Resources

Resources

Add and subtract decimals: word problems

Pamela drove her car

99

kilometers and used

9

liters of fuel. She wants to know how many kilometers

(k)

she can drive with

12

liters of fuel. She assumes the relationship between kilometers and fuel is proportional.

\newline

How many kilometers can Pamela drive with

12

liters of fuel?

\newline

\square

\mathrm{km}

Pamela drove her car

99

kilometers and used

9

liters of fuel. She wants to know how many kilometers

(k)

she can drive with

12

liters of fuel. She assumes the relationship between kilometers and fuel is proportional.

\newline

How many kilometers can Pamela drive with

12

liters of fuel?

\newline

\square

\mathrm{km}

Orla and Eduardo each looked at a strand of their hair under a microscope and measured the diameter. Orla's strand was

0.005

in diameter, and Eduardo's strand was

0.012

in diameter. How much greater was the diameter of Eduardo's hair?

0.31

inches on Monday. On Tuesday, it rained

0.21

inches less than on Monday. How much did it rain on Tuesday?

\newline

\newline

0.12

\newline

0.13

\newline

0.10

\newline

0.11

A bee colony produced

0.27

pounds of honey, but bears ate

0.04

pounds of it. How much honey remains?

\newline

\newline

0.13

\newline

0.23

\newline

0.22

\newline

0.20

Marie got on a train and rode for

9.23

miles. Then she switched to a different train and rode for

4.81

miles. How far did Marie ride in all?

\newline

\newline

15.04

\newline

14.04

\newline

14.05

\newline

14.14

Rick weighed two buckets of sand for a geology project. The first bucket weighed

4.39

pounds. The other bucket weighed

8.47

pounds. How much do the two buckets of sand weigh all together?

\newline

\newline

12.88

\newline

12.86

\newline

12.82

\newline

11.86

Carla bought two rolls of tape. The first roll had

5.29

meters of tape and the second roll had

9.32

meters of tape. How many meters of tape did Carla buy in all?

\newline

\newline

13.61

\newline

14.61

\newline

15.61

\newline

14.68

1.95

pounds of potatoes and

2.66

pounds of carrots. How many pounds of vegetables did he buy in all?

\newline

\newline

\_\_\_\_

A carpenter bought a piece of wood that was

6.19

centimeters long. Then he sawed

3.76

centimeters off the end. How long is the piece of wood now?

\newline

_____ centimeters

A truck carrying

6.8

pounds of sand travels to a construction yard and loses

4.2

pounds of sand along the way. How much sand does the truck have when it arrives at the yard?

\newline

\_\_\_\_

3.3

pounds of peanuts and

8.4

pounds of raisins. How many pounds of snacks did he buy in all?

\newline

0.8

inches on Saturday and

0.1

inches on Sunday. How much did it rain on Saturday and Sunday combined?

\newline

\newline

\_\_\_\_

Valentina bought

0.8

kilograms of apples and

0.9

kilograms of oranges. How much fruit did she buy in all?

\newline

\newline

\_\_\_\_

Sofia's batting average is

0.022

higher than Joud's batting average. Joud has a batting average of

0.169

\newline

What is Sofia's batting average?

\newline

Grandpa Ernie is shrinking! Over the past

4

years, his height decreased by a total of

2.4 \mathrm{~cm}

. It decreased by the same amount each year.

\newline

What was the change in Grandpa Ernie's height each year?

\newline

\mathrm{cm}

Benjamin is riding a unicycle. The tire of his unicycle has a circumference of

2.8 \mathrm{~m}

, and the tire revolves

1

5

times per second.

\newline

What is the distance Benjamin travels in

100

\newline

\square

A piece of paper is to display

150

square inches of text. If there are to be one-inch margins on the sides and the top and a two-inch margin at the bottom, what are the dimensions of the smallest piece of paper that can be used?

\newline

1

\newline

6 \prime \prime \times 25 \prime \prime

\newline

10 \prime \prime \times 15 \prime \prime

\newline

12 \prime \prime \times 18 \prime \prime

\newline

15 \prime \prime \times 18 \prime \prime

\newline

(E) None of these

\newline

\mathrm{U}=1,2,3,4,8,10,11

\newline

=1,2,3,4,11

\newline

What is the complement of Set B in Set U?

\newline

\{1,2,3,4,8,10,11\}

\newline

\{1,4,8,11\}

\newline

\{8,10\}

\newline

\{1,2,3,4,11\}

\newline

\mathrm{A}=1,3,4,5,7,9,11

\newline

B=1,2,3,6,8,9

\newline

What is the union of sets A and B?

\newline

\{1,2,3,4,5,6,8\}

\newline

\{1,3,9\}

\newline

\{1,2,3,4,5,6,7,8,9,11\}

\newline

\{4,5,7,11\}

To visit his grandmother, Michael takes a motorcycle

3

85

kilometers and a horse

3

32

kilometers. In total, the journey takes

50

54

\newline

How many kilometers is Michael's journey in total?

\newline

_________kilometers

3

cars that in total weigh

4.178

A

145 \, \text{kgs}

B

C

260\,\text{kgs}

B

. How much does car

B

weigh in tonnes?

Audrey can use her laptop in energy-saving battery mode for seven hours. In regular battery mode, her laptop can be used for five hours. Audrey used her laptop for three hours in energy-saving battery mode. How many more hours can she use it in regular battery mode?

\newline

2

1 / 7

\newline

2

4 / 5

\newline

2

6 / 7

\newline

4

1 / 5

A piece of paper is to display

150

square inches of text. If there are to be one-inch margins on the sides and the top and a two-inch margin at the bottom, what are the dimensions of the smallest piece of paper that can be used?

\newline

1

\newline

6 \prime \prime \times 25 \prime \prime

\newline

10 \prime \prime \times 15 \prime

\newline

12 \prime \times 18 \prime

\newline

15 \prime \times 18 \prime

\newline

(E) None of these

A study suggests that

75\%

of household solid waste can be recycled. However, the average person only recycles

30\%

of his or her solid waste. If the average person produces

4.5

pounds of solid waste a day, approximately how many more pounds of solid waste could be recycled compared to the amount they currently recycle?

\newline

1

\newline

1.35

\newline

2.03

\newline

3.38

\newline

11.25

A scale on a hiking map shows that

3

inches represents

1

25

\newline

What number of inches on the map represent

10

\newline

Osvoldo has a goal of getting at least

30 \%

of his grams of carbohydrates each day from whole grains. Today, he ate

220

grams of carbohydrates, and

55

grams were from whole grains.

\newline

Did Osvoldo meet his goal? Why?

\newline

yes / no , Osvoldo ate

\square

grams of whole grains more / less than his goal.

Farmer Holstein weighed each of his cows. He found that Jo weighs

711

kilograms, Marty weighs

533

kilograms, and Jennifer weighs

664

\newline

Find the mean weight.

\newline

\mathrm{kg}

To visit her grandmother, Jessica takes a horse

3

31

kilometers and a motorcycle

1

\newline

How many kilometers is Jessica's journey in total?

\newline

To visit her grandmother, Melek takes a motorcycle

3

8

kilometers and a horse

3

32

kilometers. In total, the journey takes

50

54

\newline

How many kilometers is Melek's journey in total?

\newline

Orla and Eduardo each looked at a strand of their hair under a microscope and measured the diameter. Orla's strand was

0.005 \mathrm{~cm}

in diameter, and Eduardo's strand was

0.012 \mathrm{~cm}

\newline

How much greater was the diameter of Eduardo's hair?

\newline

Kylie has a modern quarter with a mass of

5.623 \mathrm{~g}

and an older silver quarter with a mass of

6.24 \mathrm{~g}

\newline

What is the combined mass of the quarters?

\newline

Darragh has a Golden Eagle coin in his collection with a mass of

13.551 \mathrm{~g}

. An uncirculated Golden Eagle coin has a mass of

13.714 \mathrm{~g}

\newline

How much mass has Darragh's coin lost?

\newline

During a recent rainstorm,

8

centimeters of rain fell in Dubaku's hometown, and

2

36

centimeters of rain fell in Elliot's hometown. During the same storm,

15

19

centimeters of snow fell in Alperen's hometown.

\newline

How much more rain fell in Dubaku's town than in Elliot's town?

\newline

To get to school each morning, Vanessa takes a horse

19

33

kilometers and a train

2

27

kilometers. In total, the journey takes

26

48

\newline

How many kilometers is Vanessa's journey in total?

\newline

To visit his grandmother, Michael takes a motorcycle

3

85

kilometers and a horse

3

32

kilometers. In total, the journey takes

50

54

\newline

How many kilometers is Michael's journey in total?

\newline

Himari gave birth to twins and named them Adrian and Chang. When they were first born, Adrian massed

2

87

kilograms and was

54

5

centimeters tall, and Chang massed

4

54

kilograms and was

51

centimeters tall.

\newline

How much did the babies mass in total?

\newline

To visit his grandmother, Luis takes a train

6

37

kilometers and a car

5

45

\newline

How many kilometers is Luis's journey in total?

\newline

To get to work each morning, Emily takes a horse

10

98

kilometers and a bike

4

06

\newline

How many kilometers is Emily's journey in total?

\newline

After a special medicine is introduced into a petri dish full of bacteria, the number of bacteria remaining in the dish decreases rapidly.

\newline

The relationship between the elapsed time

t

, in seconds, and the number of bacteria,

B_{\text {second }}(t)

, in the petri dish is modeled by the following function:

\newline

B_{\text {second }}(t)=6000 \cdot\left(\frac{15}{16}\right)^{t}

\newline

Complete the following sentence about the rate of change in the number of bacteria in minutes. Round your answer to two decimal places.

\newline

Every minute, the number of bacteria decays by a factor of

2 \frac{3}{5} \mathrm{~kg}

of bird seed in his large feeder. This is

1 \frac{3}{10}

times as much seed as he puts in his smaller feeder.

\newline

How much bird seed does Chidi put in his smaller feeder?

\newline

\mathrm{kg}

Benji's flight from Chicago to San Jose took

0

5

hour longer than his return flight from San Jose to Chicago. If Benji's flight from Chicago to San Jose was

4

5

hours long, how long was his return flight, in hours?

\newline

1

\newline

3

5

\newline

4

\newline

4

5

\newline

5

Last month, Margo bought a tree that grows

2.5 \mathrm{~cm}

each day. It was

5 \mathrm{~cm}

tall when she bought it and now it is

65 \mathrm{~cm}

tall. How many days has Margo owned the plant?