Show:
Rational/Irrational?
Decimals to Fractions
Fractions to Decimals
Sets of Real Numbers
Rewriting Square Roots
100

Define rational number. 

A real number that can be written as a fraction or ratio a/b, where b can not be zero. 

100

Convert .07 into a fraction.

7/100

100

Convert 2/9 into a decimal. 

.2222222

100

What does a real number consist of?

Real numbers include all rational and irrational numbers. All of the numbers that we use in everyday life are real numbers. 

100

Estimate the following square root to the nearest tenth: √18

 4.2

200

Name two types of decimals that can be rational numbers. Give an example of each. 

1. Terminating Decimal

Possible examples: .69, .53, .01

2. Repeating Decimal

Possible examples: .455555, .888888

200

.93 converted into a fraction is ________.

93/100

200

7/20 converted to a decimal is ________.

.35

200

True or false....”All integers are rational numbers.”

True. 

200

Estimate the following square root to the nearest tenth: √32

 5.6

300

Is the square root of 81 rational or irrational?

 It is a rational number because it is a perfect square.

 √81 is 9 or -9.


300

Write the following decimal as a fraction: 

1.27 (repeating decimal)

1   27/99

300

Write the following fraction as a decimal: 

1  7/8

1.875

300

Write all the names that apply to the following number: -5

Real number, rational number, integer

300

Estimate the following square root to the nearest hundredth: √18

4.24

400

Is the square root 8 rational or irrational?

The  √8 is irrational. 

400

 Convert the following repeating decimal as a fraction in simplest form: x = 0.81

81/99

400

 Convert the following fraction as a decimal in its simplest form: 36/4

9.0

400

Write all the names that apply to the following number:   π (pi)

Real number, irrational number

400

Convert the following into an exact root: √18

√18 = √(9*2) = √9 * √2 = 3√2

500

Explain if Pi is a rational or irrational number and why.

Pi is an irrational number because it is not repeating or terminating decimal. 

500

The simplest form of the terminating decimal .25 is ________. 

25/100 = 1/4

500

The simplest form of the fraction 2 36/100 can be written as decimal  ________.

2.36

500

Write all the names that apply to the following number:   81/9

Real number, rational number, integer, whole number

500

Convert the following into an exact root: √32

√32 = √(2*16) = √2 * √16 = 4√2