Ch. 1.5 | Multiplying Rational Numbers

Question 1

Associative Property of Multiplication

Answer 1

a(bc) = (ab)c

If you group numbers differently when multiplying, the product is the same.
2( 5 ∙3 ) = ( 2 ∙ 5 )3

Question 2

Commutative Property of Multiplication

Answer 2

ab = ba

If you multiply two numbers in different orders, the product is the same.
3 ∙ 5 = 5 ∙ 3

Question 3

Distributive Property

Answer 3

a(b + c) = ab + ac

The product of a number and a sum is equal to the sum of the products of the number and each addend.
3( 6 + 7 ) = ( 3 ∙ 6 ) + ( 3 ∙ 7 )

Question 4

Factor

Answer 4

Any number that is being multiplied in a problem

Question 5

Multiplicative Identity Property

Answer 5

a ∙ 1 = 1 ∙ a = a

The product of any number and one is that number.
5 ∙ 1 = 1 ∙ 5 = 5

Question 6

Product

Answer 6

The answer to a multiplication problem.

Question 7

Unit Multiplier

Answer 7

A fraction with two different expressions for the same quantity in the numerator and the denominator.

Question 8

Zero Property of Multiplication

Answer 8

a ∙ 0 = 0

The product of any number and zero is zero.
4 ∙ 0 = 0