Real Numbers

Real Numbers

REAL NUMBER SYSTEM

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Real Numbers Include

• Natural Numbers 1,2,3,.......

• Whole Numbers 0,1,2,3.........

• Integers -3,-2,-1,0,1,2,3,......

• Rational Numbers 1/2, .75, 3, -6 (any number that can be expressed as a fraction)

• Irrational Numbers     $\pi$  ,  $\sqrt{10}$  ,  any number that CANNOT be expressed as a fraction.

Multiple Choice

Rational Numbers are ......

• Any number that can be written as a fraction.

• Positive Integers

• Nonterminating Decimals

• Only whole numbers.

Multiple Choice

Irrational Numbers are ......

• Any number that can be written as a fraction.

• any number that cannot be expressed as a fraction

• terminating decimals

• Only whole numbers.

Set Examples

Natural Numbers 1,2,3,4,5,......
Whole Numbers 0,1,2,3,4,5,......
Integers .....-3,-2,-1,0,1,2,3......
Rational Numbers Examples 1/2,1/3,1, -1, -1/2
Irrational Numbers

 $\sqrt{20}$   $\pi$   $\sqrt{5}$  

Multiple Choice

Rational or Irrational?

 $\sqrt{21}$  

• Rational 

• Irrational

Multiple Choice

Rational or Irrational?

 $\sqrt{40}$  

• Rational 

• Irrational

Multiple Choice

Rational or Irrational?

 $\sqrt{81}$  

• Rational 

• Irrational

Multiple Choice

The set of whole numbers.

• ...1/2,,1,3/2,2,........

• 1,2,3,......

• ...,-3,-2,-1,0,1,2,3,......

• 0,1,2,3,......

Multiple Choice

The set of natural numbers.

• ...1/2,,1,3/2,2,........

• 1,2,3,......

• ...,-3,-2,-1,0,1,2,3,......

• 0,1,2,3,......

Multiple Choice

The set of integers.

• ...1/2,,1,3/2,2,........

• 1,2,3,......

• ...,-3,-2,-1,0,1,2,3,......

• 0,1,2,3,......

 $<$  less than
 $>$  greater than

Multiple Choice

Fill in the blank

 $\sqrt{81}$  ____ 9

• <

• >

• =

•  $\ne$  

Multiple Choice

Fill in the blank

 $\sqrt{20}$  ____ 9

• <

• >

• =

•  $\ne$  

Multiple Choice

Fill in the blank

 $\sqrt{6.25}$  ____ 250%

• <

• >

• =

•  $\ne$  

Multiple Select

What sets does 6 belong to?

• Natural

• Whole

• Integer

• Rational

Multiple Select

What sets does this number belong to?

 $\sqrt{7}$  

• Natural

• Whole

• Integer

• Irrational

• rational

Multiple Select

What sets does this number belong to? 

- $\sqrt{81}$   

• Natural

• Whole

• Integer

• Rational