Exercise 29 Page 239

Substitute -6 for a, -4 for b and 3 for c in the expression. 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.

648

Practice makes perfect

To evaluate the given expression for b = -4 and c = 3, first, we should substitute these values into the expression.

abc^3

SubstituteValues

Substitute values

-6( -4)( 3)^3

SplitIntoFactors

Split into factors

-6(-4)(3)(3)(3)

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.

-6(- 4)

MultNegNegOnePar

- a(- b)=a* b

6* 4

IdPropMult

Identity Property of Multiplication

Now, we can multiply the remaining numbers. The result of the first multiplication was positive and all of the remaining numbers are positive, so the final product will be positive.

24(3)(3)(3)

Multiply

72(3)(3)

Multiply

216(3)

Multiply

648

Hints

Check the answer

Practice exercises

Asses your skill