Rational and Irrational Numbers

Rational vs. Irrational?

100

Is 4.3333... a rational or irrational number?

rational number.

200

Is 8.123 a rational or irrational number?

 rational number.

300

Is 1/2 a rational or irrational number?

rational number.

400

Explain why 5.671038475... is an irrational number.

It is a nonterminating decimal that does not have a pattern, so it cannot be written as a fraction.

500

Which of the following is an irrational number? 

A. 0.9999... 

B. 3/5 

C. -7

D. 3.928374...

 D.

Fraction to Decimals

100

Write 8/9 as a decimal. Rational or Irrational?

 0.8888... Rational

200

Write 5/6 as a decimal. Rational or Irrational?

 0.8333... Rational

300

Write 7 3/4 as a decimal. Rational or Irrational?

 7.75 Rational

400

Write -4 9/11 as a decimal. Rational or Irrational?

 -4.8181... Rational

500

What is 6/7 as a decimal. Rational or Irrational?

 0.857142... Irrational

Decimals to Fractions

100

Write. 0.134 as a fraction.

 134/1000 or 67/500

200

Write 3.14 as a fraction

 314/100

300

Write 7.8 as a fraction

What is 7 8/10

400

Write 0.65 as a fraction.

 65/100 or 13/20.

500

Write 0.55 as a fraction

 55/100

Square Roots and Perfect Squares

100

What is the square root of 9?

3

200

Estimate the square root of 89 to the nearest tenth.

 9.4

300

Approximate the value of the square root of 13 to the nearest tenth?

 3.6

400

Square root of 36

 6

500

Place the following in order from least to greatest. 0.76 the square root of 2 3/5

 3/5, 0.76, and square root of 2