Exploring Real Numbers

Which is the correct classification and decimal expansion of 5/8 ?

• $irrational\ number\ 0.6\overline{25}$

• $irrational\ number\ 0.625$

• $rational\ number\ 0.625$

• $rational\ number\ 0.6\overline{25}$

Which is the correct classification of 

 $\sqrt{18}?$  

• irrational number, non-repeating decimal

• irrational number, terminating decimal

• rational number, terminating decimal

• rational number, non-repeating decimal

Which fraction has a repeating decimal as its decimal expansion?

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• 
• 
• 

Which number is rational?

• 
• 
• 
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Which fraction has a terminating decimal as its decimal expansion?

• 1/3

• 1/5

• 1/7

• 1/9

Sam said the square root of a rational number must be a rational number. Jenna disagreed. She said that it is possible that the square root of a rational number can be irrational. Who is correct and why?

• Jenna is correct because all square roots are irrational numbers.

• Sam is correct because all square roots of rational numbers are rational. An example is $\sqrt{121}=11$

• Jenna is correct because not all square roots are rational. An example is $\sqrt{2}=\ 1.414213...$

• Sam is correct because the properties of square roots state that the square root of a rational number is a rational number.

Which is the decimal expansion of 7/22 ?

• $\overline{0.318}$

• $0.3\overline{18}$

• $0.\overline{318}$

• $0.31\overline{8}$

How many repeating digits are in

 $0.\overline{536}$  ?

• 1

• 2

• 3

• 4

Which simplified fraction represents

 $0.\overline{45}$  ?

• 45/99

• 99/45

• 5/11

• 11/5

Which is

 $0.\overline{54}$  converted to a simplified fraction?

• 27/50

• 54/100

• 6/11

• 54/99