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iGCSE (2021 Edition)

3.05 Multiplying with decimals

Worksheet
Multiply decimals
1

For each of the following products:

i

State the number of decimal places in the answer.

ii

Calculate the answer.

a

0.3 \times 0.5

b

0.2 \times 0.54

c

0.1 \times 0.2 \times 0.3

d

0.1 \times 0.05

e

0.03 \times 0.05

f

0.003 \times 0.004

g

0.2 \times 0.5 \times 0.02

h

0.015 \times 0.2

i

4 \times 0.005

j

54 \times 0.001

k

12 \times 0.02

l

10.3 \times 0.01

2

Evaluate:

a

4 \times 5

b

4 \times 50

c

4 \times 0.5

d

0.4 \times 0.5

e

0.6 \times 0.3

f

2.2 \times 4

g

1.2 \times 3.2

h

4.23 \times 2

i

4.8 \times 8

j

62 \times 9.6

k

3.89 \times 7

l

2.8 \times 6.8

3

For the following products, state whether the answer will be:

  • Greater than both numbers.
  • Less than both numbers.
  • In between the two numbers.
a

3 \times 5

b

3 \times 0.5

c

0.3 \times 0.5

d

7 \times 4

e

0.7 \times 4

f

0.7 \times 0.4

g

15 \times 8

h

15 \times 0.8

i

1.5 \times 0.8

4

Describe when the product of two numbers is:

a

In between the two numbers.

b

Less than both of the two numbers.

Area method
5

Find the area of a rectangle with the following dimensions:

a
Length of 0.5 \text{ cm}, width of 0.8 \text{ cm}
b
Length of 0.2 \text{ m}, width of 0.07 \text{ m}
6

Consider a rectangle with side lengths of 4.67 and 9 units.

a

Complete the table by finding the area of each smaller rectangle as a decimal.

b

Hence, find 4.67 \times 9 as a decimal.

40.60.07
9
7

Consider a rectangle with side lengths of 46.2 and 6 units.

a

Complete the table by finding the area of each smaller rectangle as a decimal.

b

Hence, find 46.2 \times 6 as a decimal.

4060.2
6
8

Consider a rectangle with side lengths of 4.92 and 0.6 units.

a

Complete the table by finding the area of each smaller rectangle as a decimal.

b

Hence, find 4.92 \times 0.6 as a decimal.

40.90.02
0.6
9

Consider a rectangle with side lengths of 2.3 and 3.1 units:

a

Complete the table by finding the area of each smaller rectangle as a decimal.

b

Hence, find 2.3 \times 3.1 as a decimal.

20.3
3
0.1
10

Consider a rectangle with side lengths of 0.87 and 7.8 units.

a

Complete the table by finding the area of each smaller rectangle as a decimal.

b

Hence, find 0.87 \times 7.8 as a decimal.

0.80.07
7
0.8
11

Use the area method to find 0.47 \times 0.89 as a decimal.

12

Use the area method to find 4.86 \times 0.86 as a decimal.

Mixed operations
13

Evaluate:

a
0.1\times 2+0.4
b
1.5\times0.2-0.1
c
3.2\times 0.4 + 0.5
d
0.9\times 0.6\times 0.1
e
1.2\times 1.1 - 1
f
3.2\times 0.5 - 0.7
g
3.2+4.4\times 0.25
h
5.6-0.8\times1.5
14

Evaluate:

a
(1.1+1.2)\times0.2
b
(4.2-3.6)\times0.5
c
(0.1+0.2)\times(0.5-0.4)
d
0.5\times0.8-0.9\times0.1
e
(3.3+2.1)\times(0.6-0.4)
f
0.7\times0.35\times0.2
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Outcomes

0580C1.8B

Use the four rules for calculations with decimals, including correct ordering of operations and use of brackets.

0580E1.8B

Use the four rules for calculations with decimals, including correct ordering of operations and use of brackets.

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