Exercise 4 Page 237

We want to multiply the given expression. First, we will rewrite it. (-5)^3=(-5)(-5)(-5) When multiplying real numbers, the product will be positive if the signs are the same and it will be negative if the signs are different. cc Same Sign & Different Signs (+)(+)=(+) & (+)(-)=(-) (-)(-)=(+) & (-)(+)=(-) We will use the Associative Property of Multiplication to multiply the first two numbers first. There are two negative numbers so the product will be positive.

-5(- 5)

MultNegNegOnePar

- a(- b)=a* b

5* 5

Multiply

Multiply

25

Now we will multiply the remaining two numbers. The result of the first multiplication was positive and the third number is negative, so the final product will be negative.

25(- 5)

MultPosNeg

a(- b)=- a * b

-25*5

Multiply

Multiply

-125

We can verify this using a calculator.