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5.02 Comparing and ordering fractions, decimals, and percents

Worksheet
Order fractions, decimals, percents
1

Consider the decimal 0.98.

a

Express the decimal as a percentage.

b

Express the decimal as a fraction.

2

For each of the following pairs of numbers:

i

Convert the decimal to a percentage.

ii

Which number is greater?

a

0.91 and 82\%

b

8.9 and 879\%

c

0.31 and 45\%

d

0.39 and 26\%

e

0.82 and 83\%

f

0.92 and 88\%

g

4.5 and 45\%

h

0.89 and 80\%

3

Consider the inequality: 69\%<0.63

a

Convert 0.63 to a percentage.

b

Now, state whether the inequality is true or false.

4

Consider the inequality: 1.63 > 16.3\%

a

Convert 1.63 to a percentage.

b

Now, state whether the inequality is true or false.

5

Identify the inequality sign, \lt or \gt, that will make the following statement true: \dfrac{7}{8} \, ⬚ \, 0.88

6

For each of the following pairs of numbers:

i

Convert the decimal to a percentage.

ii

Identify the inequality sign, \lt or \gt, that makes the statement true.

a

71\% \, ⬚ \, 0.31

b

51\% \, ⬚ \, 0.67

c

62\% \, ⬚ \, 6.2

d

35\% \, ⬚ \, 0.33

e

6.7\% \, ⬚ \, 0.061

f

48.1\% \, ⬚ \, 4.71

g

188.3\% \, ⬚ \, 1.881

h

97.4\% \, ⬚ \, 1.01

7

For each of the following inequalities:

i

Convert the fraction to a percentage.

ii

State whether the inequality is true or false.

a

\dfrac{3}{2} > 132\%

b

\dfrac{9}{10} > 68\%

c

\dfrac{13}{20} >64\%

d

\dfrac{38}{25}>131\%

e

\dfrac{37}{50} > 90\%

f

\dfrac{67}{50}>154\%

g

\dfrac{29}{250}>11\%

h

\dfrac{101}{125}<80\%

8

For each list of numbers:

i

Rewrite the numbers as percentages.

ii

Write the numbers in ascending order.

a
\dfrac{6}{10}, \, 20\%, \,1
b
\dfrac{5}{10}, \, 100\%, \,0.2
c
\dfrac{4}{4}, \, 25\%, \, 0.5
d
\dfrac{2}{4},\, 25\%,\, 1
e
\dfrac{3}{10},\, 100\%,\, 0.2
f
\dfrac{3}{8},\, 20\%,\, 0.8
g
0.89,\, \dfrac{3}{5},\, 53\%
h
\dfrac{3}{3},\, \dfrac{1}{3},\,66\dfrac{2}{3}\%
9

For each list of numbers:

i

Rewrite the numbers as percentages.

ii

Write the numbers in descending order.

a
\dfrac{1}{10}, \, 70\%, \,0.8
b
\dfrac{9}{10}, \, 40\%, \,0.5
c
\dfrac{1}{4}, \, 100\%, \, 0.5
d
\dfrac{1}{4},\, 75\%,\, 0.5
e
\dfrac{1}{8},\, 60\%,\, 0.3
f
\dfrac{2}{3},\, 33\dfrac{1}{3}\%,\, 100\%
g
\dfrac{5}{2}, \, 2.8, \, 240\%
h
\dfrac{4}{5},\, 85 \dfrac{1}{4}\%,\, 0.84
10

For each list of numbers, find:

i

The largest value

ii

The smallest value

iii

The value closest to 0.5

a

92\%,\, \dfrac{3}{4}, \, \dfrac{503}{1000}, \, 0.1, \,0.36,\,60.1\%

b

71\%,\, \dfrac{4}{6},\,\dfrac{84}{1000},\, 0.7,\, 0.99,\, 50.8\%

c

63\%,\, \dfrac{1}{3},\,\dfrac{653}{1000},\, 0.6,\, 0.68,\, 65.5\%

d

88\%,\, \dfrac{8}{9},\,\dfrac{837}{1000},\, 0.9,\, 0.83,\, 81.4\%

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Outcomes

MA.7.NSO.1.2

Rewrite rational numbers in different but equivalent forms including fractions, mixed numbers, repeating decimals and percentages to solve mathematical and real-world problems.

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