The Real Number System - Review

The Real Number System - Review

by Sharon Hundley

​Natural Numbers

​Natural Numbers are counting numbers.

​

​Examples: 1, 2, 4, 29, 67

Multiple Choice

What are your counting numbers (1,2,3..)?

• Rational Numbers
• Whole Numbers
• Natural Numbers
• Irrational Numbers

Multiple Choice

Natural numbers are:

• 1.5, 2, 2.5, 3, . . .

• 0,1,2,3,4,5...

• 1, 2, 3, 4, . . .

• . . . , -2, -1, 0, 1, 2, . . .

​Whole Numbers

​Natural Numbers and 0

​

​Examples: 0, 2, 7

Multiple Choice

Classify the number: 0

• natural, whole, integer, rational, real

• integer, irrational, real

• irrational, real

• whole, integer, rational, real

Multiple Choice

An example of a whole number is:

• 4/9
• -9
• 5.2
• 17

​Integers

​Integers are positive and negative numbers and zero

​

​Examples: 0, -4, 7

Multiple Choice

An example of an integer is...

• 9.1
• 8/9
• -9
• -2.3

Multiple Choice

All whole numbers are integers.

• False
• True

Multiple Choice

Classify the Number: 120

• Counting, whole, integers rational, real
• Irrational, real
• whole
• Whole, counting

​Rational Numbers

​Rational Numbers are terminating decimals, repeating decimals, and fractions.

​Examples: 1/2, 0.7, 0.33333.....

Multiple Choice

A repeating decimal or decimal that terminates is called a 

• Natural Number
• Irrational Number
• Rational Number
• Whole Number

Multiple Choice

How would 5/9 be classified?

• rational and real
• whole and integer
• only real
• only irrational

Multiple Choice

Is √2 Irrational?

• Yes
• No

​Irrational Numbers

​Irrational Numbers are decimals that go on and on for ever without repeating.

Multiple Choice

What is an example of an irrational number?

• -2/3
• .75575557654..
• 23
• 0

Multiple Choice

A number can be rational and irrational.

• True
• False

Multiple Choice

Classify the number: -23

• natural, whole, integer, rational, real

• integer, rational, real

• integer, irrational, real

• whole, integer, rational, real

Multiple Choice

-14 could be classified as all of these EXCEPT?

• Integer

• Real

• Rational

• Whole