|
Question 1011844: Dividing a no. By 5 we get 3 as remainder.What will remainder square of this divided by 5.
Answer by mathmate(429)   (Show Source):
You can put this solution on YOUR website!
Question:
Dividing a no. By 5 we get 3 as remainder.What will remainder square of this divided by 5.
Solution:
Let this number be represented by N=5n+3 where n is an integer.
So (5n+3)÷ 5 will have 3 as a remainder, since 5n÷5=n, an integer.
Similarly,
(5n+3)²=25n²+30n+3²=5(5n²+6n)+9
so
(5n+3)²÷5=(5n²+6n)+1 with a remainder of 4
Answer: the remainder of N²÷ 5 is 4
|
|
|
| |
