Name:
Class:
Date:
Unit 08 PC Form E
1.
(8.7, 8.9) Use pencil and paper to answer the question.
Write the fraction as a decimal and a percent.
ANSWER:
2.
0.1, 10%
(8.7, 8.9) Use pencil and paper to answer the question.
Write each fraction as a decimal and a percent.
________, ________
a.
b.
________, ________
ANSWER:
a. 0.7, 70%
3.
b. 0.44, 44%
(8.7, 8.9) Use pencil and paper to answer the question.
Write the fraction as a decimal and a percent.
ANSWER:
4.
0.28
28%
(8.12) Use pencil and paper to answer the question.
a. What is a common denominator for
and
? ________
b. Explain how you found the common denominator. _____________________
_______________________________________________________________
ANSWER:
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a. 20
b. Sample answer: I multiplied the 2 denominators:
Page 1
Name:
Class:
Date:
Unit 08 PC Form E
5.
(8.1, 8.4) Use pencil and paper to answer the question.
a. Is
greater than or less than
? __________________
b. Explain how you decided on your answer.
______________________________________________________________
______________________________________________________________
ANSWER:
6.
a. Less than
b. Sample answer:
(8.3) Use pencil and paper to answer the question.
a. Use your ruler to draw a line segment that is
b. If you erased
ANSWER:
inch from this line segment, how long would it be? ________ in.
a. A line segment should be drawn that is
b.
7.
in. long.
inches long.
in.
(8.2, 8.4) Use pencil and paper to answer the question.
Add. Write your answer in simplest form.
ANSWER:
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Page 2
Name:
Class:
Date:
Unit 08 PC Form E
8.
(8.2, 8.3, 8.4) Use pencil and paper to answer the question.
Add or subtract. Write your answer in simplest form.
a.
b.
c.
d.
e.
f.
g.
ANSWER:
a.
b.
c.
d.
e.
f.
g.
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Page 3
Name:
Class:
Date:
Unit 08 PC Form E
9.
(8.3, 8.4, 8.8, 8.12) Use pencil and paper to answer the question.
Fill in the missing number.
a.
b.
c.
d.
ANSWER:
14
b. 4
a.
8
d. 2
c.
10.
(8.12) Use pencil and paper to answer the question.
Fill in the square next to possible common denominators for each fraction pair.
a.
and
b.
4
8
12
16
ANSWER:
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and
8
12
24
48
c.
and
3
8
18
24
d.
and
7
12
72
84
a. 12
b. 24 and 48
c. 24
d. 84
Page 4
Name:
Class:
Date:
Unit 08 PC Form E
11.
(8.1, 8.4) Use pencil and paper to answer the question.
List the fractions in order from smallest to largest.
________
smallest
________
________
________
________
________
largest
ANSWER:
smallest
largest
12. (8.12) If you drew a line segment twice as long as a
-inch line segment, how long
would the new line segment be? ________
a.
in.
b.
in.
c.
in.
d.
in.
ANSWER: c
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Page 5
Name:
Class:
Date:
Unit 08 PC Form E
13.
(8.3) Use pencil and paper to answer the question.
Solve.
a. Christian measured the growth of his vegetable plant every week.
One Friday, it was
inches tall. The following Friday, it was
inches tall.
How much had it grown in one week?
________ in.
b. Explain how you found your answer.
______________________________________________________________
______________________________________________________________
ANSWER:
a.
b. Sample answer: I renamed
Then I subtracted: 4
so
= 1, and
as 4
,
.
I put the 2 parts together to get
14. (8.5, 8.6, 8.7) How many minutes are in
.
of an hour? ________ minutes
ANSWER: 15
15. (8.9, 8.10, 8.11) Makya baked 36 cookies for the bake sale. If 75% of them had almonds, how
many cookies had almonds?
________ cookies
ANSWER: 27
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Page 6
Name:
Class:
Date:
Unit 08 PC Form E
16.
(8.5, 8.6, 8.7) Use pencil and paper to answer the question.
Multiply. Write your answer in simplest form.
a.
b.
c.
d.
ANSWER:
17.
a.
b.
c.
d.
(8.5, 8.6, 8.7) Use pencil and paper to answer the question.
Multiply or divide. Write your answer in simplest form. Draw a picture to help you solve the
problems if necessary.
a.
b.
c.
d.
ANSWER:
18.
a.
b.
c.
d. 30
Use pencil and paper to answer the question.
Subtract. Write your answer in simplest form.
ANSWER:
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Page 7
Name:
Class:
Date:
Unit 08 PC Form E
19.
Use pencil and paper to answer the question.
Subtract. Write your answer in simplest form.
ANSWER:
20. Fill in the missing number.
ANSWER: 10
21. Fill in the missing number.
ANSWER: 1
22.
Use pencil and paper to answer the question.
Multiply. Write your answer in simplest form.
ANSWER:
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Page 8
Name:
Class:
Date:
Unit 08 PC Form E
23.
Use pencil and paper to answer the question.
Multiply. Write your answer in simplest form.
ANSWER:
24.
Use pencil and paper to answer the question.
Multiply. Write your answer in simplest form.
ANSWER:
25.
Use pencil and paper to answer the question.
Add. Write your answer in simplest form.
ANSWER:
26.
Use pencil and paper to answer the question.
Subtract. Write your answer in simplest form.
ANSWER:
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Page 9
Name:
Class:
Date:
Unit 08 PC Form E
27.
Use pencil and paper to answer the question.
Add. Write your answer in simplest form.
ANSWER:
28.
Use pencil and paper to answer the question.
Writing Egyptian Fractions
wrote all of their fractions as a sum of unit fractions where
no unit fraction is repeated.
For example, you cannot write
One way to write it would be
An algorithm for finding a unit fraction expression for any fraction is
the Greedy Method. To use the Greedy Method on fraction X:
Start with the largest unit fraction less than fraction X. Then continue in the same manner to
represent the remaining value.
Example: Represent
as a sum of unit fractions.
Step 1:
is the largest unit fraction
Step 2:
is the largest unit fraction
a. Represent
as a sum of unit fractions. Show all of your work.
Explain your thinking.
b. Represent
as a sum of unit fractions in a different way.
Show all of your steps.
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Page 10
Name:
Class:
Date:
Unit 08 PC Form E
ANSWER:
Sample answers:
a. Step 1:
is the largest unit fraction
Step 2:
is the largest unit fraction
.
I needed to find the fraction that remained when taking
from
.
To do that, I renamed the fractions to have the common denominator of 60;
;
is the last unit fraction.
b.
Steps vary.
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Page 11