Real Number System

Ir ra tion a l N u m be rsp i, sq r t 7

N o n in te g er R a tion a l N um be rs-1 4 /5 , 9 /1 0 , 30 ,13

N eg a tiv e In te ge rs-2 0 , -1 3 , -1

Z e ro0

N a tu ra l N u m b e rs o rP os it iv e In te ge rs

1 , 16 , 1 70

W h o le N u m b e rs0 , 2 , 5 6 , 1 98

In te ge rs-1 0 , 0 , 8

R a tio n a l N u m b e rs-3 5 , -7 /8 , 0 , 5 , 27 /11

R e a l N u m b e r S ys tem-1 8 , -1 /2 , 0 , sq r t 2 , p i , 47 /10

The Set of Numbers

• Natural Numbers– The set of natural numbers contains

{1, 2, 3,…}

• Whole Numbers– The set of whole numbers contains

{0, 1, 2, …}

• Integers– The set of integers contains

{…, -3, -2, -1, 0, 1, 2, 3, …}

Set of Real Numbers, cont’d

• Rational Numbers –the set of all numbers that can be expressed as a quotient of integers

• Irrational Numbers – the set of all numbers that correspond to points on the number line but that are not rational numbers. That is, an irrational number is a number that cannot be expressed as a quotient of integers.

• Real Numbers – is the set of all numbers each of which correspond to a point on the number line.

Martin-Gay, K. E. (2001). Beginning Algebra, 3rd ed. Prentice-Hall, Inc., Upper Saddle River, NJ.