Name: ________________________ Class: ___________________ Date: __________
ID: A
Decimals
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Estimate 53.8 + 13.8 by rounding to the nearest integer.
a. 41
c. 68
b. 67
d. 40
____
2. Use compatible numbers to estimate –25.46 • 18.73.
c. –600
a. –500
b. –5
d. 600
____
3. Use compatible numbers to estimate 40.7 ÷ (–4.4).
a. 200
c. –200
b. 8
d. –8
____
4. A science project is graded in five different areas. When Maria received her point sheet, she calculated the
total number of points she received for the project and got the total 458 points. Use estimation to check
whether her calculation is reasonable.
Area
Points
A
92.52
B
88.82
C
97.07
D
92.54
E
85.91
a.
reasonable
b.
not reasonable
____
5. Add. Estimate to check whether the answer is reasonable.
31.9 + 6.9
a. 38.7
c. 3.88
b. 3.87
d. 38.8
____
6. Subtract. Estimate to check whether the answer is reasonable.
91.4 − 87.7
a. 3.71
c. 179.1
b. 179
d. 3.7
____
7. Mr. Romito is a bus driver. He drove the Maple Hills Senior Citizen Group on a 2-day motor trip through
upstate New York. On the first day, he drove 433.4 miles. On the second day, he drove 347.9 miles. How
many more miles did he drive the first day than the second day?
a. 8.55 miles
c. 85.4 miles
b. 855 miles
d. 85.5 miles
1
Name: ________________________
ID: A
____
8. Two pounds of corned beef cost $14.91, and a package of cabbage cost $3.34. What is the total cost of the
corned beef and the cabbage?
a. $18.35
c. $1.83
b. $18.25
d. $182.50
____
9. Multiply.
–4.46 • 11
a. –49.06
b. –4.906
c.
d.
–48.96
–4.896
____ 10. Multiply. Estimate to check whether the answer is reasonable.
6.1 • (–15.8)
a. –96.38
c. –96.28
b. –9.628
d. –9.638
____ 11. The average yearly rainfall in Lakeview is 21.55 inches. What is the total amount of rainfall in inches in
Lakeview in 5.75 years?
a. 12.39125 inches
c. 1,239.125 inches
b. 27.3 inches
d. 123.9125 inches
____ 12. Divide. Estimate to check whether your answer is reasonable.
33.208 ÷ 4
a. 8.302
c. 8.802
b. 29.208
d. 0.12
____ 13. Mrs. Feng’s science class needs to collect $52.00 to purchase a hamster, food, and bedding. In addition, the
class will need $57.46 for the hamster’s cage and supplies. If there are 26 students in the class, what is the
average amount each student needs to collect?
a. $31.46
c. $4.21
b. $109.46
d. $42.10
____ 14. Divide.
–38.1171 ÷ (–18.151)
a. 2.1
b. 0.21
c.
d.
–21
–2.1
____ 15. Divide. Estimate to check whether the answer is reasonable.
76 ÷ (–3.8)
a. –2
c. –20
b. 200
d. 20
2
Name: ________________________
ID: A
____ 16. Mr. and Mrs. Nozaki are moving from Riverside to Prarieton. The distance from their old house to their new
house is 1128.85 miles. If their car gets 21.1 miles per gallon, how many gallons of gas will they need for the
trip?
a. 54.5 gallons
c. 53.4 gallons
b. 5.35 gallons
d. 53.5 gallons
____ 17. Solve p + 12.517 = 1.57.
a. p = 1.4087
b. p = –1.0947
y
= 3.1.
−22.3
y = –19.2
y = –69.13
c.
d.
p = –10.947
p = 14.087
c.
d.
y = 69.13
y = –691.3
c.
d.
s = –4.3
s = –1.584
____ 18. Solve
a.
b.
____ 19. Solve −0.48s = −2.064.
a. s = 4.3
b. s = 43
____ 20. Kristi had $7.00 when she went to the store. When she got back, she had $2.39. How much did she spend?
a. $4.43
c. $9.39
b. $6.76
d. $4.61
____ 21. Gravity on Mars is about 0.377 times gravity on Earth. If an object weighs 9.052 kg on Mars, how much does
it weigh on Earth? Round your answer to the nearest thousandth.
a. 24.011 kg
c. 240.106 kg
b. 3.413 kg
d. 9.429 kg
Short Answer
22. A kangaroo jumps 8.4 feet and then 7.7 feet. How far has it jumped?
23. A stick of gum is 2.6 cm long.
a.
How long is it if it is stretched to 1.7 times its initial length?
b.
It’s stretched to 2.3 times its initial length before it breaks. How long is it then?
24. If 6 people together weigh 938.5 pounds, what is their average weight?
25. A hockey team scores 3 goals in the first 17.4 minutes of the game. On average, how much time elapsed
between goals?
3
Name: ________________________
ID: A
26. A shirt costs $16.74.
a.
How much change should you receive if you give the cashier $20.99? Show your
work.
b.
How much change should you receive if the shirt is on sale for only $14.46 and you
give the cashier $20.99? Show your work.
4
ID: A
Decimals
Answer Section
MULTIPLE CHOICE
1. ANS: C
To round to the nearest integer, look at the digit in the tenths place. If it is greater than or equal to 5, round to
the next integer. If it is less than 5, keep the same integer.
53.8 + 13.8 ≈ 54 + 14 = 68
Feedback
A
B
C
D
Perform the correct operation.
To round to the nearest integer, look at the digit in the tenths place. If it is greater than
or equal to 5, round to the next integer. If it is less than 5, keep the same integer.
Correct!
Perform the correct operation.
PTS: 1
DIF: Basic
REF: Page 150
OBJ: 3-1.1 Estimating Sums and Differences of Decimals
NAT: 8.1.2.b
TOP: 3-1 Estimate with Decimals
KEY: decimal | difference | estimate | sum
2. ANS: A
Round each number to the nearest nonzero integer or to a number that is easy to multiply.
–25.46 • 18.73 ≈ –25 • 20 = –500
Feedback
A
B
C
D
Correct!
Multiply, not add.
Round each number to the nearest nonzero integer or to a number that is easy to
multiply, and then multiply.
Check the signs.
PTS: 1
DIF: Average
REF: Page 151
OBJ: 3-1.2 Estimating Products and Quotients of Decimals
NAT: 8.1.2.b
TOP: 3-1 Estimate with Decimals
KEY: decimal | estimate | product | quotient
3. ANS: D
Round the numbers so that they divide without leaving a remainder.
40.7 ÷ (–4.4) ≈ 40 ÷ (–5) = –8
Feedback
A
B
C
D
Round the numbers so that they divide without leaving a remainder, and then divide.
Check the signs.
Perform the correct operation.
Correct!
PTS: 1
DIF: Average
REF: Page 151
OBJ: 3-1.2 Estimating Products and Quotients of Decimals
NAT: 8.1.2.b
TOP: 3-1 Estimate with Decimals
KEY: decimal | estimate | product | quotient
1
ID: A
4. ANS: A
An estimate can help you decide whether Maria’s calculation is reasonable.
To estimate, round each number to the nearest whole number. Then, add.
The estimate 93 + 89 + 97 + 93 + 86 = 458 is equivalent to Maria’s calculation, so 458 is a reasonable
answer.
Feedback
Correct!
To estimate, round each number to the nearest whole number.
A
B
PTS: 1
DIF: Average
REF: Page 151
NAT: 8.1.3.g
TOP: 3-1 Estimate with Decimals
5. ANS: D
Line up the decimal points, and then add.
31.9
OBJ: 3-1.3 Application
KEY: decimal | estimate | quotient | sum
+ 6.9
38.8
Feedback
A
B
C
D
Check your calculations.
Line up the decimal points, and then add.
Place the decimal point in the correct location.
Correct!
PTS: 1
DIF: Basic
REF: Page 154
OBJ: 3-2.1 Adding Decimals
NAT: 8.1.3.a
TOP: 3-2 Adding and Subtracting Decimals
KEY: addition | decimal
6. ANS: D
Line up the decimal points, and then subtract. If necessary, use zeros as placeholders and/or regroup.
91.4
− 87.7
3.7
Feedback
A
B
C
D
Check your calculations.
Line up the decimal points, and then subtract.
Perform the correct operation.
Correct!
PTS: 1
DIF: Average
REF: Page 155
OBJ: 3-2.2 Subtracting Decimals
NAT: 8.1.3.a
TOP: 3-2 Adding and Subtracting Decimals
KEY: decimal | subtraction
2
ID: A
7. ANS: D
Line up the decimal points, and then subtract. If necessary, regroup.
433.4
− 347.9
85.5
Mr. Romito drove 85.5 miles more miles on the first day than on the second day.
Feedback
A
B
C
D
Line up the decimal points, and then subtract.
Place the decimal point in the correct location.
Check your calculations.
Correct!
PTS: 1
DIF: Average
REF: Page 155
OBJ: 3-2.3 Application
NAT: 8.1.3.g
TOP: 3-2 Adding and Subtracting Decimals
KEY: addition | decimal | subtraction
8. ANS: B
Line up the decimal points, and then add.
14.91
+ 3.34
18.25
The corned beef and the cabbage cost $18.25.
Feedback
A
B
C
D
Check your calculations.
Correct!
Line up the decimal points, and then add.
Place the decimal point in the correct location.
PTS: 1
DIF: Average
REF: Page 155
OBJ: 3-2.3 Application
NAT: 8.1.3.g
TOP: 3-2 Adding and Subtracting Decimals
KEY: addition | decimal | subtraction
3
ID: A
9. ANS: A
Multiply the numbers. The product should have the same number of decimal places as the sum of the decimal
places in the factors.
Feedback
A
B
C
D
Correct!
Place the decimal point in the correct location.
First, multiply the numbers. Then, place the decimal point in the correct location.
First, multiply the numbers. Then, place the decimal point in the correct location.
PTS: 1
DIF: Basic
REF: Page 160
OBJ: 3-3.1 Multiplying Integers by Decimals
NAT: 8.1.3.a
TOP: 3-3 Multiplying Decimals
KEY: decimal | integers | multiplication
10. ANS: A
Multiply the numbers. The product should have the same number of decimal places as the sum of the decimal
places in the factors.
Feedback
A
B
C
D
Correct!
First, multiply the numbers. Then, place the decimal point in the correct location.
First, multiply the numbers. Then, place the decimal point in the correct location.
Place the decimal point in the correct location.
PTS: 1
DIF: Average
REF: Page 161
OBJ: 3-3.2 Multiplying Decimals by Decimals
NAT: 8.1.3.a
TOP: 3-3 Multiplying Decimals
KEY: decimal | multiplication
11. ANS: D
Multiply the average yearly rainfall by the number of years. The product should have the same number of
decimal places as the sum of the decimal places in the factors.
The total amount of rainfall in Lakeview in 5.75 years is 123.9125 inches.
Feedback
A
B
C
D
The product should have the same number of decimal places as the sum of the decimal
places in the factors.
Multiply the average yearly rainfall by the number of years.
First, multiply the numbers. Then, place the decimal point in the correct location.
Correct!
PTS: 1
NAT: 8.1.3.g
DIF: Average
REF: Page 161
TOP: 3-3 Multiplying Decimals
4
OBJ: 3-3.3 Application
KEY: decimal | multiplication
ID: A
12. ANS: A
Divide as with whole numbers. Place the decimal point in the quotient directly above the decimal point in the
dividend.
8.302
4 33.208
Feedback
A
B
C
D
Correct!
Perform the correct operation.
Check your calculations.
First, divide as with whole numbers. Then, place the decimal point in the quotient
directly above the decimal point in the dividend.
PTS: 1
DIF: Basic
REF: Page 166
OBJ: 3-4.1 Dividing Decimals by Integers
NAT: 8.1.3.a
TOP: 3-4 Dividing Decimals by Integers KEY: decimal | division | integers
13. ANS: C
Step 1 Find the total cost.
$52.00 + $57.46 = $109.46
Step 2 Divide by the number of students. Place the decimal point in the quotient directly above the decimal
point in the dividend.
4.21
26 109.46
Each student needs to collect $4.21.
Feedback
A
B
C
D
Find the total cost first.
First, find the total cost. Then, divide by the number of students.
Correct!
Place the decimal point in the correct location.
PTS: 1
NAT: 8.1.3.g
DIF: Average
REF: Page 167
TOP: 3-4 Dividing Decimals by Integers
5
OBJ: 3-4.2 Application
KEY: decimal | division | integers
ID: A
14. ANS: A
Multiply both numbers by the least power of 10 that will make the divisor an integer. Divide as with whole
numbers. Place the decimal point in the quotient directly above the decimal point in the dividend.
Feedback
A
B
C
D
Correct!
Place the decimal point in the correct location.
Multiply both numbers by the least power of ten that will make the divisor an integer.
Then, divide as with whole numbers.
Check the signs.
PTS: 1
DIF: Basic
REF: Page 170
OBJ: 3-5.1 Dividing Decimals by Decimals
NAT: 8.1.3.a
TOP: 3-5 Dividing Decimals and Integers by Decimals
KEY: decimal | division
15. ANS: C
Multiply both numbers by the least power of ten that will make the divisor an integer. Divide as with whole
numbers. Place the decimal point in the quotient directly above the decimal point in the dividend.
Feedback
A
B
C
D
Place the decimal point in the correct location.
Multiply both numbers by the least power of ten that will make the divisor an integer.
Then, divide as with whole numbers.
Correct!
Check the signs.
PTS: 1
DIF: Average
REF: Page 171
OBJ: 3-5.2 Dividing Integers by Decimals
NAT: 8.1.3.a
TOP: 3-5 Dividing Decimals and Integers by Decimals
KEY: decimal | division | integers
16. ANS: D
Divide the number of miles traveled by the number of miles per gallon the car gets.
Mr. and Mrs. Nozaki will need 53.5 gallons of gas.
Feedback
A
B
C
D
Check your calculations.
Place the decimal point in the correct location.
Divide the number of miles traveled by the number of miles per gallon the car gets.
Correct!
PTS: 1
DIF: Average
REF: Page 171
OBJ: 3-5.3 Application
NAT: 8.1.3.g
TOP: 3-5 Dividing Decimals and Integers by Decimals
KEY: decimal | division | integers
6
ID: A
17. ANS: C
p + 12.517 = 1.57
p + 12.517 − 12.517 = 1.57 − 12.517
p = –10.947
Subtract to isolate p.
Feedback
A
B
C
D
Add to undo subtraction. Subtract to undo addition.
Substitute the solution into the original equation to check your answer.
Correct!
Perform the same operation on both sides of the equation to isolate the variable.
PTS:
OBJ:
TOP:
KEY:
18. ANS:
y
−22.3
1
DIF: Basic
REF: Page 174
3-6.1 Solving Equations by Adding or Subtracting
3-6 Solving Equations Containing Decimals
addition | decimal | equation | solving | subtraction
B
NAT: 8.5.4.a
= 3.1
y
= 3.1(−22.3)
−22.3
y = –69.13
(−22.3)
Multiply to isolate y.
Feedback
A
B
C
D
Multiply to undo the division.
Correct!
Check the signs.
Substitute the solution into the original equation to check your answer.
PTS:
OBJ:
TOP:
KEY:
1
DIF: Average
REF: Page 174
3-6.2 Solving Equations by Multiplying or Dividing
3-6 Solving Equations Containing Decimals
decimal | division | equation | multiplication | solving
7
NAT: 8.5.4.a
ID: A
19. ANS: A
−0.48s −2.064
=
−0.48
−0.48
s = 4.3
Divide to isolate s.
Feedback
A
B
C
D
Correct!
Place the decimal point in the correct location.
Check the signs.
Divide to undo the multiplication.
PTS: 1
DIF: Average
REF: Page 174
OBJ: 3-6.2 Solving Equations by Multiplying or Dividing
TOP: 3-6 Solving Equations Containing Decimals
KEY: decimal | division | equation | multiplication | solving
20. ANS: D
initial amount
–
amount spent
=
–
x
=
7.00
7.00 – x = 2.39
7.00 – x – 7.00 = 2.39 – 7.00
–x = –4.61
x = 4.61
NAT: 8.5.4.a
amount remaining
2.39
Subtract to isolate x.
Kristi spent $4.61.
Feedback
A
B
C
D
Set up an equation and solve.
You can solve an equation by performing the same operation on both sides of the
equation to isolate the variable.
Set up an equation and solve.
Correct!
PTS: 1
DIF: Average
REF: Page 175
OBJ: 3-6.3 Problem-Solving Application
NAT: 8.1.3.g
TOP: 3-6 Solving Equations Containing Decimals
KEY: decimal | equation | multiplication | solving | subtraction
8
ID: A
21. ANS: A
weight on Earth
w
•
•
gravity rate
0.377
=
=
weight on Mars
9.052
Divide to isolate w.
w (0.377) = 9.052
w (0.377) 9.052
=
0.377
0.377
w ≈ 24.011
The object weighs about 24.011 kg on Earth.
Feedback
A
B
C
D
Correct!
Use inverse operations to solve the equation.
Set up an equation and solve.
Set up an equation and solve.
PTS: 1
DIF: Average
REF: Page 175
OBJ: 3-6.3 Problem-Solving Application
NAT: 8.1.3.g
TOP: 3-6 Solving Equations Containing Decimals
KEY: decimal | equation | multiplication | solving | subtraction
SHORT ANSWER
22. ANS:
16.1 feet
8.4 + 7.7 = 16.1
Scoring Rubric:
4
The solution is correct, and all of the work is shown as above.
or
A different logical method is used to find the correct solution.
3
The solution is correct, but not all of the work is shown.
2
The solution is incorrect, but the work shows understanding of the concept.
1
The solution is incorrect, and the work shows no understanding of the concept.
PTS: 1
DIF: Average
REF: Page 155
OBJ: 3-2.3 Application
NAT: 8.1.3.a
TOP: 3-2 Adding and Subtracting Decimals
KEY: addition | decimal
9
ID: A
23. ANS:
a.
4.42 cm
2.6 × 1.7 = 4.42
b.
5.98
2.6 × 2.3 = 5.98
Scoring Rubric:
4
The solution is correct, and all of the work is shown as above.
or
A different logical method is used to find the correct solution.
3
Both solutions are correct, but not all of the work is shown.
2
The solution for part a is correct, but the solution for part b is incorrect.
or
The solution for part a is incorrect, but the work for part b is correct.
1
Both solutions are incorrect, and the work shows no understanding of the concept.
PTS: 1
NAT: 8.1.3.a
24. ANS:
156.416 pounds
DIF: Average
REF: Page 161
TOP: 3-3 Multiplying Decimals
OBJ: 3-3.3 Application
KEY: decimal | multiplication
938.5 ÷ 6 = 156.416
Scoring Rubric:
4
The solution is correct, and all of the work is shown as above.
or
A different logical method is used to find the correct solution.
3
The solution is correct, but not all of the work is shown.
2
The solution is incorrect, but the work shows understanding of the concept.
1
The solution is incorrect, and the work shows no understanding of the concept.
PTS: 1
NAT: 8.1.3.a
DIF: Average
REF: Page 167
TOP: 3-4 Dividing Decimals by Integers
10
OBJ: 3-4.2 Application
KEY: decimal | division
ID: A
25. ANS:
5.8 minutes
17.4 ÷ 3 = 5.8
Scoring Rubric:
4
The solution is correct, and all of the work is shown as above.
or
A different logical method is used to find the correct solution.
3
The solution is correct, but not all of the work is shown.
2
The solution is incorrect, but the work shows understanding of the concept.
1
The solution is incorrect, and the work shows no understanding of the concept.
PTS: 1
NAT: 8.1.3.a
26. ANS:
a
$4.25
DIF: Average
REF: Page 167
TOP: 3-4 Dividing Decimals by Integers
OBJ: 3-4.2 Application
KEY: decimal | division
20.99 = 16.74 + x
20.99 − 16.74 = 16.74 + x − 16.74
4.25 = x
b.
$6.53
20.99 = 14.46 + x
20.99 − 14.46 = 14.46 + x − 14.46
6.53 = x
Scoring Rubric:
4
The solution is correct, and all of the work is shown as above.
or
A different logical method is used to find the correct solution.
3
Both solutions are correct, but not all of the work is shown.
2
The solution for part a is correct, but the solution for part b is incorrect.
or
The solution for part a is incorrect, but the work for part b is correct.
1
Both solutions are incorrect, and the work shows no understanding of the concept.
PTS: 1
DIF: Average
REF: Page 175
OBJ: 3-6.3 Problem-Solving Application
NAT: 8.1.3.a
TOP: 3-6 Solving Equations Containing Decimals
KEY: decimal | subtraction
11
Name _______________________________________________ Date____________________
Math II Quiz
Decimals – Tom Makeup
Estimate:
1. 173.504 + 39.49
1.
2. 108.19 ÷ 8.68
2.
Simplify or Solve
3. Because he loves them sooo much, Tom bought six of his favorite
teachers tickets to the upcoming play at BFCCPS. The tickets cost
$17.50 each. How much did Tom spend on the tickets?
3.
4. Tom is downloading a file from iTunes. The size of the song is 12.75
MB. The file is downloading at the rate of 0.095 MB per second. How
many seconds will it take to download the entire file? Round your
answer to the nearest tenth of a second.
4.
5. Tom earns $9.45 per hour plus tips at his job. Last week, he worked
37.5 hours and earned $23.75 in tips. How much money did Tom earn
last week?
5.
6. Tom collects loose change in 3 cans placed in different locations
around the school. One can holds $47.44. Another can holds $44.85.
The third can holds $60.74. If Lucy divides the money equally among 3
local charities, how much money will each charity get?
6.
7. Middle school students at BFCCPS plan to run a total of 2,462 miles,
which is the distance from Los Angeles to New York City. So far, the
sixth grade has run 273.5 mi, the seventh grade has run 275.8 mi, and the
eighth grade has run 270.2 mi. How many more miles must the middle
school students run to reach their goal?
7.
8.
m
= 1 .7
11.4
8.
9. 293.92 = 17.6 p
9.
10. 19.63 + e = −12.7
10.
BONUS
How can 0011 = 3?
______________________________________________________________________________
Name: ________________________ Class: ___________________ Date: __________
ID: A
Math 2 Chapter 3 Sections 1-6
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Estimate 8.35 – 27.516 + 18.814 – 4.16 – 73.8 + 45.6 by rounding to the nearest integer.
a. 33
c. –32
b. –34
d. –33
2. Multiply. Estimate to check whether the answer is reasonable.
6.1 • (–15.8)
c. –96.28
a. –96.38
b. –9.628
d. –9.638
3. The average yearly rainfall in Lakeview is 21.55 inches. What is the total amount of rainfall in inches in Lakeview
in 5.75 years?
a. 12.39125 inches
c. 1,239.125 inches
b. 27.3 inches
d. 123.9125 inches
4. Divide. Estimate to check whether your answer is reasonable.
33.208 ÷ 4
a. 8.302
c. 8.802
b. 29.208
d. 0.12
5. Mrs. Feng’s science class needs to collect $52.00 to purchase a hamster, food, and bedding. In addition, the class
will need $57.46 for the hamster’s cage and supplies. If there are 26 students in the class, what is the average
amount each student needs to collect?
a. $31.46
c. $4.21
b. $109.46
d. $42.10
6. Divide. Estimate to check whether the answer is reasonable.
76 ÷ (–3.8)
a. –2
c. –20
b. 200
d. 20
7. Mr. and Mrs. Nozaki are moving from Riverside to Prarieton. The distance from their old house to their new house
is 1128.85 miles. If their car gets 21.1 miles per gallon, how many gallons of gas will they need for the trip?
a. 54.5 gallons
c. 53.4 gallons
b. 5.35 gallons
d. 53.5 gallons
1
Name: ________________________
8. Solve p + 12.517 = 1.57.
a. p = 1.4087
b. p = –1.0947
u
= −3.07.
16.29
u = –500.103
u = 13.22
ID: A
c.
d.
p = –10.947
p = 14.087
c.
d.
u = –50.0103
u = 50.0103
c.
d.
s = –4.3
s = –1.584
9. Solve
a.
b.
10. Solve −0.48s = −2.064.
a. s = 4.3
b. s = 43
Numeric Response
11. Lisa rode her bike an average of 18.85 kilometers per hour for 7.5 hours in the first week of her summer vacation.
In the second week, she rode her bike a distance of 34.85 kilometers. How many kilometers did Lisa ride her bike
during the first two weeks of her summer vacation?
12. A costume designer is preparing costumes for 22 dancers. She pays $373.78 for all of the materials. She also buys
gloves, that are on sale, for all the dancers. Each pair of gloves costs $4.30. How much is the costume designer’s
expense for each dancer?
13. Tameron earns $8.95 per hour for working at the movie theater. Dean’s pay per hour is $1.77 less. How much
does Dean earn per hour?
Short Answer
14. A shirt costs $16.74.
a.
How much change should you receive if you give the cashier $20.99? Show your
work.
b.
How much change should you receive if the shirt is on sale for only $14.46 and you
give the cashier $20.99? Show your work.
15. Two pounds of corned beef cost $14.91, and a package of cabbage cost $3.34. What is the total cost of the corned
beef and the cabbage?
16. Kristi had $7.00 when she went to the store. When she got back, she had $2.39. How much did she spend?
2
ID: A
Math 2 Chapter 3 Sections 1-6
Answer Section
MULTIPLE CHOICE
1. ANS: D
To round to the nearest integer, look at the digit in the tenth place. If it is greater or equal to 5, round to the next
integer. If it is less than 5, keep the same integer.
8.35 – 27.516 + 18.814 – 4.16 – 73.8 + 45.6 ≈ 8 − 28 + 19 − 4 − 74 + 46 = –33
DIF: Advanced
TOP: 3-1 Estimate with Decimals
2. ANS: A
Multiply the numbers. The product should have the same number of decimal places as the sum of the decimal
places in the factors.
DIF: Average
REF: Page 161
TOP: 3-3 Multiplying Decimals
KEY: decimal | multiplication
3. ANS: D
Multiply the average yearly rainfall by the number of years. The product should have the same number of decimal
places as the sum of the decimal places in the factors.
The total amount of rainfall in Lakeview in 5.75 years is 123.9125 inches.
DIF: Average
REF: Page 161
TOP: 3-3 Multiplying Decimals
KEY: decimal | multiplication
4. ANS: A
Divide as with whole numbers. Place the decimal point in the quotient directly above the decimal point in the
dividend.
8.302
4 33.208
DIF: Basic
REF: Page 166
KEY: decimal | division | integers
5. ANS: C
Step 1 Find the total cost.
$52.00 + $57.46 = $109.46
TOP: 3-4 Dividing Decimals by Integers
Step 2 Divide by the number of students. Place the decimal point in the quotient directly above the decimal point
in the dividend.
4.21
26 109.46
Each student needs to collect $4.21.
DIF: Average
REF: Page 167
KEY: decimal | division | integers
TOP: 3-4 Dividing Decimals by Integers
1
ID: A
6. ANS: C
Multiply both numbers by the least power of ten that will make the divisor an integer. Divide as with whole
numbers. Place the decimal point in the quotient directly above the decimal point in the dividend.
DIF: Average
REF: Page 171
TOP: 3-5 Dividing Decimals and Integers by Decimals
KEY: decimal | division | integers
7. ANS: D
Divide the number of miles traveled by the number of miles per gallon the car gets.
Mr. and Mrs. Nozaki will need 53.5 gallons of gas.
DIF: Average
REF: Page 171
KEY: decimal | division | integers
8. ANS: C
p + 12.517 = 1.57
p + 12.517 − 12.517 = 1.57 − 12.517
p = –10.947
DIF:
KEY:
9. ANS:
u
16.29
TOP: 3-5 Dividing Decimals and Integers by Decimals
Subtract to isolate p.
Basic
REF: Page 174
TOP: 3-6 Solving Equations Containing Decimals
addition | decimal | equation | solving | subtraction
C
= −3.07
u
= −3.07(16.29)
16.29
u = –50.0103
(16.29)
Multiply to isolate u.
DIF: Average
REF: Page 174
TOP: 3-6 Solving Equations Containing Decimals
KEY: decimal | division | equation | multiplication | solving
10. ANS: A
−0.48s −2.064
=
−0.48
−0.48
Divide to isolate s.
s = 4.3
DIF: Average
REF: Page 174
TOP: 3-6 Solving Equations Containing Decimals
KEY: decimal | division | equation | multiplication | solving
NUMERIC RESPONSE
11. ANS: 176.225
DIF:
Advanced
TOP: 3-3 Multiplying Decimals
2
KEY: multi-step
ID: A
12. ANS: $21.29
DIF: Advanced
13. ANS: $7.18
DIF:
Average
TOP: 3-4 Dividing Decimals by Integers
KEY: multi-step
TOP: 3-6 Solving Equations Containing Decimals
SHORT ANSWER
14. ANS:
a
$4.25
20.99 = 16.74 + x
20.99 − 16.74 = 16.74 + x − 16.74
4.25 = x
b.
$6.53
20.99 = 14.46 + x
20.99 − 14.46 = 14.46 + x − 14.46
6.53 = x
Scoring Rubric:
4
The solution is correct, and all of the work is shown as above.
or
A different logical method is used to find the correct solution.
3
Both solutions are correct, but not all of the work is shown.
2
The solution for part a is correct, but the solution for part b is incorrect.
or
The solution for part a is incorrect, but the work for part b is correct.
1
Both solutions are incorrect, and the work shows no understanding of the concept.
DIF: Average
REF: Page 175
KEY: decimal | subtraction
15. ANS:
$18.25
Line up the decimal points, and then add.
14.91
TOP: 3-6 Solving Equations Containing Decimals
+ 3.34
18.25
The corned beef and the cabbage cost $18.25.
DIF: Average
REF: Page 155
KEY: addition | decimal | subtraction
TOP: 3-2 Adding and Subtracting Decimals
3
ID: A
16. ANS:
$4.61
initial amount
7.00
–
–
7.00 – x = 2.39
7.00 – x – 7.00 = 2.39 – 7.00
–x = –4.61
x = 4.61
amount spent
x
=
=
amount remaining
2.39
Subtract to isolate x.
Kristi spent $4.61.
DIF: Average
REF: Page 175
TOP: 3-6 Solving Equations Containing Decimals
KEY: decimal | equation | multiplication | solving | subtraction
4