71 6/2*9+8*7*5/4+1*3
72 6/2*9+8*7*5/4+3*1
73 6/8*4+2*5*7/1+3*9
74 6/8*4+2*5*7/1+9*3
75 6/8*4+2*7*5/1+3*9
76 6/8*4+2*7*5/1+9*3
77 6/8*4+5*2*7/1+3*9
78 6/8*4+5*2*7/1+9*3
79 6/8*4+5*7*2/1+3*9
80 6/8*4+5*7*2/1+9*3
81 6/8*4+7*2*5/1+3*9
82 6/8*4+7*2*5/1+9*3
83 6/8*4+7*5*2/1+3*9
84 6/8*4+7*5*2/1+9*3
85 7/1*9+2*3*5/6+4*8
86 7/1*9+2*3*5/6+8*4
87 7/1*9+2*5*3/6+4*8
88 7/1*9+2*5*3/6+8*4
89 7/1*9+3*2*5/6+4*8
90 7/1*9+3*2*5/6+8*4
91 7/1*9+3*5*2/6+4*8
92 7/1*9+3*5*2/6+8*4
93 7/1*9+5*2*3/6+4*8
94 7/1*9+5*2*3/6+8*4
95 7/1*9+5*3*2/6+4*8
96 7/1*9+5*3*2/6+8*4
97 7/4*8+3*6*9/2+1*5
98 7/4*8+3*6*9/2+5*1
99 7/4*8+3*9*6/2+1*5
100 7/4*8+3*9*6/2+5*1
101 7/4*8+6*3*9/2+1*5
102 7/4*8+6*3*9/2+5*1
103 7/4*8+6*9*3/2+1*5
104 7/4*8+6*9*3/2+5*1
105 7/4*8+9*3*6/2+1*5
106 7/4*8+9*3*6/2+5*1
107 7/4*8+9*6*3/2+1*5
108 7/4*8+9*6*3/2+5*1
109 8/1*4+2*3*5/6+7*9
110 8/1*4+2*3*5/6+9*7
111 8/1*4+2*5*3/6+7*9
112 8/1*4+2*5*3/6+9*7
113 8/1*4+3*2*5/6+7*9
114 8/1*4+3*2*5/6+9*7
115 8/1*4+3*5*2/6+7*9
116 8/1*4+3*5*2/6+9*7
117 8/1*4+5*2*3/6+7*9
118 8/1*4+5*2*3/6+9*7
119 8/1*4+5*3*2/6+7*9
120 8/1*4+5*3*2/6+9*7
121 8/3*9+4*5*7/2+1*6
122 8/3*9+4*5*7/2+6*1
123 8/3*9+4*7*5/2+1*6
124 8/3*9+4*7*5/2+6*1
125 8/3*9+5*4*7/2+1*6
126 8/3*9+5*4*7/2+6*1
127 8/3*9+5*7*4/2+1*6
128 8/3*9+5*7*4/2+6*1
129 8/3*9+7*4*5/2+1*6
130 8/3*9+7*4*5/2+6*1
131 8/3*9+7*5*4/2+1*6
132 8/3*9+7*5*4/2+6*1
133 8/4*7+3*6*9/2+1*5
134 8/4*7+3*6*9/2+5*1
135 8/4*7+3*9*6/2+1*5
136 8/4*7+3*9*6/2+5*1
137 8/4*7+6*3*9/2+1*5
138 8/4*7+6*3*9/2+5*1
139 8/4*7+6*9*3/2+1*5
140 8/4*7+6*9*3/2+5*1
141 8/4*7+9*3*6/2+1*5
142 8/4*7+9*3*6/2+5*1
143 8/4*7+9*6*3/2+1*5
144 8/4*7+9*6*3/2+5*1
145 9/1*7+2*3*5/6+4*8
146 9/1*7+2*3*5/6+8*4
147 9/1*7+2*5*3/6+4*8
148 9/1*7+2*5*3/6+8*4
149 9/1*7+3*2*5/6+4*8
150 9/1*7+3*2*5/6+8*4
151 9/1*7+3*5*2/6+4*8
152 9/1*7+3*5*2/6+8*4
153 9/1*7+5*2*3/6+4*8
154 9/1*7+5*2*3/6+8*4
155 9/1*7+5*3*2/6+4*8
156 9/1*7+5*3*2/6+8*4
157 9/2*6+5*7*8/4+1*3
158 9/2*6+5*7*8/4+3*1
159 9/2*6+5*8*7/4+1*3
160 9/2*6+5*8*7/4+3*1
161 9/2*6+7*5*8/4+1*3
162 9/2*6+7*5*8/4+3*1
163 9/2*6+7*8*5/4+1*3
164 9/2*6+7*8*5/4+3*1
165 9/2*6+8*5*7/4+1*3
166 9/2*6+8*5*7/4+3*1
167 9/2*6+8*7*5/4+1*3
168 9/2*6+8*7*5/4+3*1
169 9/3*8+4*5*7/2+1*6
170 9/3*8+4*5*7/2+6*1
171 9/3*8+4*7*5/2+1*6
172 9/3*8+4*7*5/2+6*1
173 9/3*8+5*4*7/2+1*6
174 9/3*8+5*4*7/2+6*1
175 9/3*8+5*7*4/2+1*6
176 9/3*8+5*7*4/2+6*1
177 9/3*8+7*4*5/2+1*6
178 9/3*8+7*4*5/2+6*1
179 9/3*8+7*5*4/2+1*6
180 9/3*8+7*5*4/2+6*1
181 9/6*4+2*5*7/1+3*8
182 9/6*4+2*5*7/1+8*3
183 9/6*4+2*7*5/1+3*8
184 9/6*4+2*7*5/1+8*3
185 9/6*4+5*2*7/1+3*8
186 9/6*4+5*2*7/1+8*3
187 9/6*4+5*7*2/1+3*8
188 9/6*4+5*7*2/1+8*3
189 9/6*4+7*2*5/1+3*8
190 9/6*4+7*2*5/1+8*3
191 9/6*4+7*5*2/1+3*8
192 9/6*4+7*5*2/1+8*3Number Magic
Number Magic
© Copyright 2002, Jim LoyA few number magic tricks:
1. Pick a number, add 2, multiply by 3, subtract 6, divide by 3. You get the number you started with.This works for other, larger numbers. I started with add 2 and multiply 3. But any two numbers work, just multiply them together to get the next number that you subtract.
2. Pick a number, square it (probably need a calculator for big numbers), add twice the original number, add one, take the square root (rounding it to the nearest whole number, 7.999... becomes 8), subtract 1, you get the number you started with. I made that one up.These can be made into number guessing games. In the first one, don't have them divide by three at the end. Just have them tell you the answer and you can guess the original number by dividing by three. In that case, you may want many more steps, in order to make it more impressive and so they won't think that you just did the same arithmetic that they did, but backwards. Here is something like that:
3. Pick a number, multiply by 5, add 6, multiply by 4, add 9, multiply by 5, tell me the number you got there, I then tell you your original number.Or you can make the steps come out to the same number every time. Here is an improved version of that second one. Just say, "I'll bet your answer is on this piece of paper" which you wrote the answer 5 on already:
4. Pick a number, square it, add ten times the original number, add 25, take the square root (rounding to the nearest whole number), subtract your original number. I'll bet your answer is 5.Other number magic:
5. Here's a more complicated one from Brain Boosters: Pick number between 1 and 100, add 28, multiply by 6, subtract 3, divide by 3, subtract the original number plus 3, add 8, subtract the original number minus 1, multiply by 7. Your answer was 427.
6. Use a calculator for this one: Pick a number 1 through 9, multiply by 12345679 (notice there is no 8 there), multiply by 9. Do you see your original number?I added 5 instead of subtracting 5. And the original limited the original number to 1 through 9, which is unnecessary. Some people might pick Dominican Republic, or an even more exotic country, or a more exotic animal.
7. You write a number with 5 digits, maybe 38725 I write a number below that, like 61274 You write a 5-digit number below that, like 16391 I write a number below that, like 83608 You write a 5-digit number below that, like 67321 I then draw a line below that and write the sum, 267319 Someone verifies this answer with a calculator.
8. Pick a 3-digit number in which the first and last digits differ by more than one, reverse this number (531 becomes 135) and subtract the smaller from the larger, add this number to the reverse of itself. I'll bet your answer is 1089.
9. I received this in my email (I modified it slightly): Pick a number (one to three digits probably), add 5, multiply by 3, square this number, add the digits over and over until you get only one digit (i.e. 64=6+4=10=1+0=1), if the number is less than 5 then add five otherwise subtract 4, multiply by 2, subtract 6, use this number to select a letter of the alphabet 1=A, 2=B, 3=C, etc., pick the name of a country that begins with that letter, take the second letter in the country name and think of an animal that begins with that letter, but there are no elephants in Denmark!
10. Here is collection of seven cards which you may have seen (the numbers on the cards often go up to 127 or so):See Super Brain.
Pick a number from 1 to 100. I then show you each card, one at a time, and ask, "Is your number on this card?" After I have shown you all seven cards, I then tell you your number. Other collections of cards also work, but are less efficient (require more cards for 1-100).
How they work:
You may want to try to figure out how the above tricks work, before reading further.
1. Pick a number, add 2, multiply by 3, subtract 6, divide by 3. You get the number you started with.Converting to an algebraic expression: (3(x+2)-6)/3, which is x.
2. Pick a number, square it (probably need a calculator for big numbers), add twice the original number, add one, take the square root (rounding it to the nearest whole number, 7.999... becomes 8), subtract 1, you get the number you started with. I made that one up. Other squaring formulas work.The expression before taking the square root is x^2+2x+1, which is a perfect square. The square root is x+1, we subtract 1, and get x.
3. Pick a number, multiply by 5, add 6, multiply by 4, add 9, multiply by 5, tell me the number you got there, I then tell you your original number.This is 5(4(5x+6)+9), which is 100x+165. So, to guess your number I subtract 165 (easy as your answer ends in . . . 65) and divide by 100.
4. Pick a number, square it, add ten times the original number, add 25, take the square root (rounding to the nearest whole number), subtract your original number. I'll bet your answer is 5.Before we take the square root, we have x^2+10x+25, which is a perfect square. The square root is x+5; we subtract x, and get 5.
5. Here's a more complicated one from Brain Boosters: Pick number between 1 and 100, add 28, multiply by 6, subtract 3, divide by 3, subtract the original number plus 3, add 8, subtract the original number minus 1, multiply by 7. Your answer was 427.Here the many steps are simple, and we subtract out the original number until it is gone, and 427 is what is left.
6. Use a calculator for this one: Pick a number 1 through 9, multiply by 12345679 (notice there is no 8 there), multiply by 9. Do you see your original number?12345679x9 is coincidentally 111111111. Our single-digit number times this is that digit repeated nine times.
7. You write a number with 5 digits, maybe 38725 I write a number below that, like 61274 You write a 5-digit number below that, like 16391 I write a number below that, like 83608 You write a 5-digit number below that, like 67321 I then draw a line below that and write the sum, 267319 Someone verifies this answer with a calculator.The numbers that I wrote were 99999-whatever number you wrote (easy to do). So I just added 200000 to your last number, and subtracted 2. You can do this with numbers with more digits.
8. Pick a 3-digit number in which the first and last digits differ by more than one, reverse this number (531 becomes 135) and subtract the smaller from the larger, add this number to the reverse of itself. I'll bet your answer is 1089.I guess we have to stipulate that the first and last digits must differ by more than one, so we ever don't end up with a zero as the left digit, which would complicate matters. Here is our number (pretend that x>z): 100x+10y+z. We reverse and subtract: 100(x-z-1)+90+(10-x+z). The reverse of this is 100(10-x+z)+90+(x-z-1). Adding, we get 1089.
9. I received this in my email (I modified it slightly): Pick a number (one to three digits probably), add 5, multiply by 3, square this number, add the digits over and over until you get only one digit (i.e. 64=6+4=10=1+0=1), if the number is less than 5 then add five otherwise subtract 4, multiply by 2, subtract 6, use this number to select a letter of the alphabet 1=A, 2=B, 3=C, etc., pick the name of a country that begins with that letter, take the second letter in the country name and think of an animal that begins with that letter, but there are no elephants in Denmark!This looks a little mysterious, until we see that we multiplied by 3 and then squared, so after squaring we have a multiple of 9, and we don't care what it is. Adding the digits over and over is called Casting Out Nines. Since our number is a multiple of 9, repeated adding of the digits should give us 9 (or 0). Subtract 4, multiply by 2, subtract 6 gives us 4, which maps with D. We are likely to guess Denmark, and elephant.
10. Here is collection of seven cards which you may have seen (the numbers on the cards often go up to 127 or so):This is just a translation of your secret number to or from binary (base-2) form. If your number is on the seventh card, I notice that that card has a 64 in the upper left corner, and I remember that 64 (otherwise I remember 0). If your number is on the sixth card, I add 32 to the previous number, etc. Let's say your number was 37. It's not on the seventh card, it is on the sixth (total = 32). It is on the third card (total=36), and it is on the first card (total=37). Your number is 37. So, why did that work? Well, the seventh card lists all numbers from 1 to 100 in which the seventh binary digit (64) is 1. The sixth card lists all numbers in which the sixth binary digit (32) is 1, etc. Adding up these numbers (32+4+1 in the case of 37) is exactly how we convert from binary to decimal.
Pick a number from 1 to 100. I then show you each card, one at a time, and ask, "Is your number on this card?" After I have shown you all seven cards, I then tell you your number. Other collections of cards also work, but are less efficient (require more cards for 1-100).
Thursday, May 26, 2011
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