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Middle Years

3.04 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.

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