Rational Numbers

Which of the following could represent a diver’s position in relation to the surface of the water after diving into a pool? Select all that apply.

• 3 meters

• -2 meters

• -3.1 meters

• 1 7/8 meters

• -2 1/2 meters

Find the decimal equivalent to  $\frac{4}{15}$  

• .26

• $.2\overline{6}$

• $\overline{2.6}$

• $\overline{0.26}$

Marco states that 7.696696669…… is a rational number because it is a repeating decimal. Is he correct?

• Yes

• No

Marco states that 7.696696669…… is a rational number because it is a repeating decimal. Is he correct? Justify your previous answer. (in complete sentences)

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A diver swims 5.875 feet up to the surface of the water. Which number represents the diver’s position in relation to the surface before swimming to the top?

• -5.9 feet

• $-5\ \frac{3}{4}$ feet

• -58 feet

• $-5\ \frac{7}{8}$ feet

An architect is building a scale model of an office building. The scale used to build the model is  $\frac{1}{120}$  .

What is the equivalent decimal value for this scale?

• 0.008

• $0.008\overline{3}$
  

• $0.8\overline{3}$

• $0.00\overline{83}$

Which point could represent   $\frac{5}{3}$  ?

• A

• B

• C

• D

Which rational number is the additive inverse of -0.75?

• $\frac{-3}{4}$

• $\frac{7}{5}$

• $\frac{3}{4}$

• $\frac{-4}{3}$

Which of the following are true statements? Select all that apply.

• All integers are rational numbers.

• Repeating decimals are not rational numbers.

• $\frac{715}{-14}$ is not a rational number.

• Terminating decimals are rational numbers.

• 0.278254….. is a terminating decimal, therefore it is a rational number.

Which pairs of rational numbers are equivalent? Select all that apply.

• $\frac{-1}{2}$ and $-0.5$
  

• $0.\overline{7}$ and $\frac{7}{10}$
  

• $\frac{11}{20}$ and $0.55$
  

• $0.15$ and $0.1\overline{5}$