topic badge

2.07 Multiplying and dividing decimals

Worksheet
Multiplication of decimals
1

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

2

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

j

1.05 \times 0.23

k

10.5 \times 2.3

l

0.105 \times 0.23

3

Describe when the product of two numbers is:

a

In between the two numbers.

b

Less than both of the two numbers.

Area method
4

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

Now, find 4.67 \times 9 as a decimal.

40.60.07
9
5

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

Now, find 46.2 \times 6 as a decimal.

4060.2
6
6

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

Now, find 4.92 \times 0.6 as a decimal.

40.90.02
0.6
7

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

Now, find 2.3 \times 3.1 as a decimal.

20.3
3
0.1
8

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

Now, find 0.87 \times 7.8 as a decimal.

0.80.07
7
0.8
9

Use the area method to find the following as a decimal:

a

0.47 \times 0.89

b

4.86 \times 0.86

c

0.83 \times 0.98

d

3.47 \times 0.69

e

0.45 \times 0.89

f

6.42 \times 0.98

g

0.49 \times 0.98

h

2.76 \times 0.59

Division of decimals
10
a

Choose the most reasonable estimate for 2.8 \div 7:

A

Between 0 and 1

B

Between 1 and 7

C

Less than 0

D

Between 10 and 70

b

Calculate 2.8 \div 7.

11
a

Which of the following is the same as 0.9?

A

Nine tenths

B

Nine

C

Nine units

D

Nine tens

b

Now, find 0.9 \div 3, giving your answer as a decimal.

12

Consider the quotient of 255.15 \div 5.

a

Write 255.15 as a partitioned number.

b

Divide each part by 5 and write as a sum.

c

Add the answers to part (b) to find 255.15 \div 5.

13

To find 48.8 \div 4 we partition the number as follows:

48.8 = 40 + 8 + 0.8
a

Calculate:

i
40 \div 4
ii
8 \div 4
iii
0.8 \div 4
b

Add the answers to part (a) to find 48.8 \div 4.

14

Evaluate:

a
56 \div 0.7
b
1.2 \div 0.3
c
420 \div 0.7
d
8.1 \div 0.9
e
1.8 \div 0.09
f
2.94 \div 0.07
g
52.68 \div 6
h
245.37 \div 3
i
284.69 \div 7
j

84.06 \div 0.06

k

12 \div 0.003

l

6.4 \div 0.008

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

Outcomes

MA.6.NSO.2.1

Multiply and divide positive multi-digit numbers with decimals to the thousandths, including using a standard algorithm with procedural fluency.

What is Mathspace

About Mathspace