Properties of Real Numbers

Front

What is the Additive Inverse?

Back

The Additive Inverse of a number is the value that, when added to the original number, results in zero. For example, the Additive Inverse of 5 is -5.

Front

What is the Additive Identity?

Back

The Additive Identity is the number 0, which, when added to any number, does not change the value of that number. For example, 7 + 0 = 7.

Front

What is the Commutative Property?

Back

The Commutative Property states that the order of addition or multiplication does not affect the result. For example, a + b = b + a and a × b = b × a.

Front

What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped in addition or multiplication does not change the result. For example, (a + b) + c = a + (b + c).

Front

What is the Multiplicative Identity?

Back

The Multiplicative Identity is the number 1, which, when multiplied by any number, does not change the value of that number. For example, 6 × 1 = 6.

Front

What is the Multiplicative Property of Zero?

Back

The Multiplicative Property of Zero states that any number multiplied by zero equals zero. For example, 9 × 0 = 0.

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.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that the order of factors does not affect the product. For example, 4 × 5 = 5 × 4.

Front

What is the Associative Property of Multiplication?

Back

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

Front

What is an example of the Additive Inverse?

Back

For the number -8, the Additive Inverse is 8, because -8 + 8 = 0.