Target 1 Quiz-Repeating Decimals, Fractions, & the Real Number System

Repeating Decimal to Fraction

100

0.55555...

5/9

200

0.4444444...

4/9

300

0.545454...

6/11

400

0.521521521...

521/999

500

0.28484848484...

47/165

Fraction to Repeating Decimal

100

2/3

0.66666...

200

3/11

0.27272727....

300

5/6

0.83......

400

2/11

0.1818...

500

5/12

0.416666...

The Real Number System

100

0, 1, 2, 3, 4, etc. 

whole numbers

200

...-4, -3, -2, -1, 0, 1, 2, 3, 4, ....

Integers

300

1, 2, 3, 4, etc.

natural numbers

400

-3/1, 0.6666..., 2/3, 0.729, -1.6, 1 3/8, perfect squares

Rational

500

pi, NOT perfect square roots

Irrational

Rational or Irrational?

100

0.55555...

Rational-repeated decimal

200

20/6

Rational-fraction

300

square root of 25

Rational-perfect square (5)

400

Square root of 101

Irrational-NOT a perfect square

500

89.396668...

Irrational-nonterminating and nonrepeating