Number Properties (Lesson 3 HW)

Front

Commutative Property

Back

The order of numbers can be changed without affecting the sum or product. Example: a + b = b + a or a × b = b × a.

Front

Associative Property

Back

The way numbers are grouped does not change their sum or product. Example: (a + b) + c = a + (b + c) or (a × b) × c = a × (b × c).

Front

Zero Property

Back

Any number multiplied by zero equals zero. Example: 3 × 0 = 0.

Front

Identity Property of Addition

Back

Adding zero to a number does not change the number. Example: a + 0 = a.

Front

Identity Property of Multiplication

Back

Multiplying a number by one does not change the number. Example: a × 1 = a.

Front

Distributive Property

Back

Multiplying a number by a sum is the same as multiplying each addend by the number and then adding the products. Example: a(b + c) = ab + ac.

Front

Inverse Property of Addition

Back

The sum of a number and its opposite (negative) is zero. Example: a + (-a) = 0.

Front

Inverse Property of Multiplication

Back

The product of a number and its reciprocal (1/a) is one. Example: a × (1/a) = 1.

Front

Even Numbers

Back

Numbers that can be divided by 2 without a remainder. Example: 2, 4, 6.

Front

Odd Numbers

Back

Numbers that cannot be divided by 2 evenly. Example: 1, 3, 5.