Real Numbers Unit Review

Write the repeating decimal  $0.\overline{7}$   as a fraction.

Write the repeating decimal  $0.0\overline{4}$   as a fraction.

Write the repeating decimal  $4.\overline{45}$   as a mixed number.

Write the repeating decimal  $2.191919...$   as a mixed number.

SELECT ALL numbers that are IRRATIONAL.

•  $\sqrt{36}$  

•  $\sqrt{23}$  

•  $-4.232323...$  

•  $0.151551555...$  

•  $0.3\overline{5}$  

Classify  $-0.\overline{25}$  as rational or irrational.

• Rational

• Irrational

Between which two whole numbers does  $\sqrt{89}$  lie?

• 7 and 8

• 8 and 9

• 9 and 10

• 10 and 11

Order the following numbers from LEAST to GREATEST.

 $2.\overline{3},\ \sqrt{8},\ 2.5,\ 2\frac{1}{4}$  

•  $2.\overline{3},\ \sqrt{8},\ 2.5,\ 2\frac{1}{4}$  

•  $2\frac{1}{4},\ 2.\overline{3},\ 2.5,\ \sqrt{8}$  

•  $2.5,\ \sqrt{8},\ 2.\overline{3},\ 2\frac{1}{4}$  

•  $2\frac{1}{4},\ 2.\overline{3},\ \sqrt{8},\ 2.5$  

Classify the number: 27

• perfect square

• perfect cube

• both

• neither

Classify the number: 100

• perfect square

• perfect cube

• both

• neither