Math Properties

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Front

Fill in the blank: 9 (5 - 3a) = (9 • ____) - (9 • 3a)

Back

5

Front

Identify the property used: 4(x + y) = 4x + 4y

Back

Distributive Property

Front

Are these two expressions equivalent? 2 • (3 • 7) and (2 • 3) • 7

Back

Yes, because of the associative property.

Front

Fill in the blank: 6 • (y • b) = (6 • ____) • b

Back

y

Front

Which property states that you can add or multiply numbers in any order?

Back

Commutative Property.

Front

What is the Commutative Property?

Back

The Commutative Property states that the order in which two numbers are added or multiplied does not change the sum or product. For example, a + b = b + a and ab = ba.

Front

What is the Associative Property?

Back

The Associative Property states that the way in which numbers are grouped when adding or multiplying does not change the sum or product. For example, (a + b) + c = a + (b + c) and (ab)c = a(bc).

Front

Fill in the blank: 3 + (4 + 5) = (3 + 4) + __

Back

5

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that any number plus zero equals the number itself. For example, a + 0 = a.