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

Give an example of the distributive property.

Back

For example, 3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

Front

What is the associative property of addition?

Back

The associative property of addition states that (a + b) + c = a + (b + c). It means that the way numbers are grouped does not change their sum.

Front

Provide an example of the associative property of addition.

Back

For example, (2 + 3) + 4 = 2 + (3 + 4) = 9.

Front

What is the commutative property of multiplication?

Back

The commutative property of multiplication states that ab = ba. It means that the order of factors does not change the product.

Front

Give an example of the commutative property of multiplication.

Back

For example, 4 * 5 = 5 * 4 = 20.

Front

What is the associative property of multiplication?

Back

The associative property of multiplication states that (a * b) * c = a * (b * c). It means that the way numbers are grouped does not change their product.

Front

Provide an example of the associative property of multiplication.

Back

For example, (2 * 3) * 4 = 2 * (3 * 4) = 24.

Front

How do you apply the distributive property to simplify 4(3x + 2)?

Back

4(3x + 2) = 4*3x + 4*2 = 12x + 8.

Front

Simplify the expression 3(4 + 5) using the distributive property.

Back

3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.