Question

Find the modulo class to which the number belongs for the given modulo system. 69, mod 15

A. 2

B. 13

C. 9

D. 12

Answer 1

Find the remainder when you divide 69 into 15

Answer 2

What is 69 divided by 15?

Answer 3

i got 4.6

Answer 4

Alright, so 69 goes into 15 four whole times


This means that 69/15 = 4*15 + r where r is some whole number and it is the remainder

Answer 5

what is the value of r?

Answer 6

I dont understand where r is coming from ?

Answer 7

r is that leftover remainder when the number doesn't fully go into 15

Answer 8

If the number did evenly go into 15, then that remainder would be zero (but it's not)

Answer 9

I got 3.75

Answer 10

????

Answer 11

Imagine 15 as the lenth of a circle, then wrap a rope of length 69 around it. It would wrap around 4 complete times but wouldn't make it around the 5th time. the left over portion would represent the modulo...how much would you have left over?

Answer 12

Think back to elementary school division. If you were dividing 7 by 3, you wouldnt put 2.3333

You would say 2 with a remainder of 1, Since 3 goes into 7 twice, but 2*3 = 6, and it takes one more to get to 7. Here are some more examples:

16/7 = 2 with a remainder of 2, since 2*7 is 14, and it takes 2 more to get to 16

19/8 = 2 with a remainder of 3 since 2*8 = 16, and it takes 3 more to get to 19.

We are asking, what is the remainder when you do 69/15? that will be your answer.