Worksheet

1

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.

2

a

Choose the most reasonable estimate for 92.1 \div 3:

A

31

B

310

C

3.1

D

0.31

b

Calculate 92.1 \div 3.

3

For each of the following divisions:

i

Estimate the value.

ii

Calculate the exact value.

a

979.8 \div 2

b

7.776 \div 2

c

793.6 \div 8

d

56.231 \div 7

4

a

Which of the following is the same as 0.9?

A

Nine tenths

B

Nine

C

Nine units

D

Nine tens

b

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

5

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

48.8 = 40 + 8 + 0.8a

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.

6

Consider the quotient of 93.63 \div 3.

a

Write 93.63 as a partitioned number.

b

Divide each part by 3 and write as a sum.

c

Add the answers to part (b) to find 93.63 \div 3.

7

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.

8

Evaluate:

a

24.24 \div 3

b

11.54 \div 2

c

52.68 \div 6

d

245.37 \div 3

e

393.68 \div 7

f

588.6 \div 9

g

538.32 \div 6

h

1061.2 \div 8

9

Explain how to divide 21 by the decimal 0.05.

10

Consider the quotient of 3.36 divided by 0.3.

a

By what multiple of ten should both numbers be multiplied by, so that the divisor, 0.3, is a whole number?

b

Rewrite 3.36 \div 0.3 so that the divisor is a whole number.

c

Hence calculate 3.36 \div 0.3.

11

Consider the quotient of 4.808 divided by 0.04.

a

By what multiple of ten should both numbers be multiplied by, so that the divisor, 0.04, is a whole number?

b

Rewrite 4.808 \div 0.04 so that the divisor is a whole number.

c

Hence calculate 4.808 \div 0.04.

12

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

5.205 \div 0.05

h

84.06 \div 0.06

i

12 \div 0.003

j

10.8 \div 0.012

k

33 \div 0.011

l

6.4 \div 0.008

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Multiply and divide decimal numbers by decimal numbers, in various contexts.