**Variables, Constants, and Real Numbers ((Reference))**

For problems 1-5, next to each real number, note all subsets of the real numbers to which it belongs by writing *N* for natural numbers, *W* for whole numbers, or *Z* for integers. Some numbers may belong to more than one subset.

#### Exercise 1

61

##### Solution

*N, W, Z*

#### Exercise 2

#### Exercise 3

0

##### Solution

*W, Z*

#### Exercise 4

1

#### Exercise 5

Write all the integers that are strictly between

##### Solution

#### Exercise 6

Write all the integers that are between and including

For each pair of numbers in problems 7-10, write the appropriate symbol (<, >, =) in place of the □.

#### Exercise 7

-5 □ -1

##### Solution

<

#### Exercise 8

0 □ 2

#### Exercise 9

-7 □ 0

##### Solution

<

#### Exercise 10

-1 □ 0

For problems 11-15, what numbers can replace *x *so that each statement is true?

#### Exercise 11

*x* is an integer

##### Solution

#### Exercise 12

*x *is a whole number.

#### Exercise 13

*x *is a natural number.

##### Solution

#### Exercise 14

*x *is a natural number

#### Exercise 15

*x *is a whole number.

##### Solution

none

For problems 16-20, how many units are there between the given pair of numbers?

#### Exercise 16

0 and 4

#### Exercise 17

##### Solution

4

#### Exercise 18

#### Exercise 19

##### Solution

6

#### Exercise 20

#### Exercise 21

A number is positive if it is directly preceded by a

sign or no sign at all.

##### Solution

+ (plus)

#### Exercise 22

A number is negative if it is directly preceded by a

sign.

**Signed Numbers ((Reference))**

For problems 23-26, how should each number be read?

#### Exercise 23

##### Solution

negative eight

#### Exercise 24

#### Exercise 25

##### Solution

negative negative one or opposite negative one

#### Exercise 26

For problems 27-31, write each expression in words.

#### Exercise 27

##### Solution

one plus negative seven

#### Exercise 28

#### Exercise 29

##### Solution

negative one minus four

#### Exercise 30

#### Exercise 31

##### Solution

zero minus negative eleven

For problems 32-36, rewrite each expression in simpler form.

#### Exercise 32

#### Exercise 33

##### Solution

15

#### Exercise 34

#### Exercise 35

##### Solution

19 or

#### Exercise 36

**Absolute Value ((Reference))**

For problems 37-52, determine each value.

#### Exercise 37

##### Solution

9

#### Exercise 38

#### Exercise 39

##### Solution

5

#### Exercise 40

#### Exercise 41

##### Solution

#### Exercise 42

#### Exercise 43

##### Solution

12

#### Exercise 44

#### Exercise 45

##### Solution

16

#### Exercise 46

#### Exercise 47

##### Solution

16

#### Exercise 48

#### Exercise 49

##### Solution

8

#### Exercise 50

#### Exercise 51

##### Solution

7

#### Exercise 52

**Addition, Subtraction, Multiplication and Division of Signed Numbers ((Reference),(Reference),(Reference))**

For problems 53-71, perform each operation.

#### Exercise 53

##### Solution

#### Exercise 54

#### Exercise 55

##### Solution

#### Exercise 56

#### Exercise 57

##### Solution

#### Exercise 58

#### Exercise 59

##### Solution

48

#### Exercise 60

#### Exercise 61

##### Solution

#### Exercise 62

#### Exercise 63

##### Solution

3

#### Exercise 64

#### Exercise 65

##### Solution

1

#### Exercise 66

#### Exercise 67

##### Solution

not defined

#### Exercise 68

#### Exercise 69

##### Solution

#### Exercise 70

#### Exercise 71

Comments:"Used as supplemental materials for developmental math courses."