Benchmark 1 Review

Is a repeating decimal a rational number? Explain.

• No, because you cannot write repeating decimals as fractions.

• Yes, because you can write repeating decimals as fractions.

Which fraction is equivalent to:

• $\frac{23}{100}$

• $\frac{23}{99}$

• $\frac{21}{90}$

Is

 $\sqrt{13}$ greater than, less than, or equal to 6? 

• Greater than

• Less than 

• Equal to

Solve the equation:

 $x^2=12$  

•  $x=144$  

•  $x\ \ =\ \pm\sqrt{12}$  

•  $x=12$  

•  $x=\sqrt{12}$  

Choose the mixed number for the decimal:

• $2\ \frac{3}{10}$

• $2\ \frac{3}{9}$

• $2\ \frac{3}{99}$

Which numbers are irrational?

(Select all that apply.)

•  $\sqrt{144}$  

•  $\sqrt{63}$  

•  $\sqrt{256}$  

•  $\sqrt{75}$  

Is the decimal form of 16/3 a rational​ number? Explain how you can give the answer to this question without identifying the decimal form for the fraction.

• Yes, because it is already written as a fraction.

• No, because repeating decimals are not rational.

 
The height of a painting is

 $\sqrt{85}$  ft. Between which two consecutive whole numbers is  $\sqrt{85}$  ?

• 8 and 9

• 9 and 10

• 64 and 81

• 81 and 100

Order the numbers above from least to greatest.

• $4.6,\ \sqrt{17},\ \pi,\ 2.8888...,\ \sqrt{7}$

• $2.8888...,\ \pi,\ 4.6,\ \sqrt{7},\ \sqrt{17}$

• $\sqrt{7},\ 2.8888...,\ \pi,\ \sqrt{17},\ 4.6$

Relate the area of the square to the length of each side.

• Side = 4 in.

• Side = 8 in.

• Side = 16 in.

• Side = 32 in.