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Unit 3 Review
Decimals, Fractions, and Percentages
You may not use a calculator for any on the test, so do not use a calculator on the review.
You will need to be able to read, write, estimate, order, add, and subtract
decimals and fractions.
1. Write the correct number name for: seventy-seven and seven hundredths
___________77.07_________________________
2. Write the correct word name for: 50.09
__fifity and nine hundredths _____
3. Write the decimals in order from least to greatest:
0.0241
___0.0124,
1.240
0.0241,
0.0124
0.1,
0.1
1.240,
1.42
1.42___
4. Choose the correct number name for: three and ninety-one hundredths.
a.
b.
c.
d.
3.901
3.91
3.091
391
5. Choose the correct word name for: 61.07
a.
b.
c.
d.
Sixty-one thousandths
Six thousand one hundred seven
Sixty-one and seven tenths
Sixty-one and seven hundredths
6. Choose the letter of the decimal fractions that are written in order:
a.
b.
c.
d.
0.36,
6.03,
0.36,
3.06,
3.06,
3.06,
0.63,
0.36,
0.63,
0.63,
3.06,
0.63,
7. Estimate each decimal to the nearest tenth
6.03
0.36
6.03
6.03
a.
b.
c.
d.
2.35
4.05
10.36
2.019
_ 2.4___________
__4.1__________
_10.4___________
2.0________
8. Estimate the total of the decimals in question 7:__18.9_______________
2.4+4.1+10.4+2.0=18.9
Solve and simplify:
9.
96.23 - 36.45 =59.78
10.
15.079 + 6.21=21.919
11.
1 ¼ + 2/8= 1 ½
12.
9/10 – 1/5 = 7/10
You will have to multiply, divide, and model multiplication of decimals. You
will also have to solve multiplication and division word problems.
13.
12.5 x 4 = 50
14.
36.5 x 2 = 73
15. Model 4 x 0.22 in the squares below: Answer: 0.88
16.Antonino ran 12.5 meters a day. He ran for 7 days. How many meters did
Antonino run? 12.5 x 7 = 87.5 meters
17.
Karyn needs 0.9 inches of tape to put up each poster in her room. She
has 5 posters. Model how much tape Karyn will need for all 5 posters.
0.9
inches
0.9
inches
0.9
inches
0.9
inches
0.9
inches
Answer: 0.9 x 5 = 4.5 inches
18. Mrs. Gangloff has 24.2 yards of bulletin board paper. She has 4 bulletin
boards. If each bulletin board was the same size, how much paper will
each bulletin board get?
24.2 x 4 = 96.8 yards
19. Mrs. Smith made a Valentine’s Day card using 16 centimeters of
construction paper. Her card will be 2.3 centimeters times bigger than
Mrs. Gangloff’s card. How big will Mrs. Smith’s card be? ___36.8 cm.__
a. Show your work:
16 x 2.3 = 36.8
You will have to find the percent of a number and solve word problems with
percents.
20. What is 30% of 35? 10.5
30 % = 0.30
so 35 x 0.30 = 10.5
21. What is 50% of 48? 24
50 % = 0.50
so 48 x 0.50 = 24
22.What is 25% of 16? 4
25 % = 0.25
so 16 x 0.25 = 4
23. Richard ate 40% of the pieces of pizza. There were 60 pieces of pizza.
How many pieces of pizza did Richard eat?
40 % = 0.40
so 60 x 0.40 = 24
24. There are 40 marbles in the jar. 25% of the marbles are blue. How many
marbles are blue?
25 % = 0.25
so 40 x 0.25 = 10
25. Mrs. Gangloff had 2 cups of marbles that contains 1 ½ red marbles.
What percentage of the marbles is red? : 75%
(Hint: draw a number line or a measuring cup)
Step one: draw a number line, label up to the total number of cups
0
1
2
Step two: label the number line by the smallest part of the word problem:
½
0
½
1
1½
2
Step 3: Color the number line up to the fraction in the word (1 ½)
0
½
1
1½
2
Step 4: Count how many parts are highlighted: 3 out of the total parts 4 = ¾
Step 5: Convert ¾ to a decimal: 0.75
Step 6: convert 0.75 to a percent: 75%
26. Yves has 1 ½ a bag of popcorn and Anthony has 2/8 a bag of popcorn.
How much popcorn would they have if they combined their popcorn
bags?
Add vertically: 1 ½ x 8/8= 1 8/16
+ 2/8 x2/2= 4/16
1 12/16 (simplify) 1 3/4
You will have to add, subtract, multiply, and divide whole numbers.
27.
6, 954
+ 589
7,543
30. 12, 000
- 854
11,146
31. 4,785
x 216
28.
12, 999
+
218
13,217
32.Rewrite and solve
9325÷10
9325.5
29. 8, 000
- 512
7,488
33.Rewrite and solve
5985÷15
399
You will need to write equivalent fractions, change improper fractions to
mixed numbers, change mixed numbers to improper fractions, and order
fractions.
34.For each fraction: Write an equivalent fraction, decimal and a percent
a. ¼ ___25/100__ ___.25__________ ___25%__________
b. ½ ____50/100_ ___.50________ _____50%________
c. ¾ 75/100__ ___.75__________ ___75%__________
35.Write an improper fraction for mixed number:
a. 5 ¼ __21/4_____
6 ½ ___13/2_______
7 ¾ ____31/4____
36.Write an mixed number for each improper fraction:
a. 11/4 __2 3/4___
30/5 6__
13/6 __2 1/6___
37. Place each of the fraction and mixed number on the number line
(Be sure to mark the number line with the correct breaks to find the close
to exact location)
12/6
0
1¼
¼
3/8
1
¼
3/8
2
1¼
Explain how you chose to place 12/6 on the number line.
I know the 6 goes into 12, 2 times. There is 2 wholes in 12.
Or draw a picture of 12 sixths to show 2 wholes.
12/6
38. Complete the chart for the missing equivalent forms of the number.
Decimal Fraction
Common
Fraction
75/100 or ¾
Percent
Model
75%
.75
0
1
3/4
.50
½
.20
20/100 or 1/5
50%
20%
Challenge Review: Any student can try the challenge, but all Maryland Terps must
complete the challenge portion.
Simplify each expression: (solve and simplify if necessary)
38. (5.25) (3.5)
5.25 x 3.5 =18.375
39. 35.42 ÷0.7= 5.06
40.Circle the fraction that is not equivalent to 0.6?
a. 6/10
b. 3/5
c. 1/6
d. 18/30
41.Write each fraction or mixed number as decimal.
a. 1/10__.1________
b. 4/9 ____.44_______
c. 3 ½ ___3.5_________
42. Katherine babysits for $6.50 an hour. She babysits for 4 ¼ hours. How
much money does Katherine make? ___29.25____________
43.Write the ratio as a percent: (Hint: change to a fraction, then decimal)
a.
2:5 = ___.40%
44. 19 out of 35 students in the class are girls. What is the ratio of boys in
the class? ___35-19= 16 boys, so the ratio is 16:35________________
45.
24 out of 30 students take the bus home from school
a. What is the ratio of students who ride the bus compared to those
who do not ride the bus? 30-24 = 6 Others, so 24:6 (Bus:others)
46. Carly has 4 ½ cups of marbles. She wants to give her friends each ¼ cup
of marbles.
a. How many friends can Carly share her marbles with?
10 friends
b. Show your work:
Division problem:
5
4½÷¼=
/2
÷ ¼ = 5/2 x 4/1= 20/2 = 10
47.Find the value of each expression. Express in simplest form.
4
1 =
5 ÷ 10
4/
5
x
10/
40/
1=
5
=9
1 31
6 x 2 =
1/
6
x
7/
7/
2 = 12
5 1
13 3/
39 -
3 1
3=
3 13/39 = 40/5 =4 42/39 - 3 13/39 = 129/39
48. Order the numbers below in order from least to greatest:
Hint: change to decimals:
2.06
½
0.4
1.5
1 1/5
0.4
½
1 1/5
1.5
2.06
49. Evaluate the following expressions if n = ¼ and x = 0.
½ ( 10-n)
½ ( 10- ¼)= parenthesis first: 10 – ¼ = 9 4/4 – 1/4 = 9 ¾
Next: ½ x 9 ¾ = change the mixed number to an improper fraction and
multiply
½ x 39/4= 39/8 = change back to a mixed number = 4 7/8
4x + 2.36
Substitute the number 0 for the x
(4 x 0) + 2.36 = 2.36
50.Jordan needs 1 ¼ feet of wood to make a box and 1 5/6 feet of wood to
make a chair. A foot of wood costs $3.50.
a. What is the total cost of wood for the box and the chair?
b. Show your work.
1
2
3
First add the fractions to find out how much wood you will need.
¼ + 5/6 = 1 3/12 + 10/12 = 1 13/12
Multiply 1 13/12 by the cost of the wood: $ 3.50
Either change to the fraction: 1 13/12 to a decimal or the decimal 3.50 to
a fraction and multiply.
4
5
6
1 13/12 = 2.08
2.08 x 3.50 = $ 7.28
Or 3.50 = 3 ½
7
8
9
10
3 ½ x 1 13/12 =
7
/2 x 25/12
175
/24 = 7 7/24
Changed back to an mixed number: $7 .29