Question

Which points on the number line represent the quotient of these expressions?

12/-6 quad and quad -15/-3

A. -2 and 5
B. 2 and -5
C. -2 and -5
D. 2 and 5

Answer 1

The points on the number line that represent the quotients 12/-6 and -15/-3 are -2 and 5, respectively, which corresponds to options D. 2 and 5.

Step-by-step explanation:

The quotient of the expressions 12/-6 and -15/-3 can be found by dividing the numbers. For 12 divided by -6, we follow the rule that when a positive number is divided by a negative number, the answer has a negative sign. Therefore, 12/-6 equals -2.

Similarly, for -15 divided by -3, we apply the rule that when two negative numbers divide, the answer has a positive sign. Hence, -15/-3 equals 5.

The points on the number line that represent these quotients are -2 and 5. Therefore, the correct option that matches these points is D. 2 and 5.