This unit is about a number that has some truly exceptional properties. We begin by showing how it just happens to “pop up” when least expected. Begin by having your students, all working independently, select a threedigit number (where the units and hundreds digits are not the same) and follow these instructions:
1. Choose any three-digit number (where the units and hundreds digits are not the same).
We will do it with you here by arbitrarily selecting 825.
2. Reverse the digits of this number you have selected.
We will continue here by reversing the digits of 825 to get 528.
3. Subtract the two numbers (naturally, the larger minus the smaller).
Our calculated difference is 825 ? 528 = 297.
4. Once again, reverse the digits of this difference.
Reversing the digits of 297 we get the number 792.
5. Now, add your last two numbers.
We then add the last two numbers to get 297 + 792 = 1089.
Their result should be the same? as ours even though their starting numbers were different from ours.
They will probably be astonished that regardless of which numbers they selected at the beginning, they got the same result as we did, 1,089.
How does this happen? Is this a “freak property” of this number? Did we do something devious in our calculations?
? If not, then you made a calculation error. Check it.
Unlike other numerical curiosities, which depended on a peculiarity of the decimal system, this illustration of a mathematical oddity depends on the operations. Before we explore (for the more motivated students) why this happens, we want you to be able to impress your students with a further property of this lovely number 1,089.
Taken From :Math Wonders to inspire teacher and student
2 responses so far ↓
1 kk raghuthaman // Dec 15, 2008 at 6:59 pm
Vedic manner is not a problem solving culture.
It sets endless problems in a manner they are related a single solution. Said solutions are hinted by cleverly worded language, which people can naturally remember.
Vedic sutras are basis for Vedic mathematics and these helps people to compote in entire range of numbers(any huge digits). It is a matrix by matrix number application.
Google search Vedic matrix zero which is a public learning site!
2 Describing a detailed daily exercise | Impact Learning // Sep 30, 2009 at 7:11 am
[...] Describing a detailed daily exercise program is beyond the scope of this book, but a few points are worth noting. Both aerobic and anaerobic exercises are good for the heart and brain. Aerobic exercise involves medium-level effort in which the heart rate usually does not rise by more than forty beats per minute. For most people, this translates into a rise from 70 to approximately 110 beats per minute. More severe exertion raises your heart rate even further and takes you into the anaerobic range, when the body can no longer keep up with the intensity of the exercise by utilizing glucose and has to switch to a less efficient, anaerobic, energy-producing system. This is why we cannot keep up anaerobic activity for long, and sprinting full tilt beyond one or two hundred yards or meters is virtually impossible. As you grow older, there is a good chance that you will choose to shift from mixed aerobic-anaerobic (tennis, running) to purely aerobic activity (walking, golf). Long, brisk walks are always a good form of aerobic exercise. [...]
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