Math Review

Repeating Decimals to Fractions

100

Convert 0.3‾ to a fraction and simplify.

x=1/3

200

Convert 0.72‾ to a fraction and simplify.

x=8/11

300

Convert 0.135353535... to a fraction and simplify.

x=67/495

400

Convert 1.6‾ to a fraction and simplify.

x=5/3

500

Convert 2.08‾ to a fraction and simplify.

x=206/99

Square root of nonperfect squares

100

Square root of 19

4.4 

200

Square root of 10

3.2

300

Square root of 32

5.7

400

Square root of 89

9.4

500

Square root of 147

12.1

Cubed root of nonperfect cubes

100

Cubed root of 289

6.6

200

Cubed root of 957

9.9

300

Cubed root of 431

7.6

400

Cubed root of 83

4.4

500

Cubed root of 784

9.3

Rational/Irrational

100

Which of the following are rational

0.171717171717...

0.34

2/87

1.248248248248...

3.49349314935493...

0.171717171717...

0.34

2/87

1.248248248248...

200

Which of the following are irrational?

0.91919191...

12.3

87.23230238239...

pi

4.29129103295...

87.23230238239...

pi

4.29129103295...

300

Is pi rational or irrational? Why?

Irrational because it never stops and it's not repeating.

400

What's the most specific label for the square root of 25?

Natural number

500

What is the most specific label for the square root of 24?

Irrational

Properties of exponents

100

Simplify 7⁴x7⁹

7¹³ 

200

Simplify 8⁵/8²

8³

300

Simplify (3⁴)⁸

3³²

400

Simplify 3⁵x5⁵

(3x5)⁵ or 15⁵

500

Simplify 7³/7⁸

1/7⁵