Games With Numbers
Chapter Name : Playing With Numbers |
Sub Topic Code : 104_08_16_03_01 |
Topic Name : Games With Numbers |
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Sub Topic Name : Games With Numbers |
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Introduction
Addition of a number and its reverse are divisible by 11.
Pre-Requisites:
General form of numbers.
Activity:
abcd being a 4 digit number, abcd+bcda+cdab+dabc is divisible by 1111
Real Life Question:
Ramya puzzled her father. She asked him to take a number and its reverse, add both of them.The result was divisible by 11. Find out how?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| ab in general form abc in general form | 10a+b 100a+10b+c |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| General form tricks | Try few more tricks with the help of general form of numbers. |
Real life uses :
Trick your friends, parents using games with numbers.
Practical examples around us
| Examples | Explainations |
|---|---|
| A 4 digit number of the form abcd. Then abcd+bcda+cdab+dabc is divisible by 1111 | Writing in general form (1000a+100b+10c+d)+(1000b+100c+10d+a) +(1000c+100a+10a+b) +(1000d+100a+10b+c) =1111(a+b+c+d) |
What you learn in Theory:
Divisibility of sum and difference of a number and its reverse.
What you learn in Practice:
Tricks with numbers using general form.