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iGCSE (2021 Edition)

3.07 Rounding decimals

Worksheet
Round to a place value
1

Round the following to the nearest whole number:

a
2.19
b
5.97
c
24.09
d
33.931
e
0.5
f
0.05
g
0.799
h
89.5
2

Round the following to the nearest tenth:

a
0.14
b
7.35
c
3.56
d
8.99
e
27.88
f
289.427
g
0.7003
h
9.992
3

Round the following to the nearest hundredth:

a
2.897
b
328.864
c
14.285
d
67.001
e
0.007
f
12.999
g
99.999
h
131.099
Round to a number of decimal places
4

Round the following to one decimal place:

a
0.41
b
8.35
c
79.38
d
0.3009
e
3.55
f
19.95
g
13.88
h
1.0099
5

Round the following to two decimal places:

a
2.697
b
393.586
c
0.435
d
7.3582
e
79.997
f
2.0029
g
149.955
h
0.099
6

Round the following to three decimal places:

a
11.8483
b
2.159\,76
c
4.504\,13
d
1.599\,64
e
90.0335
f
0.5987
g
41.5005
h
9.9996
7

Round the following to four decimal places:

a
5.659\,64
b
5.600\,96
c
12.006\,65
d
39.999\,95
Recurring decimals
8

The fraction \dfrac{1}{9} can also be written as 1 \div 9.

The quotient is 0.111 \ldots which we read as "zero point one recurring".

0.111 \ldots can be written as 0.\dot{1}.

Complete the table for the following recurring decimals:

FractionRecurring decimalRounded to two decimal places
\dfrac{1}{9}0.\dot{1}0.11
\dfrac{2}{9}0.\dot{2}
\dfrac{3}{9}
\dfrac{4}{9}0.\dot{4}
\dfrac{5}{9}0.\dot{5}
\dfrac{6}{9}0.\dot{6}
\dfrac{7}{9}0.\dot{7}
\dfrac{8}{9}0.89
\dfrac{9}{9}11.00
9

The fraction \dfrac{1}{7} can also be written as 1 \div 7.

The quotient is 0.142\,857\,142\,857 \ldots when written as a decimal, which can be written as 0.\dot{1}42\,85\dot{7}.

Complete the table for the following recurring decimals:

FractionRecurring decimalRounded to four decimal places
\dfrac{1}{7}0.\dot{1}42\,85\dot{7}0.1429
\dfrac{2}{7}0.\dot{2}85\,71\dot{4}
\dfrac{3}{7}
\dfrac{4}{7}0.\dot{5}71\,42\dot{8}
\dfrac{5}{7}0.\dot{7}14\,28\dot{5}
\dfrac{6}{7}0.\dot{8}57\,14\dot{2}
\dfrac{7}{7}11.0000
10

Round the following recurring decimals to one decimal place:

a
0.\dot{2}\dot{4}
b
0.\dot{6}3\dot{1}
c
0.\dot{4}
d
2.\dot{6}
e
0.\dot{1}\dot{9}
f
0.\dot{8}0\dot{8}
g
2.\dot{5}
h
4.2\dot{6}
11

Round the following recurring decimals to two decimal places:

a
0.\dot{1}3\dot{8}
b
0.\dot{89}
c
0.\dot{7}
d
9.\dot{9}
e
0.\dot{7}\dot{2}
f
0.\dot{5}8\dot{6}
g
0.\dot{4}
h
3.\dot{5}
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Outcomes

0580C1.1E

Identify and use rational and irrational numbers (e.g. π, sqrt(2) ).

0580C1.9B

Give approximations to specified numbers of decimal places and round off answers to reasonable accuracy in the context of a given problem.

0580E1.1E

Identify and use rational and irrational numbers (e.g. π, sqrt(2) ).

0580E1.9B

Give approximations to specified numbers of decimal places and round off answers to reasonable accuracy in the context of a given problem.

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