Exploring Real Numbers

Question 1

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?

Revolt · Accepted Answer

Jenna is correct because not all square roots are rational. An example is

Question 2

How many repeating digits are in ?

Revolt · Accepted Answer

3

Question 3

Which expressions represent rational numbers? Check all that apply.

Revolt · Accepted Answer

StartRoot 64 EndRoot + StartFraction 6 Over 11 EndFraction; StartRoot 16 EndRoot + StartRoot 169 EndRoot; 17.ModifyingAbove 43 with bar + StartRoot 49 EndRoot

Question 4

Which irrational number can be added to to get a sum that is rational?

Revolt · Accepted Answer

Negative pi

Question 5

Which fraction has a terminating decimal as its decimal expansion?

Revolt · Accepted Answer

One-fifth

Question 6

Which simplified fraction represents ?

Revolt · Accepted Answer

StartFraction 5 Over 11 EndFraction

Question 7

What is the sum and classification of ?

Revolt · Accepted Answer

3.31227766..., irrational

Question 8

Which simplified fraction is equal to ?

Revolt · Accepted Answer

StartFraction 8 Over 15 EndFraction

Question 9

Which irrational number can be multiplied by – to get a product that equals 1?

Revolt · Accepted Answer

Negative StartRoot StartFraction 1 Over 41 EndFraction EndRoot

Question 10

The repeating decimal, , is converted to the fraction .What is the value of x in the fraction?

Revolt · Accepted Answer

11

Exploring Real Numbers Answers

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