Games with Numbers
(i) Reversing the digits: two digit number
Conversation between Nikil and Nisha:
If we add the two numbers we get
The sum is always a multiple of 11. If we divide the sum by 11, the quotient is which is exactly the sum of the digits of chosen number
Conversation between Tweety and Sylvester:
In general, 2 digit number ,reversing digits we get
If ones digit is larger than tens digit,
Resulting number is divisible by 9. So, the remainder is 0.
Reversing the digits - three digit number.
Nisha: Think of 3 digit number.
Nisha: Use this number to form two more 3-digit numbers.
If you choose the number as
- The next number is (ones place goes to 100's place)
- The other number is bca. (10's place goes to 100's place)
Add them and divide it by 37, there is no remainder.
Rekha: Yes, you are right.
with no remainder.