Question

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

12 divided by (-6)
-15 divided by (-3)
(-7) - (-6) - (-5) - (-4) - (-3) - (-2) - (-1) - 0 - 1 - 2 - 3 - 4 - 5 - 6 - 7

Answer 1

The points on the number line representing the quotients of the expressions 12 divided by (-6) and -15 divided by (-3) are -2 and 5, respectively. Quotients are found by dividing, and sign rules for division are applied.

Step-by-step explanation:

The question asks which points on the number line represent the quotients of specific expressions. To find the quotients, we need to perform division operations and locate the results on the number line.

• The expression 12 divided by (-6) gives a quotient of -2, because when a positive number is divided by a negative number, the result is negative. So, 12/(-6) = -2.
• The expression -15 divided by (-3) gives a quotient of 5, because when two negative numbers are divided, the result is positive. Hence, -15/(-3) = 5.

Therefore, the points -2 and 5 on the number line represent the quotients of the given expressions respectively.