# 1.08 The real number system

## Interactive practice questions

Which of the following is the set of all integers?

$\left\{0,1,2,3,\ldots\right\}${0,1,2,3,}

A

$\left\{\ldots,-3,-2,-1,0,1,2,3,\ldots\right\}${,3,2,1,0,1,2,3,}

B

$\left\{1,2,3,\ldots\right\}${1,2,3,}

C

$\left\{\ldots,-3,-2,-1,0\right\}${,3,2,1,0}

D

$\left\{0,1,2,3,\ldots\right\}${0,1,2,3,}

A

$\left\{\ldots,-3,-2,-1,0,1,2,3,\ldots\right\}${,3,2,1,0,1,2,3,}

B

$\left\{1,2,3,\ldots\right\}${1,2,3,}

C

$\left\{\ldots,-3,-2,-1,0\right\}${,3,2,1,0}

D
Easy
Less than a minute

Fill in the blank so that the resulting statement is true.

Using the diagram, determine whether the following statement is true or false:

$\sqrt{13}$13 is a rational number.

### Outcomes

#### 9.B1.2

Describe how various subsets of a number system are defined, and describe similarities and differences between these subsets.

#### 9.B1.3

Use patterns and number relationships to explain density, infinity, and limit as they relate to number sets.