commutative and associative properties

Front

What is the Commutative Property of Addition?

Back

The Commutative Property of Addition states that changing the order of the addends does not change the sum. For example, 3 + 5 = 5 + 3.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of the factors does not change the product. For example, 4 × 6 = 6 × 4.

Front

What is the Associative Property of Addition?

Back

The Associative Property of Addition states that the way in which numbers are grouped does not change the sum. For example, (2 + 3) + 4 = 2 + (3 + 4).

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped does not change the product. For example, (2 × 3) × 4 = 2 × (3 × 4).

Front

Example of Commutative Property of Addition: 8 + 12 = ?

Back

12 + 8 = 20.

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Example of Commutative Property of Multiplication: 7 × 9 = ?

Back

9 × 7 = 63.

Front

What does 'Change Order' refer to in mathematics?

Back

'Change Order' refers to the Commutative Property, which allows the order of numbers to be changed without affecting the result.

Front

What property is demonstrated by (A + B) + C = A + (B + C)?

Back

This demonstrates the Associative Property of Addition.

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What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that adding zero to any number does not change the number. For example, 5 + 0 = 5.