by Jimmy Cox
Hard though this may be to believe, if you use the following method for addition, you will greatly increase your speed.
Add With Complements
The basic rule for the new technique is this: To "add" over ten, subtract the complement of the larger digit from the smaller digit - and record a ten.
First we need to learn what complements are. Then we will take up how to record tens. Both are easy.
What is a complement? A complement is simply the digit that, added to the digit you have, adds up to ten. You might say that a complement is that digit needed (in addition to the one you have) to complete a ten.
For example: The complement of 9 is 1, because 9 + 1 is ten. The complementt of 8 is 2, because 8 + 2 is ten. The complement of 7 is 3, and the complement of 6 is 4, because 7 + 3 is ten and 6 + 4 is ten. Even in your sleep you would answer that the complement of 5 is 5.
Those are all the complements you ever have to remember in adding the longest column of figures. There are only five of them: five pairs, you will note, that add up to ten in the table of possible combinations.
Before learning how to add with complements, make doubly sure that you have the idea by looking at the following digits and giving their complements. Try to "read" the complement of each. 7 6 9 5 8
The way you add with complements takes a bit of getting used to. But it is one of the most fascinating and fruitful approaches known to short-cut arithmetic. You "add" two digits that total more than ten by subtracting the complement of the larger digit from the smaller digit and recording a ten.
In order to add 6 + 7, you subtract the complement of 7(3) from 6, and record a ten. 6 - 3 gives 3. The recorded ten makes it 13.
Or to add 8 + 4, you subtract the complement of 8 (2) from 4 and record a ten. 4 - 2 gives 2. The recorded ten makes it 12. It is useful to subtract the complement of the larger digit rather than the complement of the smaller. In this way you cut in half the number of complements you have to remember at this stage - though the other half of the complements are really only the same pairs of digits that add up to ten turned around. Just as 2 is the complement of 8, so is 8 the complement of 2.
Try it yourself, before going any further. Add 7 9 by subtracting the complement of the larger digit from the smaller digit. The complement of The complement of 9 is - 7 - is -Remember to record a ten. So the answer is 16. I hope that is what you arrived at through the new method, even the first time. If not, then it hasn't become clear yet. Another reading of the article is indicated.
Now add 3 + 8. Would you subtract the complement of 8 from 3? What is the complement of 8? Don't forget to record a ten.
Strange and complex as this system undoubtedly seems at the moment, it is really far faster. This is because you are working with only the easier half of the forty-five digit combinations, the half that add up to less than ten.
Each time you use it, the system will become a little easier and more natural.
Add 6 + 5. The complement of 6 is - 5 minus - is - Record a ten.
As you incorporate this method into your life you will see what a difference it makes.
About the Author
Free Math Worksheets That Shoot Your Child To The Top Of The Class In Only Days
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Sunday, November 25, 2007
Thursday, October 04, 2007
Several Causes of Sleep Apnea
What is the cause of sleep apnea? It occurs when a person experiences an interruption in breathing during sleep. Several things can be considered a cause though. Some people may experience a relaxing of the tongue and throat muscles during sleep, which will partially block the airway opening. The muscles at the base of the tongue and the uvula relax and cause the airway to become blocked. When the airway is blocked a persons breathing becomes difficult and noisy and in the case of sleep apnea can stop altogether. The uvula is the small fleshy piece of tissue hanging from the back of a person’s throat.
Obesity is also a sleep apnea cause. Overweight people can have excess amount of tissue in their airway thus causing it to narrow. The problem then is that the person continues to try to breathe normally but air cannot flow in or out of their nose or mouth. Since the person is sleeping, they do not know that they are now snoring heavily or experiencing periods of no breathing. The person will also frequently wake and frequently move from a deep sleep to a light sleep. Consumption of alcohol and sleeping pills will increase the possible frequency and the length of time of the breathing pauses for a person with sleep apnea.
When suffering from sleep apnea a person cannot breathe in oxygen and thus they are also unable to exhale carbon dioxide which then results in the individual receiving low levels of oxygen and higher levels of carbon dioxide in the their blood. These two events alert the brain to resume breathing and cause an arousal. The arousal is a signal that the brain sends to the upper airway muscles to open the airway. This opening of the airway causes the person to gasp or snort aloud. These frequent periods of waking really prevent the sleep apnea sufferer from getting a restful night sleep.
It is not clearly known whether sleep apnea causes other conditions such as high blood pressure but a study concluded that up to fifty percent of sufferers do have high blood pressure. However, these results certainly lead to the idea that this sleep disorder may cause high blood pressure. People with this type of sleep disorder quite often feel very sleepy during the day due to their interrupted sleep.
Sleep apnea can cause depression, irritability, sexual problems, learning and memory issues as well. A sufferers spouse is usually the first person that notices a problem. They may notice loud snoring and a struggle to breathe during the night.
Co-workers who notice the person falling asleep at unusual times during the day may also identify a person with a sleep disorder. The most important factor is if someone close to you, suspects that you may have a sleep disorder do not ignore them. Have a doctor conduct some tests; you may need to go to a sleep clinic to have your sleeping patterns monitored. Trust your doctor, they can provide the best sleep apnea cause.
Do you suffer from sleep apnea? Our site focuses on sleep apnea treatments and symptoms for sufferers of sleep apnea.
by T. D. Houser
Obesity is also a sleep apnea cause. Overweight people can have excess amount of tissue in their airway thus causing it to narrow. The problem then is that the person continues to try to breathe normally but air cannot flow in or out of their nose or mouth. Since the person is sleeping, they do not know that they are now snoring heavily or experiencing periods of no breathing. The person will also frequently wake and frequently move from a deep sleep to a light sleep. Consumption of alcohol and sleeping pills will increase the possible frequency and the length of time of the breathing pauses for a person with sleep apnea.
When suffering from sleep apnea a person cannot breathe in oxygen and thus they are also unable to exhale carbon dioxide which then results in the individual receiving low levels of oxygen and higher levels of carbon dioxide in the their blood. These two events alert the brain to resume breathing and cause an arousal. The arousal is a signal that the brain sends to the upper airway muscles to open the airway. This opening of the airway causes the person to gasp or snort aloud. These frequent periods of waking really prevent the sleep apnea sufferer from getting a restful night sleep.
It is not clearly known whether sleep apnea causes other conditions such as high blood pressure but a study concluded that up to fifty percent of sufferers do have high blood pressure. However, these results certainly lead to the idea that this sleep disorder may cause high blood pressure. People with this type of sleep disorder quite often feel very sleepy during the day due to their interrupted sleep.
Sleep apnea can cause depression, irritability, sexual problems, learning and memory issues as well. A sufferers spouse is usually the first person that notices a problem. They may notice loud snoring and a struggle to breathe during the night.
Co-workers who notice the person falling asleep at unusual times during the day may also identify a person with a sleep disorder. The most important factor is if someone close to you, suspects that you may have a sleep disorder do not ignore them. Have a doctor conduct some tests; you may need to go to a sleep clinic to have your sleeping patterns monitored. Trust your doctor, they can provide the best sleep apnea cause.
Do you suffer from sleep apnea? Our site focuses on sleep apnea treatments and symptoms for sufferers of sleep apnea.
by T. D. Houser
Thursday, September 20, 2007
Snoring Can Be Misleading
by Shareen Aguilar
Recognize that noisy grumbling sound coming from your parents' room every night as you try to get some sleep? Yes, that is snoring and it is one of the most bothersome health problems that doesn't seem to have obvious side effects to people who has it. At least, not yet.
Snoring is often regarded as a harmless condition while the victim sleeps. But, like many others haven't thought about, snoring can lead to a serious health and breathing problem. This is not to say though that once a person starts to snore, serious snoring problem is the direct diagnosis. There are many factors as to how and why a person starts to snore. But there are also many minimal factors that cause snoring to take effect. Usually, when a person is congested along his air passage such as the throat and nose, a snoring sound is produced.
Almost all people experience snoring but this doesn't necessarily mean that they are deemed unhealthy or could have serious sleeping problems right away. But on the average, when a person starts to snore and continues to do it every time he sleeps, there is something wrong with his sleeping habits. But before you panic, determine first if there it is a serious case of snoring problem or not. Ask your partner if sleep disruption at night is often experienced. If this is caused by sleep apnea though, a case of snoring problem which involves breathing interruptions, the person who has this wouldn't remember any sleep disruption during his sleep. But you need to keep an eye on your partner at night for this case.
You can try early remedies and medications to prevent snoring. There are easy methods how to prevent snoring which, so far, is the type of ideal snoring remedy preferred over painful surgery. Keep in mind that if snoring problem persists, it could slowly turn your healthy lifestyle around. See a medical specialist about the most convenient and definite way to cure snoring to help the person you love.
About the Author
Click Stop Snoring to find out more about informative snoring remedies.
Recognize that noisy grumbling sound coming from your parents' room every night as you try to get some sleep? Yes, that is snoring and it is one of the most bothersome health problems that doesn't seem to have obvious side effects to people who has it. At least, not yet.
Snoring is often regarded as a harmless condition while the victim sleeps. But, like many others haven't thought about, snoring can lead to a serious health and breathing problem. This is not to say though that once a person starts to snore, serious snoring problem is the direct diagnosis. There are many factors as to how and why a person starts to snore. But there are also many minimal factors that cause snoring to take effect. Usually, when a person is congested along his air passage such as the throat and nose, a snoring sound is produced.
Almost all people experience snoring but this doesn't necessarily mean that they are deemed unhealthy or could have serious sleeping problems right away. But on the average, when a person starts to snore and continues to do it every time he sleeps, there is something wrong with his sleeping habits. But before you panic, determine first if there it is a serious case of snoring problem or not. Ask your partner if sleep disruption at night is often experienced. If this is caused by sleep apnea though, a case of snoring problem which involves breathing interruptions, the person who has this wouldn't remember any sleep disruption during his sleep. But you need to keep an eye on your partner at night for this case.
You can try early remedies and medications to prevent snoring. There are easy methods how to prevent snoring which, so far, is the type of ideal snoring remedy preferred over painful surgery. Keep in mind that if snoring problem persists, it could slowly turn your healthy lifestyle around. See a medical specialist about the most convenient and definite way to cure snoring to help the person you love.
About the Author
Click Stop Snoring to find out more about informative snoring remedies.
Thursday, August 31, 2006
Monday, August 28, 2006
3 Simple Steps To A More Restful Sleep Tonight
"Picture this: It's 5:27 PM. You're hungry after a busy day at work, itching to get home to see your family, and now you're stuck in traffic. Frustration sets in. But you're used to it since this is an every day occurrence.
So you finally stroll into your house at 6:04 PM, your 2 young children are clamoring for your attention, and they're hungry too. You pop some frozen dinners in the microwave knowing full well they're not healthy, but also knowing that you just don't have time to think, much less cook. After a quick dinner consisting of Salisbury Steak you're day's not even close to over.
Now it's time to do laundry, read with the kids, and of course a day's work left over from the office. When do you have time to rest? At night you keep telling yourself.
But every night it's the same old story. You flop into bed past 1 AM and close your eyes. Your mind is still racing from the day that just passed and the busy day ahead. So you toss and turn, hoping that you'll be able to get at least a little shut-eye before your 6:00 AM wake up call (an annoyingly loud alarm clock you've had for 15 years).
And the next day it starts all over again. You're tired at work, you don't have time to eat, you're stressed, and you can't get out of the vicious cycle.
So what do you do?
First thing's first: take a deep breath. You're probably stressed out just reading this far.
To get a more restful sleep tonight do the following:
1) Get a notebook and take 5 minutes right before laying down to free write. What you want to do is get every thought from the past, present, and future out of your head and on paper where it's "
So you finally stroll into your house at 6:04 PM, your 2 young children are clamoring for your attention, and they're hungry too. You pop some frozen dinners in the microwave knowing full well they're not healthy, but also knowing that you just don't have time to think, much less cook. After a quick dinner consisting of Salisbury Steak you're day's not even close to over.
Now it's time to do laundry, read with the kids, and of course a day's work left over from the office. When do you have time to rest? At night you keep telling yourself.
But every night it's the same old story. You flop into bed past 1 AM and close your eyes. Your mind is still racing from the day that just passed and the busy day ahead. So you toss and turn, hoping that you'll be able to get at least a little shut-eye before your 6:00 AM wake up call (an annoyingly loud alarm clock you've had for 15 years).
And the next day it starts all over again. You're tired at work, you don't have time to eat, you're stressed, and you can't get out of the vicious cycle.
So what do you do?
First thing's first: take a deep breath. You're probably stressed out just reading this far.
To get a more restful sleep tonight do the following:
1) Get a notebook and take 5 minutes right before laying down to free write. What you want to do is get every thought from the past, present, and future out of your head and on paper where it's "
Saturday, August 26, 2006
3 Little Known Tips for Helping with Sleep Apnea Research
This may come as a surprise to you, but sleep apnea is more common than you think. Yes, while it might seem like you are the only one who suffers from sleep apnea, we'd be willing to be that at least a few of your close neighbors suffer from it to. Well, the information age now allows you to listen to thousands of different opinions and possible cures for whatever ails you. Sleep apnea is no different. Follow these three tips and you should be all set in your quest for more information.
1)Start with a basic search on multiple websites. Try the regulars like Yahoo, Google, and MSN. Try searching for 'sleep apnea symptoms' or 'sleep apnea treatment.' Getting multiple sources of information can only make your information quest easier. Some search engines are better for some types of information (Google seems to be especially handy for scientific searches) while others are not. Get a lot of different information sources.
2)Another great source of information for everything is wikipedia.org. While we definitely don't recommend trying to treat your sleep apnea yourself based upon the information you find (always see a physician, we aren't physicians and can't give a medical opinion), wikipedia.org is a good place to start looking for any information as it is "user edited". "User edited" means that anyone can conceivably change the information on wikipedia.org. It's almost like a democracy of information presentation. It's definitely worth a look in your sleep apnea research.
3) Don't forget to look for information specifically on understanding sleep apnea. If you can't understand what sleep apnea is, you are going to have a tough time even if you follow tips #1 and #2 to the letter. Get informed and try to understand what sleep apnea is. There are a ton of great resources out there if you look hard enough.
About the author:
Roger Wembley is author of "Understanding Sleep Apnea." Grab your copy at http://www.itssleepapnea.com.
Written by: Roger Wembley
1)Start with a basic search on multiple websites. Try the regulars like Yahoo, Google, and MSN. Try searching for 'sleep apnea symptoms' or 'sleep apnea treatment.' Getting multiple sources of information can only make your information quest easier. Some search engines are better for some types of information (Google seems to be especially handy for scientific searches) while others are not. Get a lot of different information sources.
2)Another great source of information for everything is wikipedia.org. While we definitely don't recommend trying to treat your sleep apnea yourself based upon the information you find (always see a physician, we aren't physicians and can't give a medical opinion), wikipedia.org is a good place to start looking for any information as it is "user edited". "User edited" means that anyone can conceivably change the information on wikipedia.org. It's almost like a democracy of information presentation. It's definitely worth a look in your sleep apnea research.
3) Don't forget to look for information specifically on understanding sleep apnea. If you can't understand what sleep apnea is, you are going to have a tough time even if you follow tips #1 and #2 to the letter. Get informed and try to understand what sleep apnea is. There are a ton of great resources out there if you look hard enough.
About the author:
Roger Wembley is author of "Understanding Sleep Apnea." Grab your copy at http://www.itssleepapnea.com.
Written by: Roger Wembley
Friday, November 04, 2005
Sleep apnea - Snoring Relief Labs
Snoring Relief Labs
Developers and manufacturers of SnorBan. Information on becoming a distributor is on the site.
Centre for Snoring and Sleep Disorders
Information site for patients and medical professionals dealing with snoring and sleep related conditions. The Centre for Snoring and Sleep Disorders,
Wednesday, November 02, 2005
Sleep apnea - Here's a tip to keep you awake: insomnia is a symptom, not a
Here's a tip to keep you awake: insomnia is a symptom, not a
Australian, Australia -
Fresh from the pipeline: Ramelteon
Nature.com (subscription), UK -
Natural approach to insomnia might help you rest easy
Fort Wayne News Sentinel, IN -
Tuesday, November 01, 2005
Sleep apnea - Centre for Snoring and Sleep Disorders
Centre for Snoring and Sleep Disorders
Information site for patients and medical professionals dealing with snoring and sleep related conditions. The Centre for Snoring and Sleep Disorders,
Snoring Relief Labs
Developers and manufacturers of SnorBan. Information on becoming a distributor is on the site.
Sunday, October 30, 2005
Sleep apnea - Snoring - Practical Tips On How To Stop Snoring
Snoring - Practical Tips On How To Stop Snoring
Tips on sleep apnea, snoring and how to stop snoring plus a one-stop shop with natural remedies, pillows and effective anti-snoring aids.
Snoring
Are you a kid who snores? Find out why some people are such noisy sleepers in this article for kids.
Centre for Snoring and Sleep Disorders
Information site for patients and medical professionals dealing with snoring and sleep related conditions. The Centre for Snoring and Sleep Disorders,
Snoring
There is snoring that is an indicator of obstructive sleep apnea and there Primary Snoring, also known as simple snoring, snoring without sleep apnea,
Snoring
41.5% of the UK population snore (British Snoring and Sleep Apnoea Snoring may be a sign of disturbed sleep, meaning you are less alert during the day.
Friday, October 28, 2005
Insomnia - Dr. Mom's intuition
Dr. Mom's intuition
Arizona Republic, AZ -
From The Editor's Desk
Marco Island Sun-Times, FL -
Snorers Urged: 'Take Killer Snoring' Test
PR Newswire UK (press release), UK -
Doctors Adopt .PRO Internet Domain for Branding and Search Engine
Newswire Today (press release), UK -
Thursday, October 27, 2005
Snoring - Sleep Apnea
Sleep Apnea
The most common kind of sleep apnea is called Obstructive Sleep Apnea Syndrome. The risks of undiagnosed obstructive sleep apnea include heart attacks,
CPAP Devices for Sleep Apnea -- familydoctor.org
Information about CPAP devices for sleep apnea from the American Academy of Family Physicians.
SleepQuest - Sleep Apnea
SleepQuest specializes in treating obstructive sleep apnea and other sleep disorders by providing innovative diagnostic and treatment services in the
Sleep Apnoea FAQ / Sleep Apnea FAQ
Of these three, obstructive sleep apnea (OSA) is the most common; Central Sleep Apnea is defined as a neurological condition causing cessation of all
Treatment of Obstructive Sleep Apnea in Primary Care - February 1
Obstructive sleep apnea should be suspected in patients who are overweight, Patients with obstructive sleep apnea often are overweight, snore loudly,
Wednesday, October 26, 2005
Snoring - Snoring Remedies and Cures
Snoring Remedies and Cures
We list hundreds of snoring cures and remedies. Take our interactive questionnaire to help determine which snoring remedy is most likely to work for you.
Amazon.com: Snoring and Sleep Apnea: Sleep Well, Feel Better: Books
Amazon.com: Snoring and Sleep Apnea: Sleep Well, Feel Better: Books by Ralph A. Pascualy,Sally Warren Soest.
Snoring - causes, treatments, how to stop and sleep apnoea
Concise factsheet explaining the causes, symptoms and treatment of Snoring and Sleep Apnoea, available for downloading in Adobe Acrobat format.
Snoring
41.5% of the UK population snore (British Snoring and Sleep Apnoea Snoring may be a sign of disturbed sleep, meaning you are less alert during the day.
Snoring - MayoClinic.com
Snoring can be a nighttime annoyance that may indicate a more serious health condition. It can also disrupt your life and relationships.
Monday, October 24, 2005
Snoring - Library controversy
Library controversy
KCEN-TV, TX -
Could I be blinded by looking at a computer screen?
The Herald, UK -
Fans get their fill of Gill at stellar Orpheum show
Boston Herald, United States -
New help to stop snoring
Hendon & Finchley Times, UK -
Sunday, October 23, 2005
Snoring - Sleep Apnea -- familydoctor.org
Sleep Apnea -- familydoctor.org
Information about sleep apnea from the American Academy of Family Physicians.
Childhood Sleep Apnea
How does the doctor determine if my child has Obstructive Sleep Apnea? | How is Sleep Apnea treated? |Articles on Childhood Apnea | Surgery for Children
Obstructive Sleep Apnea, Snore, Hypopnea
A layman's guide to sleep apnea with graphics of condition and treatment. Information with product for sale.
Sleep Apnea
The most common kind of sleep apnea is called Obstructive Sleep Apnea Syndrome. The risks of undiagnosed obstructive sleep apnea include heart attacks,
Saturday, October 22, 2005
Sleep apnea - Amazon.com: Insomnia (Widescreen Edition) (2002): DVD
Amazon.com: Insomnia (Widescreen Edition) (2002): DVD
Insomnia (Widescreen Edition), Christopher Nolan, Al Pacino, Robin Williams, Martin Donovan (II), Oliver 'Ole' Zemen, Hilary Swank, Paul Dooley, Nicky Katt,
Insomnia - The Journal of Mark Kraft
Insomnia - The Journal of Mark Kraft ???? · ?? · Dansk · Nederlands · Fran ais · Deutsch · ???????? · Italiano
NHLBI, Facts About Insomnia
Offer facts about insomnia, a four-page brochure that discusses insomnia and how it is treated.
Friday, October 21, 2005
Insomnia - Get rid of your creepy roommate the immature way
Get rid of your creepy roommate the immature way
Bulletin (subscription), WA -
New help to stop snoring
Hendon & Finchley Times, UK -
Hockey s aim: More scoring, less snoring
The State, SC -
Police Beat
Coastal View News, CA -
e-snoring.com Reviews Various Recommended Snoring Cures
Pressbox.co.uk (press release), UK -
Thursday, October 20, 2005
Insomnia - Stanford fire chief dealing with sleep apnea
Stanford fire chief dealing with sleep apnea
Danville Advocate, KY -
Train firms lack uniform breaks, health tests
Daily Yomiuri Online, Japan -
Sleeping pill use by the young soars
St. Petersburg Times, FL -
Sleep Apnea and Depression Share Symptoms
Diabetes Self Management -
Hospital aims ads to attract patients
Stanford Daily -
Wednesday, October 19, 2005
Sleep apnea - Machine aids patients with sleep apnea
Machine aids patients with sleep apnea
Salt Lake Tribune, United States -
Easier Treatment for Sleep Apnea
WFtv.com, FL -
Researchers Examine Effectiveness of New Home Test for Sleep Apnea
Newswise (press release) -
Sleep Apnea Treatment - What's Covered by Insurers?
PR Newswire (press release), NY -
Implant Treats Obstructive Sleep Apnea
Ivanhoe -
Tuesday, October 18, 2005
Sleep apnea - 35 million Americans suffer from insomnia
35 million Americans suffer from insomnia
Salt Lake Tribune, United States -
What insomnia is telling you
Times Online, UK -
Americans Using And Spending More On Sleep Aids
All Headline News -
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