Real Numbers, Exponents, & Scientific Notation

Which is true about the decimal form of an irrational number?

• The decimal terminates.

• The decimal both repeats and terminates.

• The decimal repeats.

• The decimal does not repeat nor terminate.

Mrs. Nelson collects figurines that each weigh  $2^{-2}$   pounds. She has   $2^7$  figurines in her collection. Which expression does not show the weight of Mrs. Nelson’s collection?

•  $\frac{1}{2^{14}}\ pounds$  

•  $\frac{2^7}{2^2}\ pounds$ 

•  $\left(2\right)^7\left(2\right)^{-2}\ pounds$  

•  $2^5\ pounds$  

Write   $\frac{5}{12}$  as a decimal. Is it repeating, terminating, or neither? 

• 0.41667; terminating

• 0.4 $0.41\overline{6}\ ;\ repeating$  ; repeating

• 0.416713692481…; neither

•  $0.\overline{416}\ ;\ repeating$  

Which diagram does the point represent  $-\pi$ ?

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Between which two numbers on the number line is $\sqrt{18}$  ? 

• between 2 and 3

• between 3 and 4

• between 4 and 5

• between 5 and 6

What is the approximate value of  $\sqrt{12}$ ?

• 2

• 3.5

• 4.5

• 6

Select all numbers that are irrational.

• $\frac{4}{6}$

• $\sqrt{2}$

• $\pi$

• $\frac{5}{11}$

• $\sqrt{5}$

Simon and Travis both have square posters. Simon’s poster has an area of 49 square inches. If Travis’s poster has an area that is 13 square inches less that Simon’s poster, what are the side lengths of Simon and Travis’s posters?

• Simon’s poster: 7 inches; Travis’s poster: 6 inches.

• Simon’s poster: 7 inches; Travis’s poster: 5 inches.

• Simon’s poster: 6 inches; Travis’s poster: 5 inches.

• Simon’s poster: 6 inches; Travis’s poster: 7 inches.

What is  $0.\overline{36}$   written as a fraction? 

•  $\frac{36}{100}$  

•  $\frac{3}{6}$  

•  $\frac{4}{11}$  

•  $\frac{9}{25}$  

 $\frac{\left[\left(3+1\right)^2\right]^3}{\left(7-3\right)^2}$  Simplify the expression 

• 3

• 6

• 12

• 256