Question

Jeff divided his 1,200 stamps equally among 7 stamp albums. Were there any stamps left over?

If so, how many?


Yes; there was 1 stamp left over.


Yes; there were 3 stamps left over.


Yes; there were 10 stamps left over.


No; there were no stamps left over.

Answer 1

3 stamps were left over

Explanation:

Division

When a number m divides evenly by n the remainder is 0. For example, 120 divides exactly by 30 because 120/30=4 and the remainder is 0.

But 120 does not divide exactly by 50 because 120/50 = 2 and leaves a remainder of 20.

Jeff divided his 1,200 stamps equally among 7 stamp albums. If the division of 1,200 by 7 was exact, there won't be any stamp left over. Let's test it.

1,200/7 is 171.4, obviously is not exact, thus There were stamps left over.

How many?

Multiply the lower integer of division 171 by 7 to get: 171*7 =1,197. This means that 1,200-1,197= 3 stamps were left over