Real Number System

integer

-13

Rational

-2.6

Integers

...-4, -3, -2, -1, 0, 1, 2, 3, 4... All positive and negative numbers, plus the zero BUT NO FRACTIONS OR DECIMALS!

whole

0

Whole numbers

0, 1, 2, 3, 4, 5,... Remember "whole" has what looks like a "zero" in the middle of the word.

Natural numbers

1, 2, 3, 4, 5,.... Sometimes called "counting numbers" (Think of your fingers)

Rational

2/3

Natural

25/5

Rational

3/5

Repeating Decimal

A decimal in which a pattern of one or more digits is repeated indefinitely

Terminating Decimal

A decimal that ends

Irrational numbers

Any number that CAN NOT be written as a fraction (non-terminating, non-repeating decimal numbers).

Ratonal numbers

Any number that can be written as a fraction (a/b) where b is not zero. This includes all terminating or repeating decimal numbers.

Natural numbers

Counting numbers

Whole numbers

Counting numbers and zero

True or False: All integers are whole numbers.

False

True or False: The number .262662666266662... is a rational number.

False

True or False: Zero is an irrational number.

False

-46, -30, 167, 3,208

Integers

π, √2, √5,√10

Irrational numbers

Integers

Negitive and positive natural numbers

Irrational numbers

Nonrepeating, nonterminating decimals

Rational Number

Numbers that can be written as a fraction

rational

Numbers that can be written as a fraction. Includes decimals that end or repeat

irrational

Numbers that can't be written as a fraction. Includes decimals that don't end or repeat

whole

Only positive whole numbers and zero

integers

Positive and negative whole numbers and zero

0, 1/2, 52.324, 32, 3¾

Rational numbers

True or False: All rational numbers are real numbers.

True

True or False: All whole numbers are integers.

True

whole numbers

all positive integers (including zero)

integers

all whole numbers (both positive and negative) and zero

-5

integer

-9.876.....

irrational

-√2

irrational

0.8976321...

irrational

2.3987432...

irrational

pi

irrational

|√7|

irrational

√12

irrational

7

natural

1, 39, 42, 608

natural numbers

rational numbers

numbers that can be expressed as a ratio or fraction

irrational numbers

numbers that can not be expressed as a ratio or fraction

1.8

rational

1.888...

rational

12.14

rational

3.4

rational

4.3

rational

7/9

rational

8.6

rational

8/5

rational

|5| - 3

rational

½

rational

¾

rational

0

whole

Irrational

π

Irrational

√17

Irrational

√3