math
posted by Jennifer on .
When m is divided by 7, the remainder is 2. What is the remainder when 4m is divided by 7?
Please give me an explanation and not just the answer! Thankss:)

When 4m is divided by 7, you would have 4*2=8 left over, BUT since you are dividing by 7, seven goes into 4m an extra time, leaving 1 left over as the remainder.
Example:
Suppose m = 16
then m/7 = 2 2/7
(That is 2 with 2 left over)
4m = 64 4m/7 = 9 1/7
(That is 9 with 1 left over) 
m/7=2 > m=14
4m/7=x > 4*14/7=8