BJU Pre-algebra Chapter 2 Review

Front

The sum of any two integers is an integer. Example: 5 + 9 = 14; 14 is an integer.

Back

Closure Property

Front

The sum of any integer and zero equals the original integer. Examples: -2 + 0 = -2, 0 + 7 = 7.

Back

Identity Property

Front

The sum of any integer and its additive inverse equals zero, the identity element of addition. Examples: 7 + (-7) = 0, -3 + 3 = 0.

Back

Inverse Property

Front

Changing the grouping of the addends does not change the sum. Example: (2 + 3) + 4 = 2 + (3 + 4).

Back

Associative Property

Front

Changing the order of the addends does not change the sum. Example: 5 + 4 = 4 + 5.

Back

Commutative Property

Front

The product of any number and zero is zero. Example: 7 * 0 = 0.

Back

Zero Property of Multiplication

Front

The product of any number and one is the number itself. Example: 9 * 1 = 9.

Back

Identity Property of Multiplication

Front

The product of a number and a sum is equal to the sum of the products of the number and each addend. Example: a(b + c) = ab + ac.

Back

Distributive Property

Front

The product of any number and its multiplicative inverse (reciprocal) is one. Example: 8 * (1/8) = 1.

Back

Inverse Property of Multiplication

Front

The product of any two integers is an integer. Example: 3 * 4 = 12; 12 is an integer.

Back

Closure Property of Multiplication