Deck 4: Decimals

Question 1

Graph 2.5 on a number line.

A)
B)
C)
D)

Answer 1

Question 2

Construct a decimal number by writing:
9 in the tenths column,
7 in the thousandths column,
1 in the tens column,
5 in the thousands column,
9 in the hundreds column,
8 in the hundredths column,
4 in the ten thousandths column,
5 in the ones column.

Answer 2

5915.9874

Question 3

Write 4.91 in expanded form.

A) $4 + \frac { 9 } { 10 } + \frac { 1 } { 100 }$
B) $4 + \frac { 9 } { 10 } + \frac { 1 } { 10 }$
C) $4 + 0.091$
D) $4 + \frac { 91 } { 10 }$

Answer 3

$4 + \frac { 9 } { 10 } + \frac { 1 } { 100 }$

Question 4

Graph 3.125 on a number line.

A)
B)
C)
D)

Question 5

Fill in the blank with the proper symbol ( , or = ) to make a true statement. $- 4.25$ $\underline { \quad\quad\quad\quad\quad }$ $3.48$

A) $- 4.25 < 3.48$
B) $- 3.48 = 3.48$
C) $4.25 = - 4.25$
D) $- 4.25 > 3.48$
E) $- 4.25 = 3.48$

Question 6

Write the decimal in words.
9.099

A) Nine and ninety-nine divided by a thousand
B) Nine and ninety-nine thousandths
C) Nine and ninety-nine hundredths
D) Nine and ninety-nine ten-thousandths
E) Nine ninety nine thousand

Question 7

Round the following decimal to the nearest tenth.
415.87

A) 415.8
B) 415.88
C) 415.9
D) 415.87
E) 416

Question 8

Construct a decimal number by writing and multiply by 3.
3 in the tenths column,
3 in the thousandths column,
2 in the tens column,
1 in the thousands column,
7 in the hundreds column,
1 in the hundredths column,
1 in the ten thousandths column,
5 in the ones column.

A) 5,154.9393
B) 5,175.9393
C) 5,175.9543
D) 4,275.9393

Question 9

Write the number as a decimal.
Two hundred thirty eight and forty-nine thousandths

Question 10

Fill in the blank with the proper symbol ( , or = ) to make a true statement. $- 10.39$ $\underline { \quad\quad\quad\quad\quad }$ $- 10.72$

A) $- 10.39 < - 10.72$
B) $- 10.72 = 10.72$
C) $- 10.39 = 10.39$
D) $- 10.39 > - 10.72$
E) $- 10.39 = - 10.72$

Question 11

Add the following numbers. $\begin{array} { r } 44.9 \\+46.7\end{array}$

A) 87.6
B) 91.6
C) 92.6
D) 91.7
E) 91.4

Question 12

Write 728.029 in expanded form.

A) $700 + 20 + 8 + \frac { 2 } { 10 } + \frac { 9 } { 100 }$
B) $700 + 20 + 8 + \frac { 2 } { 1 } + \frac { 9 } { 10 }$
C) $700 + 20 + 8 + \frac { 2 } { 100 } + \frac { 9 } { 1000 }$
D) $700 + 20 + 8 + 0.29$

Question 13

Write 4,504.5042 in expanded form.

A) $400 + 50 + 4 + \frac { 5 } { 10 } + \frac { 4 } { 100 } + \frac { 2 } { 1,000 }$
B) $4,000 + 500 + 40 + \frac { 5 } { 10 } + \frac { 4 } { 1,000 } + \frac { 2 } { 10,000 }$
C) $4,000 + 500 + 4 + \frac { 5 } { 10 } + \frac { 4 } { 100 } + \frac { 2 } { 1,000 }$
D) $4,000 + 500 + 4 + \frac { 5 } { 10 } + \frac { 4 } { 1,000 } + \frac { 2 } { 10,000 }$
E) $400 + 50 + 4 + \frac { 5 } { 10 } + \frac { 4 } { 1,000 } + \frac { 2 } { 10,000 }$
F) $400 + 50 + 4 + \frac { 5 } { 100 } + \frac { 4 } { 1,000 } + \frac { 2 } { 10,000 }$

Question 14

Find the sum. $( - 0.1 ) + 0.8$

A) 0.7
B) 1.2
C) 0.8
D) 0.5
E) 1.3

Question 15

Graph 0.7 on a number line.

A)
B)
C)
D)

Question 16

Fill in the blank with the proper symbol ( , or = ) to make a true statement.
7.132 ____ 7.123

A) 7.132
B) 7.132 > 7.123
C) 7.132 = 7.123

Question 17

Round the following decimal to the nearest hundredth.
670.311

A) 670.5
B) 670.31
C) 670.312
D) 670.32
E) none of the above

Question 18

Round the decimal to the nearest thousandth.
559.8342

A) 559.835
B) 559.834
C) 559.85
D) 559.8343
E) none of the above

Question 19

Perform the operation. $0.4064 + 1.6642$

A) 1.0706
B) 2.0806
C) 2.3706
D) 2.0706
E) 2.1706

Question 20

Write the number as a decimal.
Forty-four thousandths

A) 0.0044
B) 0.044
C) 0
D) 0.44
E) 4.4

Question 21

Subtract. $- 38.72 - ( - 45.641 ) =$ $\underline { \quad\quad\quad\quad\quad }$

A) 7.021
B) -6.921
C) -84.361
D) 84.361
E) 6.921

Question 22

Subtract. $- 47.79 - ( - 33.345 )$

A) -14.465
B) -14.444
C) -14.345
D) -13.32
E) -14.445

Question 23

A deposit slip for a savings account is shown below. Find the subtotal and then the total deposit.

Subtotal = __________, Total deposit = __________

Question 24

Estimate by rounding the addends to the nearest ten: $134.19 + 289.47$

A) 420
B) 430
C) 410
D) 440

Question 25

After expenses of $52.15 were paid, a club donated $878.85 in proceeds from a pancake breakfast to a local health clinic. How much did the pancake breakfast gross?

A) $891
B) $901
C) $911
D) $931
E) $921

Question 26

Find the markup on a dozen roses if a florist buys them wholesale for $12.45 and sells them for $38.10.
$ __________

Question 27

The following bar chart shows the six most-watched television shows of all time: "Mash," "Dallas," "Cheers," "The Day After," "Roots," and "Seinfeld." What was the combined total audience of all six shows?

A) 499.4 million
B) 497.4 million
C) 497.5 million
D) 487.4 million
E) 486.3 million

Question 28

Find the difference of price on ice cream in 2013.

Question 29

Add. $- 32.7 + 47.3 =$ $\underline { \quad\quad\quad\quad\quad }$

A) 16.1
B) -14.6
C) 14.6
D) 14.4
E) -13.6

Question 30

Multiply. $- 0.7 \cdot 2.9$

A) 2.03
B) 20.3
C) -20.3
D) -2.03
E) -5.73

Question 31

Multiply. $5.5 \cdot 6.1 \cdot ( - 2.5 )$

A) -83.875
B) -86.775
C) 8.3875
D) 83.875
E) -8.3875

Question 32

A patient's temperature is $0.9 ^ { \circ }$ above normal. ( $98.6 ^ { \circ }$ Fahrenheit is considered normal.) What is his temperature?

A) $100.6 ^ { \circ }$
B) $100.5 ^ { \circ }$
C) $99.3 ^ { \circ }$
D) $99.5 ^ { \circ }$
E) $99.4 ^ { \circ }$

Question 33

An electronics company has strict specifications for silicon chips used in computers. The company will only install chips that are within 0.07 cm of the specified thickness. If the thickness specification of the chip type is 0.955 cm, find the lower and upper limit for the acceptable range of thickness of the chips.

A) The lower limit is 0.885 cm and the upper is 1.025 cm.
B) The lower limit is 0.895 cm and the upper is 1.024 cm.
C) The lower limit is 0.986 cm and the upper is 1.024 cm.
D) The lower limit is 0.885 cm and the upper is 1.035 cm.
E) The lower limit is 0.886 cm and the upper is 1.025 cm.

Question 34

Add. $- 20.71 + ( - 26.4 ) =$ $\underline { \quad\quad\quad\quad\quad }$

A) -47.11
B) -47.01
C) -47.31
D) -45.61
E) -47.1

Question 35

Perform the operation. $235.197 \cdot 247.03617$

A) 58,102.17
B) 58,101.17
C) 58,102.27
D) 58,102.42
E) 58,102.16

Question 36

Subtract. - $\begin{array} { r } 40.7 \\27.1 \\\hline\end{array}$

A) 13.4
B) 14.6
C) 13.6
D) 13.7
E) 12.6

Question 37

The late Florence Griffith-Joyner set the United States national and world record in the 100-meter sprint: 10.69 seconds. Jenny Thompson set the United States national record in the 100-meter freestyle swim: 53.12 seconds. How much faster did Griffith-Joyner run the 100 meters than Thompson swam it?

A) 41.33 seconds
B) 42.44 seconds
C) 42.38 seconds
D) 42.43 seconds
E) 43.54 seconds

Question 38

Estimate by rounding the addends to the nearest ten: $666.121 + 761.3142$

A) 1420
B) 1440
C) 1430
D) 1450

Question 39

Estimate using front-end rounding:  $688.29 - 255.237$

A) 440
B) 430
C) 420
D) 450

Question 40

Subtract. $48 - 24.009$

A) 24.991
B) 24.001
C) 23.991
D) 23.989
E) 23.891

Question 41

Multiply. $- 3.1 \cdot 2.7$

A) 83.7
B) 8.37
C) -8.37
D) -14.27
E) -83.7

Question 42

Divide.

A) 34.15
B) 34.7
C) 34.2
D) 35.2
E) 34.1

Question 43

Evaluate the expression. $1.3 ^ { 2 }$

A) 2.09
B) 1.79
C) 1.39
D) 1.89
E) 1.69

Question 44

Estimate by rounding: $0.04004 \cdot 100.05$

A) 4.004
B) 40.04
C) 0.4004
D) 400.4

Question 45

Divide. $\frac { 0.114 } { 0.57 }$

A) 0.1
B) 0.7
C) 0.2
D) 1.2
E) 0.3

Question 46

A bakery buys various types of nuts as ingredients for cookies. What is the cost of 23 pounds of peanuts if the price per pound of peanuts is $9.19?

A) $211.37
B) $76.90
C) $21.14
D) $7.69
E) none of the above

Question 47

Multiply. $40.57 \cdot 1,000$

A) 40.57
B) 405,700
C) 0.04057
D) 40,570
E) none of the above

Question 48

Multiply. $- 18.31 \cdot 1,000$

A) -0.01831
B) -18,310
C) -1,831,000
D) -183,100
E) -1,831

Question 49

Divide.

A) 3.61
B) 3.56
C) 3.66
D) 4.16
E) 4.66

Question 50

Two types of tickets were sold for a concert. Floor seating cost $14.75 a ticket, and balcony seats were $11.60. Use the table to find the total receipts from the sale of both types of tickets. $$\begin{array} { | l | l | l | } \hline \text { Ticket type } & \text { Price } & \text { Number sold } \\\hline \text { Floor } & \$ 14.75 & 100 \\\hline \text { Balcony } & \$ 11.60 & 1,000 \\\hline\end{array}$$

A) $11,747.50
B) $13,075.00
C) $2,635.00
D) $117,475.00
E) none of the above

Question 51

Estimate using front-end rounding:   $47 \cdot 5.44$

A) 260
B) 250
C) 240
D) 270

Question 52

Evaluate the following expression. $( 3.3 + 3.1 ) ( - 9.9 - 2.9 )$

A) -81.92
B) -2.56
C) -44.8
D) -819.2
E) 2.56

Question 53

Evaluate the expression. $( - 0.6 ) ^ { 2 }$

A) 1.2
B) 0.36
C) -1.2
D) -0.36

Question 54

Multiply: $109.3 \cdot 0.00001$

A) 0.001093
B) 10,930,000
C) 0.0001093
D) 0.01093

Question 55

Find the following power. $( - 2.9 ) ^ { 2 }$

A) -8.41
B) 0.841
C) 5.8
D) 8.41
E) 84.1

Question 56

Estimate by rounding each factor to the nearest tenth: $33.47 \cdot 4.41$

A) 147.4
B) 157.4
C) 137.4
D) 167.4

Question 57

Divide. $( - 40.67 ) \div ( - 7 )$

A) 6.31
B) 5.76
C) 6.81
D) 5.71
E) 5.81

Question 58

In the city map illustrated below, the streets form a grid. Each street is 0.24 miles apart. Find the distance of a trip from the airport to city hall.
__________ miles

Question 59

Evaluate the expression.

Question 60

Evaluate the expression without using a calculator. $\frac { \left( 0.8 ^ { 8 } \right) \left( 0.3 ^ { 8 } \right) } { \left( 0.6 ^ { 8 } \right) \left( 0.4 ^ { 8 } \right) }$

A) 0.1
B) 0.4
C) 1
D) 10

Question 61

Evaluate the following expression and round the result to the nearest hundredth. $\frac { ( 0.7 ) ^ { 2 } - ( 0.3 ) ^ { 2 } } { 0.473 + 0.4 }$

A) 0.48
B) 0.61
C) 0.46
D) 0.97
E) 0.31

Question 62

Divide and round to the nearest tenth. $- 5.833 \div 7.5$

A) -0.7
B) -0.3
C) -1.0
D) -0.9
E) -0.8

Question 63

Estimate the quotient: $634.853 \div 73.046$

A) 9
B) 10
C) 8
D) 11

Question 64

Divide and round your answer to the nearest tenth.

Question 65

Divide and round your answer to the nearest hundredth.

A) 3.05
B) 3.45
C) 3.95
D) 2.84
E) 2.95
F) 2.85

Question 66

Three years after opening an account that paid 6.45% annually, a depositor withdrew the $3,096 in interest earned. How much money was left in the account?

A) $19,000
B) $16,000
C) $15,000
D) $20,000
E) $14,000

Question 67

Divide.

Question 68

Perform the following division mentally. $- 7.829 \div 100$

A) -0.007829
B) 78.29
C) -0.07829
D) 782.9
E) -0.7829

Question 69

Divide and round your answer to the nearest hundredth.

A) 13.88
B) 14.48
C) 13.98
D) 14.08
E) 14.98

Question 70

Estimate the quotient: $71,970.62 \div 792.637$

A) 100
B) 80
C) 90
D) 110

Question 71

A meat slicer is designed to make slices that are 0.04 inches thick. If a sausage is 10 inches long, how many slices will result?

A) 251
B) 246
C) 248
D) 255
E) 250

Question 72

Estimate the quotient: $998.24 \div 15.832$

A) 60
B) 50
C) 40
D) 70

Question 73

Divide and round your answer to the nearest tenth. $- 5.693 \div 5.9$

A) -0.5
B) -0.9
C) -1.1
D) -1.0
E) -1.2

Question 74

Use a calculator to evaluate the following expression. Round your answer to the nearest hundredth.
$\frac { 0.71 + ( - 3.19 ) ( 7.2 ) ^ { 3 } } { 0.7249 }$

A) -1,641.44
B) -1,641.49
C) -1,641.64
D) -1,641.03
E) -1,641.54

Question 75

To start a mobile dog-grooming service, a woman borrowed $2,400. If the loan was for 2 years and the amount of interest was $120, what simple interest rate was she charged?

A) 2.1%
B) 2.5%
C) 2.8%
D) 2.3%
E) 2.4%

Question 76

Perform the following division mentally.

Question 77

Divide and round the result to the nearest tenth.

Question 78

Divide. $( - 59.15 ) \div ( - 7 )$

A) 8.95
B) 8.4
C) 9.45
D) 8.35
E) 8.45

Question 79

A hiker walks 2.6 miles an hour. Her trail is 20.8 miles long. Use the illustration given below to determine when the hiker will arrive.
__________

Question 80

A volume control is shown in the illustration below. If the distance between the low and high settings is 15 cm, how far apart are the equally spaced volume settings?
__________ cm