Question

Mrs. Smith needed to split 28 students into 4 equal groups for the race. Which step could help her to work 30 divided by 3?

(A) (27 divided by 9) + (9 divided by 3)
(B) (24 divided by 4) + (4 divided by 4)
(C) (21 divided by 3) + (9 divided by 3)
(D) (20 divided by 4) + (10 divided by 4)

Answer 1

Procedure in option C only works.

Explanation:

We have to select the process in which Mrs. Smith can help her to work 30 divided by 3.

(A) (27 divided by 9) + (9 divided by 3) = 3 + 3 = 6

But (30 ÷ 3) = 10 ≠ 6

(B) (24 divided by 4) + (4 divided by 4) = 6 + 1 = 7 ≠ 10

(C) (21 divided by 3) + (9 divided by 3) = 7 + 3 = 10

(D) (20 divided by 4) + (10 divided by 4) = 5 + 2.5 = 7.5 ≠ 10

So, procedure in option C only works. (Answer)

Again, we can prove the procedure in the following way:

`(30)/(3) = (21 + 9)/(3) = (21)/(3) + (9)/(3)`

{Which is the distributive property of division}