Real Number System

​Natural (Counting) Numbers

Natural numbers are also called counting numbers ​because they do not include 0, or negatives. Natural numbers can be counted to infinity and are REAL Numbers.

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Example : 1,2,3,24,5,6,7,8,9,10,11,12....

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Multiple Choice

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

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

Multiple Choice

The set of counting numbers which is also a subset of real number

= {1, 2, 3, 4, …}

• Rational Number

• Natural Number

• Integer

Whole Numbers

Whole Numbers are a set of natural numbers that start with 0. ​They are apart of the REAL Number set and can be counted into infinity.

​

Examples : 0,1,2,3,4,​5,6,7,8,9,10,11,12....

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Multiple Choice

The set of natural numbers plus a “0”

W = {0, 1, 2, 3,…}

• Natural Numbers

• Integers

• Irrational Numbers

• Whole Numbers

Multiple Choice

True or False: Zero is a counting number.

• True

• False

​Integers

Integers are counting numbers , whole number and negative numbers.

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• Positive Integer : An integer is positive if it is greater than 0. Ex: 1,2,3...

• Negative Integer : ​An integer is negative if it is less than 0. Ex: -1,-2,-3 ...

• Zero : This number is neither negative nor positive. It is a whole number.

  Ex: -1,-2,-3,-4 0 , 1, 2 ,3,4

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Multiple Choice

The set of natural numbers, their negatives and 0

= {-3, -2, -1, 0, 1, 2, 3,…}

• Whole Numbers

• Integers

• Natural Numbers

Multiple Choice

True or False: Some of the integers are natural numbers.

• True

• False

Rational Numbers

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Multiple Choice

What type of number is $$3.\overline{5}$$  ?

• Integer

• Rational Number

• Irrational Number

• Natural Number

Multiple Choice

True or false: ALL fractions are Rational

• true

• false

Irrational Numbers

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Multiple Choice

Classify the following:
0.04769165821735......

• Irrational
• Rational

Multiple Choice

Which of the following real number categories best matches $$\pi$$     ?

• Rational

• Irrational

• Whole

• Integer

Real Number-ella System

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