topic badge

1.02 Place value

Worksheet
Place value
1

Write down the place value represented by the digit 7 in the following numbers:

a
48.07
b
0.487
c
47.008
d
40.708
2

Write the following fractions as decimals:

a
\dfrac{7}{10}
b
\dfrac{94}{100}
c
\dfrac{61}{1000}
d
\dfrac{689}{1000}
e
\dfrac{2}{10}
f
\dfrac{9}{100}
g
\dfrac{7}{1000}
h
\dfrac{63}{1000}
Compare decimals
3

Select the larger decimal for each of the following pairs:

a

6.3 or 9.9

b

6.5995 or 6.9

c

7.78 or 7.73

d

3.3 or 3.38

e

0.1 or 0.44

f

0.7 or 0.57

g

0.71 or 0.709\,89

h

0.39 or 0.4

i

2.305 or 2.503

j

4.9999 or 4.8

k

0.009 or 0.0089

l

3.0234 or 3.03

4

Select the smaller decimal for each of the following pairs:

a

9.6 or 7.6

b

8.9 or 8.4

c

5.12 or 5.11

d

0.74 or 0.6

e

0.69 or 0.9

5

Write either > or < to complete the following:

a

1.6\,⬚\,1.4

b

6.64\,⬚\,6.61

c

1.9\,⬚\,1.96

d

0.823\,⬚\,0.826

e

0.2612\,⬚\,0.261

f

0.9\,⬚\,0.71

g

0.3\,⬚\,0.27

h

0.88\,⬚\,0.9

i

3.01\,⬚\,3.1

j

7.2\,⬚\,7.02

k

0.603\,⬚\,0.6035

l

0.71 \, ⬚ \, 0.7

m

0.39 \, ⬚ \, 0.389

n

2.305 \, ⬚ \, 2.309

o

4.9998 \, ⬚ \, 4.9999

p

0.001 \, ⬚ \, 0.0009

q

2.189 \, ⬚ \, 2.19

r

0.035 \, ⬚ \, 0.0043

s

0.999\,99 \, ⬚ \, 1

6

Answer the following:

a

Which is smaller: 0.31 or 0.33?

b

Which is larger: 0.93 or 0.929?

c

Which is smaller: 0.4 or 0.33?

d

Which is larger: 0.9 or 0.33?

e

Which is larger: 0.1 or 0.101?

f

Which is smaller: 0.331 or 0.33?

g

Which is larger: 0.327 or 0.33?

h

Which is smaller: 0.0001 or 0.0099?

7

Arrange the following in ascending order:

a
0.24, 0.204, 2.4, 0.024, 0.0024
b
3.68, 3.86, 3.068, 3.681, 3.1
c

7.6, 7\dfrac{59}{100}, 7.4, 7\dfrac{2}{10}, 7.06

d

0.65, \dfrac{70}{100}, 0.67, \dfrac{6}{10}, 0.61

e

\dfrac{6}{10}, 0.63, 0.0059, 0.006, 0.061

f

0.19, 0.392, 0.499, 0.278

g

8.4384, 8.3448, 8.8334, 8.8483, 8.4883

8

Arrange the following in descending order:

a
0.54, 0.504, 0.5, 0.054, 0.0054
b
7.28, 7.82, 7.078, 7.168, 7.8
c

6.75, 7\dfrac{8}{100}, 6.749, 6.225, 6.07

d

0.766, \dfrac{76}{100}, 0.7609, \dfrac{768}{1000}, 0.7663

e

8.204, 8.402, 8.024, 8.42, 8.24

Sign up to access Worksheet
Get full access to our content with a Mathspace account

Outcomes

1.1.3

understand the meaning and magnitude of numbers involved, including fractions, percentages and the significance of place value after the decimal point

What is Mathspace

About Mathspace