Question

Which expressions have the same solution as -4(6)? Check all that apply.

A) -4(-6)
B) 4-6)
C) -8(2)
D) 12(-2)

Answer 1

The expressions that have the same solution as -4(6) are options A) -4(-6) and D) 12(-2).

Step-by-step explanation:

To find the expressions that have the same solution as -4(6), we need to simplify -4(6) first. When we multiply a positive number by a negative number, the result is always negative. So, -4(6) = -24. Now, let's check the options:

• A) -4(-6): When we multiply a negative number by a negative number, the result is positive. So, -4(-6) = 24. Therefore, option A is not the same as -4(6).
• B) 4-6: This is an addition expression, not a multiplication. So, it is not equivalent to -4(6).
• C) -8(2): When we multiply a negative number by a positive number, the result is always negative. So, -8(2) = -16, which is not the same as -4(6).
• D) 12(-2): When we multiply a positive number by a negative number, the result is always negative. So, 12(-2) = -24. Therefore, option D has the same solution as -4(6).

Therefore, the expressions that have the same solution as -4(6) are options A) -4(-6) and D) 12(-2).