# Number Sets, Properties, Order of Operations

## 30 terms

### PEMDAS

Parentheses, Exponents, Mult/Division from left to right, Add/Subt from left to right

### Absolute Value

Distance a number is from 0 on a number line

### Rational Numbers

Numbers that can be expressed as a fraction or a decimal

### Irrational Numbers

Non-repeating, non-terminating decimals. Numbers that cannot be written as a fraction.

### Natural Numbers

Counting Numbers {1, 2, 3, ...}

### Whole Numbers

{0, 1, 2, 3, 4, ...}

### Integers

Positive and negative whole numbers.
{..., -3, -2, -1, 0, 1, 2, 3, ...}

### Commutative Property of Addition or Multiplication

A + B = B + A or with X

### Associative Property of Addition or Multiplication

(A + B) + C = A + (B + C) or X

A + -A = 0

A + 0 = A

A X 1 = A

A (1/A) = 1

A(B+C) = AB + AC

A X 0 = 0

### Closure

When elements in a set can be operated on and the answer is in the set

5

7

### 2 x 3 = 3 X 2

Commutative Property of Multiplication

### (4X2)X3 = 4X(2X3)

Associative Property of Multiplication

Multiply.

14

### Classify: -8

Integer, Rational

Irrational

### Classify: square root of 4

Rational, Natural, Whole, Integer

### Classify: 12

Whole, Natural, Integer, Rational

irrational

2x - 4

2x + 7

3x - 2