# Number Properties Puzzle – Challenge 21

Math challenges are perfect learning activities to help kids learn and have fun too. Let’s see who can solve this one!

## Challenge:

If $$y = 7 × 10^{83}+3$$, what is the remainder when y is divided by 9?

A- 0

B- 1

C- 2

D- 3

E- 4

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The correct answer is B.

Divisibility rules for a divisor of 9:
A number is divisible by 9 if the sum of the digits is divisible by 9. For example 126 is divisible by 9, since, 1 + 2 + 6 = 9 is divisible by 9.
$$7 × 10^{83}+3 = 7, 000,…, 000 + 3 = 7,000 ,…,003$$
The sum of the digits is 10.