Name:
Class:
Date:
Unit 02 PC Form E
1.
(2.2) Use pencil and paper to answer the question.
Solve using the partial-sums addition method. Show your work.
________
ANSWER:
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1,303
Page 1
Name:
Class:
Date:
Unit 02 PC Form E
2.
(2.2, 2.3, 2.4) Use pencil and paper to answer the question.
Solve at least one problem using the partial-sums addition method and at least one problem using
the trade-first subtraction method. Use any method you want to solve the rest of the problems.
Show your work.
a.
________
b.
c.
________
d.
e.
________
f.
________
________
________
ANSWER:
a.
c.
e.
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1,234
164.97
64.8
b.
d.
f.
159.2
528
33.83
Page 2
Name:
Class:
Date:
Unit 02 PC Form E
3.
(2.2) Use pencil and paper to answer the question.
Solve using any addition method. Show your work.
________
ANSWER:
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355.4
Page 3
Name:
Class:
Date:
Unit 02 PC Form E
4.
(2.2) Use pencil and paper to answer the question.
Solve using any addition method. Show your work.
________
ANSWER:
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180.66
Page 4
Name:
Class:
Date:
Unit 02 PC Form E
5.
(2.3) Use pencil and paper to answer the question.
Solve using the trade-first subtraction method. Show your work.
________
ANSWER:
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628
Page 5
Name:
Class:
Date:
Unit 02 PC Form E
6.
(2.3) Use pencil and paper to answer the question.
Solve using any subtraction method. Show your work.
________
ANSWER:
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155.7
Page 6
Name:
Class:
Date:
Unit 02 PC Form E
7.
(2.3) Use pencil and paper to answer the question.
Solve using any subtraction method. Show your work.
________
ANSWER:
47.68
8. (2.4) Students were studying a map of Japan. The map legend stated that 1 inch = 400 miles. They
measured the distance between two cities.
It was 1 inches. About how many miles apart were the two cities?
_________ miles
ANSWER:
9.
500
(2.1) Use pencil and paper to answer the question.
Fill in the blanks.
Brian walked 1,800 feet to the corner store. He told his friend, "I just walked
________ inches to the store. And that was just one way!" His friend replied,
"That's not very far. It's only ________ yards."
ANSWER:
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21,600 inches
600 yards
Page 7
Name:
Class:
Date:
Unit 02 PC Form E
10.
(2.2, 2.5, 2.7, 2.10) Use pencil and paper to answer the question.
Write the number that has
7 in the ones place,
8 in the hundreds place,
1 in the ten-thousands place,
3 in the tenths place,
and 5 in the remaining places.
____ ____ , ____ ____ ____ . ____ ____ ____
ANSWER:
11.
15,857.355
(2.7, 2.8, 2.9) Use pencil and paper to answer the question.
Identify the errors in the following problem and correct them.
ANSWER:
12.
Answer:
The partial-product 60 should be 600.
The final result 562 should be 1,102.
(2.7, 2.8, 2.9) Use pencil and paper to answer the question.
Identify the errors in the following problems and correct them.
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Page 8
Name:
Class:
Date:
Unit 02 PC Form E
a.
b.
c. Choose one of the problems above, and explain why making a magnitude estimate of the
answer before solving the problem is helpful.
__________________________________________________________
__________________________________________________________
ANSWER:
a. Errors:
b. Errors:
60
448
The partial products for
this problem are:
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The product of 5 and 6 was entered as 03 instead of 30.
The product of 6 and 2 is not 62; it should be 12.
The product of 46 and 25 is not 1,623; it should be
1,150.
Page 9
Name:
Class:
Date:
Unit 02 PC Form E
The lattice should look like this:
The partial-product for
, given as 60,
should be 600.
The final result given as
448 should be 988.
c. Sample answer: An estimate tells about how large the answer should be.
13.
(2.7, 2.8, 2.9, 2.10) Use pencil and paper to answer the question.
Solve the following problems using a paper-and-pencil algorithm. Show your work.
a.
b.
c. Choose one of the problems above, and explain why making a magnitude estimate of the
answer before solving the problem is helpful.
__________________________________________________________
__________________________________________________________
ANSWER:
a. 816
b. 12,596
c. Sample answer: An estimate tells about how large the answer should be.
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Page 10
Name:
Class:
Date:
Unit 02 PC Form E
14.
(2.7, 2.8, 2.9) Use pencil and paper to answer the question.
Identify the errors in the following problem and correct them.
ANSWER:
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The product of 4 and 7 was entered as 82 instead of 28.
The product of 3 and 7 is not 73; it should be 21.
The product of 57 and 34 is not 2,512; it should be 1,938.
Page 11
Name:
Class:
Date:
Unit 02 PC Form E
15.
(2.2, 2.3, 2.4, 2.7, 2.8, 2.9, 2.10) Use pencil and paper to answer the question.
Make a magnitude estimate by circling the appropriate box.
Then solve the problem using the algorithm of your choice. Show your work.
________
10s
ANSWER:
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100s
1,000s
10,000s
Magnitude estimate: 10s
Solution: 19.24
Page 12
Name:
Class:
Date:
Unit 02 PC Form E
16.
(2.6) Use pencil and paper to answer the question.
Fill in the blank with the phrase from the word bank that describes the chance the event will happen.
Word Bank
very
likely
certain
likely
50-50
chance
unlikely
very
unlikely
impossible
a.
A 25% chance of rain
________________
b.
A
________________
c.
Landing on red on a spinner that is half red
and half yellow
chance of having salad for lunch
a. unlikely
b. likely
c. 50-50
ANSWER:
17.
________________
(2.6) Use pencil and paper to answer the question.
Fill in the blank with the phrase from the word bank that describes the chance the event will happen.
Word Bank
very
likely
certain
likely
50-50
chance
unlikely
very
unlikely
impossible
a.
A 10% chance of rain
________________
b.
Tossing a coin that lands tails up
________________
c.
A
chance of having casserole for dinner
________________
d.
Landing on blue on a spinner that is 75% blue
________________
ANSWER:
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a. very unlikely
b. 50-50 chance
c. unlikely
d. likely
Page 13
Name:
Class:
Date:
Unit 02 PC Form E
18.
Use pencil and paper to answer the question.
Write in expanded notation.
29 = ________
ANSWER:
19.
20 + 9
Use pencil and paper to answer the question.
Make a magnitude estimate by circling the appropriate box.
Then solve the problem using the algorithm of your choice. Show your work.
________
10s
ANSWER:
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100s
1,000s
10,000s
Magnitude estimate: 100s
Solution: 190.779
Page 14
Name:
Class:
Date:
Unit 02 PC Form E
20.
Use pencil and paper to answer the question.
Write the following in expanded notation.
a.
69 = __________________
b.
803.5 = ______________________________
ANSWER:
a. 60 + 9
b. Sample answer:
21.
Use pencil and paper to answer the question.
Explain why making a magnitude estimate of the answer before solving the problem below is
helpful.
ANSWER:
22.
Sample answer: An estimate tells about how large the answer should be.
Use pencil and paper to answer the question.
Write in expanded notation.
860.7 = __________________
ANSWER:
23.
Use pencil and paper to answer the question.
Desiree had the following scores on her math facts tests:
92, 86, 65, 82, 75, 97, and 92.
Find the following landmarks for this set of data.
a. Maximum ________
b. Minimum ________
c. Range ________
d. Mode ________
e. Median ________
ANSWER:
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a. Maximum = 97
b. Minimum = 65
c. Range = 32
d. Mode = 92
e. Median = 86
Page 15
Name:
Class:
Date:
Unit 02 PC Form E
24.
Use pencil and paper to answer the question.
Molly's great-grandfather was born in 1922. His family had a big party for him on his 75th birthday.
There were 50 family members at the party. In what year did they have the party?
a. List the numbers needed to solve the problem. __________________
b. Describe what you need to find. __________________
c. Open sentence: __________________
d. Solution: __________________
e. Answer: __________________
ANSWER:
25.
a. 1922 and 75
b. The year of the birthday party
c.
d.
e. In the year 1997
Use pencil and paper to answer the question.
Fund Raising
Two fifth grade classes raised money for their local children's foundations.
There are 24 students in Class A. Each student raised $16.
There are 32 students in Class B. Each student in Class B raised 1.5 times as much as each
student in Class A.
a. How much money was raised altogether in both classrooms?
Show your work and explain your answer.
b. The money raised went to two foundations. One foundation received three times
as much as the other. How much money did each foundation receive?
Show your work and explain your answer.
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Page 16
Name:
Class:
Date:
Unit 02 PC Form E
a.
The total amount raised by both classrooms was $1152.
Sample answer:
To find the amount for Class A, I multiplied 24 (the number of students) times
$16 (amount raised by each student).
Class A raised
.
To find the amount for Class B, first I had to find the amount raised by each
student, which was $16 times 1.5. So amount raised by each student was
. Then I could find the amount raised by Class B by
multiplying the amount raised by each student times 32 (the number of
students).
Class B raised
.
I added the amounts of Class A and Class B together. The total amount
raised by both classes was
.
b.
First foundation = $864, second foundation = $288.
Sample answer:
The total amount raised was $1152.
For one foundation to receive three times as much as the other, I divided the
amount into 4 parts.
, so the second foundation received $288.
The first foundation received three times as much as the second, so I
multiplied $288 by 3.
, so the first foundation received $864.
ANSWER:
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Page 17