Associative property of addition and multiplication

Front

What is the associative property of addition?

Back

The associative property of addition states that when three or more numbers are added together, the sum is the same regardless of how the numbers are grouped. For example, (a + b) + c = a + (b + c).

Front

What is the associative property of multiplication?

Back

The associative property of multiplication states that when three or more numbers are multiplied together, the product is the same regardless of how the numbers are grouped. For example, (a × b) × c = a × (b × c).

Front

Rewrite (3 + 4) + 5 using the associative property of addition.

Back

3 + (4 + 5).

Front

Rewrite (2 × 3) × 5 using the associative property of multiplication.

Back

2 × (3 × 5).

Front

If (a × b) × c = a × (b × c), what property is being demonstrated?

Back

The associative property of multiplication.

Front

If (x + y) + z = x + (y + z), what property is being demonstrated?

Back

The associative property of addition.

Front

Provide an example of the associative property of addition with numbers.

Back

For example, (1 + 2) + 3 = 1 + (2 + 3) = 6.

Front

Provide an example of the associative property of multiplication with numbers.

Back

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

Front

What is the result of (5 + 2) + 3 using the associative property?

Back

5 + (2 + 3) = 10.

Front

What is the result of (4 × 2) × 3 using the associative property?

Back

4 × (2 × 3) = 24.