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1.16 Comparing and ordering rational numbers

Worksheet
Compare rational numbers
1

Express the following decimals as a:

i

Percentage

ii

Simplified fraction

a

0.98

b

0.43

c

0.075

d

0.185

2

Express the following percentages as a:

i

Decimal

ii

Simplified fraction

a

75\%

b

68\%

c

8.5\%

d

128\%

3

For each of the following expressions:

i

Rewrite the expression using percentages.

ii

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

a

69\%\, ⬚ \, 0.63

b

71\%\, ⬚ \, 0.31

c

51\%\, ⬚ \, 0.67

d

0.052 \, ⬚ \, 4.9\%

e

\dfrac{38}{25}\, ⬚ \, 131\%

f

\dfrac{13}{20}\, ⬚ \, 64\%

g

\dfrac{7}{8}\, ⬚ \, 0.88

h

0.095\, ⬚ \, \dfrac{1}{10}

4

For each of the following pairs of numbers:

i

Express the decimal as a percentage.

ii

State the larger value.

a

0.91,\, 82\%

b

8.9,\, 879\%

c

0.31,\, 45\%

d

0.019,\, 7.5\%

5

For each of the following sets of numbers:

i

Rewrite the set using percentages.

ii

Arrange the set in ascending order.

a

0.89, \, \dfrac{3}{5}, \, 53\%

b

\dfrac{3}{3}, \, \dfrac{1}{3}, \, 66\dfrac{2}{3}\%

6

For each of the following sets of numbers:

i

Rewrite the set using percentages.

ii

Arrange the set in descending order.

a

\dfrac{2}{3}, 33\dfrac{1}{3}\%, 100\%

b

\dfrac{5}{8}, 63\dfrac{2}{5}\%, 0.7, \dfrac{13}{20}

7

State the larger value in each pair of numbers:

a

37\%, \, 0.61

b

\dfrac{1}{4}, \, 76\%

c

\dfrac{91}{92}, \, 45\%

d
\dfrac{5}{6}, \, 0.3
8

For each of the following sets of numbers:

i

State the largest value.

ii

State the smallest value.

iii

State the value that is 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\%

9

For each of the following sets of numbers:

i

Plot the numbers on a number line.

ii

Arrange the set from smallest to largest.

a
0.03, \dfrac{1}{3}, \dfrac{3}{8}, 8\%
b
0.8, 0.76, 89\%, \dfrac{5}{6}, \dfrac{14}{15}
c
17.5\%, -\dfrac{1}{8}, 0.225, -20\%, -0.025
d
-0.4, 0.175, -4.95\%, 1.25\%, -\dfrac{4}{9}, \dfrac{1}{25}
10

For each of the following sets of numbers:

i

Plot the numbers on a number line.

ii

Arrange the set from largest to smallest.

a
0.35, -0.5, \dfrac{1}{5}, -25\%
b
0.15, -0.55, 5\%, \dfrac{3}{5}, \dfrac{3}{10}, -\dfrac{9}{20}
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Outcomes

MA.6.NSO.1.1

Extend previous understanding of numbers to define rational numbers. Plot, order and compare rational numbers.

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