Classifying Numbers and Properties

If you multiply a number and its multiplicative inverse, what do you get?

• 0

• 1

• Not enough information

• None of these

Classify the number by checking all that apply!

• Natural

• Whole

• Integer

• Rational

• Irrational

• Natural

• Whole

• Integer

• Rational

• Irrational

Classify the number by checking all that apply!
5π 

• Natural

• Whole

• Integer

• Rational

• Irrational

Let x represent the number √₁₉₆ . Which of the following diagrams correctly displays how x, the set of rational numbers, and the set of irrational numbers are related.

• A

• B

• C

• D

All irrational numbers have a decimal expansion that does not terminate or repeat.

• True

• False

Which of the following best defines irrational numbers?

• numbers that can be written as a fraction or decimal that either terminates or continues forever in a repeating pattern

• numbers that make sense

• numbers that go on forever and ever with out a repeating pattern and cannot be written as a fraction

• fractions

• It is rational because one of the addends is irrational.

• It is rational because both of the addends are rational.

• It may be rational or irrational, because one of the addends is irrational.

• It may be rational or irrational, because both of the addends are rational.

Answer explanation

The sum is rational because both addends are rational.

What is true about the decimal representation of irrational numbers?

• It is finite.

• It is always repeating.

• It is non-repeating and non-terminating.

• It can be exactly expressed as a fraction.