Question

Which of the following expressions have a quotient of -2? Check all that apply.

a) -12 = -6
b) -12 ÷ 6 = -2
c) -126
d) -6 - 3
e) 6 - 3
f) -6 - 3

Answer 1

The expression -12 ÷ 6 equals -2 because dividing a negative number by a positive number results in a negative quotient. The correct answer is b) -12 ÷ 6 = -2.

Step-by-step explanation:

The question asks which of the given expressions have a quotient of -2. First, let's understand the concept of a quotient. A quotient is the result you get when you divide one number by another. Now, let's check the given expressions:

• Option b) -12 ÷ 6 = -2 is correct because when -12 is divided by 6, we do get -2. According to the multiplication and division rules for signs, a negative number divided by a positive number results in a negative number.
• Option c) -126 cannot be a quotient without an expression indicating division.
• Option d) -6 - 3 represents a subtraction, not a division, hence it does not give a quotient.
• Option e) 6 - 3 is also a subtraction and not a division.
• Option f) -6 - 3 is subtraction as well and does not indicate division.

Therefore, the only expression with a quotient of -2 is option b) -12 ÷ 6.