Exploring Real Numbers

Question 1

Which is converted to a simplified fraction?

Revolt · Accepted Answer

StartFraction 6 Over 11 EndFraction

Question 2

The sum of a rational number and an irrational number equals:

Revolt · Accepted Answer

an irrational number.

Question 3

Which number is rational?

Revolt · Accepted Answer

StartRoot 16 EndRoot

Question 4

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 5

Which simplified fraction is equal to ?

Revolt · Accepted Answer

StartFraction 8 Over 15 EndFraction

Question 6

Which is the correct classification and decimal expansion of ?

Revolt · Accepted Answer

rational number,

Question 7

Which fraction has a repeating decimal as its decimal expansion?

Revolt · Accepted Answer

StartFraction 3 Over 11 EndFraction

Question 8

Which is the correct classification of ?

Revolt · Accepted Answer

irrational number, non-repeating decimal

Question 9

How many repeating digits are in ?

Revolt · Accepted Answer

3

Question 10

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

Exploring Real Numbers Answers

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