Algebraic Properties

Front

What is the Multiplicative Property of Zero?

Back

Any number multiplied by zero equals zero. For example, 5 × 0 = 0.

Front

What is the Transitive Property of Equality?

Back

If a = b and b = c, then a = c.

Front

What is the Multiplicative Inverse?

Back

The multiplicative inverse of a number is what you multiply it by to get 1. For example, the multiplicative inverse of 5 is 1/5.

Front

What is the Associative Property?

Back

The way in which numbers are grouped in addition or multiplication does not change their sum or product. For example, (2 + 3) + 4 = 2 + (3 + 4).

Front

What is the Multiplicative Property of Zero illustrated by?

Back

Any number multiplied by zero equals zero, e.g., 8 × 0 = 0.

Front

What is the Commutative Property?

Back

The order of numbers does not change the sum or product. For example, a + b = b + a.

Front

What is the Additive Identity?

Back

The additive identity is 0, because adding 0 to any number does not change its value. For example, a + 0 = a.

Front

What is the Distributive Property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

What is the Multiplicative Identity?

Back

The multiplicative identity is 1, because multiplying any number by 1 does not change its value. For example, a × 1 = a.

Front

What is the Inverse Property of Addition?

Back

The inverse property of addition states that for every number a, there is a number -a such that a + (-a) = 0.