Fundamentals of Math

Fundamentals of Mathematics

Practice 1.2.1 Directions: Identify the following numbers as natural, whole, integer, rational, irrational, or real - place a checkmark in each category that could be used to describe the number.

Natural

Whole

Integer

Rational Irrational

Real

1.

−8

2.

≈ 3.14 …

3.

5

4.

0

1 2

5.

Answer Key on Page 116

Let's take a look at some of the properties of Real numbers. These properties will prove useful when working with equations, functions, and Algebraic formulas.

*In the following definitions and examples, , , and are defined as Real numbers.

Commutative Property of ...

The commutative property states that when we add or multiply two real numbers, their order does not matter.

Addition

Multiplication

+ = +

× = ×

or

or

1 + 2 = 2 + 1

1 × 2 = 2 × 1

Associative Property of ...

The associative property states that while adding or multiplying more than two real numbers, then the effect of parentheses does not matter.

Addition

Multiplication

( + ) + = + ( + )

( × ) × = × ( × )

or

or

(1 + 2) + 3 = 1 + (2 + 3)

(1 × 2) × 3 = 1 × (2 × 3)

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