Deck 10: Rational Numbers

Question 1

State which number on the number line is in the location given below. 5 units to the right of -2

A) 7
B) -7
C) 3
D) 4
E) 2

Answer 1

3

Question 2

Place the correct symbol, <, =, or >, between the two numbers. |-9| ____ |-5|

A) =
B) >
C) <

Answer 2

>

Question 3

Find the opposite number of -25.

A) $- 25$
B) $25$
C) - $\frac { 1 } { 25 }$
D) $\frac { 1 } { 25 }$
E) $0$

Answer 3

$25$

Question 4

Evaluate -|64|.

A) 64
B) -64
C) 0
D) -1
E) 1

Question 5

State which number on the number line is in the location given below. 4 units to the left of -6

A) 10
B) -11
C) -10
D) -2
E) 11

Question 6

Evaluate -|-86|.

A) 86
B) 1
C) -86
D) -1
E) 0

Question 7

Find the absolute value of the number 3.

A) -3
B) 1
C) -1
D) 3
E) 0

Question 8

Evaluate $| - 85 |$ .

A) -85
B) 1
C) 0
D) -1
E) 85

Question 9

Place the correct symbol, <, =, or >, between the two numbers. |-15| ____ |-8|

A) <
B) =
C) >

Question 10

Place the correct symbol, < or >, between the two numbers. -68 ____ 99

A) <
B) >

Question 11

Write the given numbers in order from smallest to largest. -10, 17, 1, -4, 0

A) 1, -4, -10, 17, 0
B) -10, 17, 1, 0, 17
C) 0, 17, 1, -10, -4
D) -10, -4, 0, 1, 17
E) -10, -4, 0, 17, 1

Question 12

Place the correct symbol, <, =, or >, between the two numbers. |4| ____ |7|

A) =
B) <
C) >

Question 13

Graph the numbers on the number line. -1 and 2

A)
B)
C)
D)
E)

Question 14

Evaluate |-86|.

A) -86
B) 1
C) 86
D) -1
E) 0

Question 15

Place the correct symbol, <, =, or >, between the two numbers. |6| ____ |1|

A) =
B) >
C) <

Question 16

Place the correct symbol, < or >, between the two numbers. 4 ___ -3

A) <
B) >

Question 17

Find the opposite number of -6.

A) $- 6$
B) $6$
C) - $\frac { 1 } { 6 }$
D) $\frac { 1 } { 6 }$
E) $0$

Question 18

If G is 2 and I is 4, what number is B?

A) -3
B) -2
C) -4
D) -1
E) -9

Question 19

Place the correct symbol, < or >, between the two numbers. 2 ____ -4

A) <
B) >

Question 20

Write the given numbers in order from smallest to largest. -7, -18, 20, 2

A) -18, -7, 2, 20
B) -18, 20, 2, 20
C) 20, 2, -18, -7
D) 2, -7, -18, 20
E) -18, -7, 20, 2

Question 21

Add: -16 + (-2)

A) -19
B) 18
C) -18
D) 14
E) -14

Question 22

Subtract: 6 - (-15)

A) -8
B) -9
C) 9
D) 21
E) -21

Question 23

Subtract: 3 - (-12) - 2

A) 17
B) -11
C) -17
D) 13
E) 11

Question 24

Add: 17 + (-8)

A) -8
B) -25
C) 25
D) 9
E) 8

Question 25

What is -16 more than -6?

A) -11
B) 10
C) -22
D) -23
E) -10

Question 26

What is -26 decreased by 6?

A) 20
B) -20
C) -32
D) -31
E) -21

Question 27

Add: -10 + 4

A) -13
B) 14
C) 6
D) -6
E) -14

Question 28

What is -4 added to -9?

A) -12
B) -5
C) -13
D) 5
E) -14

Question 29

Write the given numbers in order from smallest to largest. |-17|, |2|, -|7|, -4

A) -|7|, -4, |2|, |-17|
B) -|7|, |-17|, |2|, -4
C) -|7|, -4, |-17|, |2|
D) |-17|, -|7|, -4, |2|
E) -4, -|7|, |-17|, |2|

Question 30

Find the sum of -9, -5, and 13.

A) -9
B) -27
C) -1
D) -17
E) 17

Question 31

What is the difference between -24 and 3?

A) -20
B) 21
C) -27
D) 27
E) -22

Question 32

Subtract: 9 - 28

A) 36
B) 37
C) -19
D) 19
E) -37

Question 33

Find -21 less than 18.

A) 39
B) 2
C) -38
D) 3
E) -39

Question 34

Subtract: 10 - (-14) - 3 - 4

A) 23
B) -11
C) 31
D) -31
E) 17

Question 35

Subtract: -8 - (-11)

A) -4
B) 19
C) -19
D) 3
E) -20

Question 36

Subtract: -14 - 27

A) -14
B) -13
C) 12
D) -41
E) 13

Question 37

What is the total of 20, -4, 6, and -2?

A) 20
B) 24
C) -20
D) 32
E) 28

Question 38

Add: 3 + (-3) + 3 + (-15)

A) -12
B) 24
C) -6
D) -18
E) 18

Question 39

Add: -19 + (-6) + 14

A) 1
B) 39
C) -11
D) 27
E) -25

Question 40

Subtract -22 from -1.

A) 23
B) -23
C) 21
D) -21
E) -22

Question 41

Multiply: (-18)(-29)

A) 522
B) -11
C) 47
D) -522
E) 11

Question 42

Divide: 12 $\div$ (-6)

A) 6
B) 18
C) -6
D) -2
E) 2

Question 43

Find the temperature after a rise of 5 ${ } ^ { \circ } \mathrm { C }$ from -3 ${ } ^ { \circ } \mathrm { C }$ .

A) 2 ${ } ^ { \circ } \mathrm { C }$
B) -7 ${ } ^ { \circ } \mathrm { C }$
C) -9 ${ } ^ { \circ } \mathrm { C }$
D) 8 ${ } ^ { \circ } \mathrm { C }$
E) -8 ${ } ^ { \circ } \mathrm { C }$

Question 44

Multiply: 4(-2)(-5)

A) -3
B) 7
C) -13
D) 14
E) 40

Question 45

Multiply: (-6) . (-27)

A) -33
B) -21
C) 21
D) -162
E) 162

Question 46

Divide: 0 $\div$ (-15)

A) 15
B) 8
C) $0$
D) -15
E) -6

Question 47

Find the quotient of -45 and -15.

A) -60
B) -30
C) 3
D) 60
E) -3

Question 48

Divide: (-78) $\div$ (-13)

A) -91
B) 6
C) 91
D) 65
E) -65

Question 49

The elevation, or height, of places on Earth is measured in relation to sea level, or the average level of the ocean's surface. The table below shows heights above sea level as a positive number and depth below sea level as a negative number. Find the difference in elevation between Mt. Aconcagua and Death Valley. Continent
Highest elevation
(in meters)
Lowest elevation
(in meters)
Africa
Mt) Kilimanjaro
5895
Qattara Depression
-156
Asia
Mt) Everest
8850
Dead Sea
-411
Europe
Mt) Elbrus
5642
Caspian Sea
-28
America
Mt) Aconcagua
6960
Death Valley
-86

A) -7049 m
B) 7046 m
C) -7146 m
D) 7145 m
E) 7044 m

Question 50

Multiply: -8 . (0)

A) 8
B) -6
C) -8
D) 6
E) 0

Question 51

Multiply: 11 . (-24)

A) -13
B) -35
C) 13
D) 264
E) -264

Question 52

Multiply: -13 . (25)

A) 12
B) -38
C) 38
D) 325
E) -325

Question 53

Multiply: -12 . 13

A) 25
B) 1
C) -25
D) -156
E) 156

Question 54

Multiply: 5(2)(-2)(-3)

A) 12
B) 5
C) -12
D) -60
E) 60

Question 55

The daily low temperatures during one week were recorded as follows: 3 ${ } ^ { \circ } \mathrm { F }$ , -6 ${ } ^ { \circ } \mathrm { F }$ , 7 ${ } ^ { \circ } \mathrm { F }$ , -2 ${ } ^ { \circ } \mathrm { F }$ , -13 ${ } ^ { \circ } \mathrm { F }$ , -15 ${ } ^ { \circ } \mathrm { F }$ , -9 ${ } ^ { \circ } \mathrm { F }$ . Find the average daily low temperature for the week.

A) 6 ${ } ^ { \circ } \mathrm { F }$
B) 27 ${ } ^ { \circ } \mathrm { F }$
C) -5 ${ } ^ { \circ } \mathrm { F }$
D) -29 ${ } ^ { \circ } \mathrm { F }$
E) -8 ${ } ^ { \circ } \mathrm { F }$

Question 56

A patient's weight loss can be recorded using negative numbers. A patient's weight loss in November was recorded as -3 lb. In December, the same patient's weight loss was recorded as -1 lb and in January, the patient's weight loss was recorded as -2 lb. During which month was the weight loss the greatest?

A) November
B) January
C) October
D) December
E) September

Question 57

What is -66 divided by -6?

A) -72
B) -60
C) 11
D) 72
E) -11

Question 58

A temperature measurement from the Earth's stratosphere is taken as -68 ${ } ^ { \circ } \mathrm { F }$ . The temperature on the Earth's surface below is found to be 42 ${ } ^ { \circ } \mathrm { F }$ . Find the difference between the surface temperature reading and the stratosphere temperature reading.

A) -27 ${ } ^ { \circ } \mathrm { F }$
B) -26 ${ } ^ { \circ } \mathrm { F }$
C) 27 ${ } ^ { \circ } \mathrm { F }$
D) 110 ${ } ^ { \circ } \mathrm { F }$
E) 26 ${ } ^ { \circ } \mathrm { F }$

Question 59

A patient's temperature was 103°F at noon. By 2 P.M., the patient's temperature had fallen 4°F (-4°) but at 5 P.M., it had risen 2° (+2°). What was the patient's temperature at 5 P.M.?

A) 106°F
B) 104°F
C) 94°F
D) 101°F
E) 92°F

Question 60

A patient begins a new diet plan and each month records any change in weight using integers. Calculate the total change in the patient's weight using these recorded amounts: -6 lb, -3 lb, 2 lb, -5 lb, and -4 lb.

A) 15 lb
B) -16 lb
C) -17 lb
D) 17 lb
E) 16 lb

Question 61

Simplify the following expression. $- \frac { 1 } { 2 } + \frac { 4 } { 7 }$

A) $\frac { 1 } { 14 }$
B) $\frac { 29 } { 14 }$
C) $- \frac { 1 } { 14 }$
D) $1$
E) $- \frac { 29 } { 14 }$

Question 62

Simplify: -3.1 + 6.7 - 9.1

A) 18.9
B) 0.7
C) -18.9
D) 12.7
E) -5.5

Question 63

Simplify the following expression. $\left( \frac { 14 } { 19 } \right) \left( - \frac { 1 } { 4 } \right) \left( - \frac { 8 } { 17 } \right)$

A) $- \frac { 28 } { 323 }$
B) $\frac { 28 } { 57 }$
C) $\frac { 28 } { 85 }$
D) $\frac { 28 } { 323 }$
E) $- \frac { 28 } { 85 }$

Question 64

Simplify the following expression. $- \frac { 2 } { 8 } - \left( - \frac { 2 } { 9 } \right) + \frac { 2 } { 10 }$

A) $- \frac { 1 } { 180 }$
B) $\frac { 1 } { 180 }$
C) $- \frac { 31 } { 180 }$
D) $- 1$
E) $\frac { 31 } { 180 }$

Question 65

Simplify the following expression. $\frac { 5 } { 7 } - \frac { 1 } { 3 }$

A) $\frac { 8 } { 21 }$
B) $\frac { 1 } { 21 }$
C) $- \frac { 8 } { 21 }$
D) $1$
E) $\frac { 7 } { 13 }$

Question 66

Simplify: -4.8 + (-5.76)

A) 0.96
B) -10.56
C) -10.26
D) -10.66
E) -0.96

Question 67

Simplify the following expression. $- \frac { 2 } { 11 } - \frac { 1 } { 2 }$

A) $\frac { 15 } { 22 }$
B) $\frac { 1 } { 22 }$
C) $- \frac { 15 } { 22 }$
D) $1$
E) $- \frac { 1 } { 22 }$

Question 68

The patients enrolled in a clinical trial for a new weight-loss drug had a combined weight loss of -56 lb during the first month. There were eight patients in the clinical trial. What was the average weight loss per patient?

A) -6 lb
B) 8 lb
C) -7 lb
D) 6 lb
E) -8 lb

Question 69

The combined scores of the top twelve golfers in a tournament equaled -48 (48 under par). What was the average score of the twelve golfers?

A) 36
B) -4
C) -7
D) -36
E) 4

Question 70

Simplify: -6 + 8.1

A) 14.1
B) 2.1
C) -14.1
D) 8
E) -2.1

Question 71

Simplify the following expression. $\left( \frac { 23 } { 39 } \right) \left( - \frac { 17 } { 44 } \right)$

A) $\frac { 391 } { 1716 }$
B) $\frac { 391 } { 783 }$
C) $- \frac { 391 } { 1716 }$
D) $- \frac { 391 } { 1174 }$
E) $\frac { 391 } { 1174 }$

Question 72

Simplify the following expression. $\left( \frac { 3 } { 5 } \right) \div \left( - \frac { 4 } { 5 } \right)$

A) $- \frac { 3 } { 4 }$
B) $\frac { 3 } { 10 }$
C) $\frac { 3 } { 4 }$
D) $- \frac { 3 } { 7 }$
E) $\frac { 3 } { 7 }$

Question 73

Simplify the following expression. $- \frac { 1 } { 2 } - \left( - \frac { 5 } { 11 } \right)$

A) $- \frac { 45 } { 22 }$
B) $\frac { 45 } { 22 }$
C) $\frac { 1 } { 22 }$
D) $- 1$
E) $- \frac { 1 } { 22 }$

Question 74

Simplify: $- 4.6 \times 9.1$

A) 4.5
B) -41.86
C) -13.7
D) -4.5
E) 41.86

Question 75

Simplify: $( - 1 ) ( - 7.05 )$

A) 7.05
B) 70.5
C) 0.00705
D) -70.5
E) -7.05

Question 76

The patients enrolled in a clinical trial for a new weight-loss drug had a combined weight loss of -15 lb during the first month. During the second month of the clinical trial, the patients lost twice as much weight as they had the first month. What was their combined weight loss the second month?

A) +15 lb
B) -29lb
C) -28 lb
D) -30 lb
E) +28lb

Question 77

Simplify the following expression. $\left( - \frac { 6 } { 11 } \right) \left( - \frac { 7 } { 8 } \right)$

A) $\frac { 21 } { 44 }$
B) $\frac { 21 } { 64 }$
C) $- \frac { 21 } { 44 }$
D) $\frac { 21 } { 43 }$
E) $- \frac { 21 } { 43 }$

Question 78

Simplify the following expression. $- \frac { 16 } { 19 } \div \frac { 5 } { 6 }$

A) $- \frac { 96 } { 95 }$
B) $\frac { 95 } { 286 }$
C) $\frac { 96 } { 95 }$
D) $- \frac { 96 } { 193 }$
E) $\frac { 96 } { 193 }$

Question 79

Simplify the following expression. $\left( - \frac { 8 } { 19 } \right) \div \left( - \frac { 1 } { 4 } \right)$

A) $- \frac { 32 } { 19 }$
B) $\frac { 32 } { 161 }$
C) $\frac { 32 } { 19 }$
D) $\frac { 32 } { 163 }$
E) $- \frac { 32 } { 163 }$

Question 80

Simplify the following expression. $\left( - \frac { 9 } { 59 } \right) \left( \frac { 39 } { 40 } \right)$

A) $\frac { 351 } { 2360 }$
B) $\frac { 351 } { 703 }$
C) $- \frac { 351 } { 2360 }$
D) $- \frac { 351 } { 1054 }$
E) $\frac { 351 } { 1054 }$