Question

Write a multiplication sentence that proves the division -30/5 = -6 is correct.

a. (-6) x 5 = -30
b. (-30) x 5 = -6
c. (-30) / (-6) = 5
d. (-6) / 5 = -30

Answer 1

The correct multiplication sentence to prove the division -30/5 = -6 is (-6) × 5 = -30, demonstrating the inverse relationship between multiplication and division.

Step-by-step explanation:

The student asked to write a multiplication sentence that proves the division -30/5 = -6 is correct. To find the correct multiplication sentence, one can use the fact that multiplication is the inverse operation of division. In other words, if a/b = c, then c × b = a. This is similar to the process where multiplying by a number's reciprocal will result in 1. Taking the given division sentence -30/5 = -6, we apply the inverse operation. Therefore, the correct multiplication sentence that proves the division is:

(-6) × 5 = -30

This is because when a negative number is multiplied by a positive number, as per multiplication rule, the result is negative, which matches the initial value we divided. Hence, option a is the correct sentence.