Convert between fractions and decimals – tenths and hundredths

1 a) Shade 2

10 of the hundred

square.

b) Shade 20

100 of the hundred

square.

3 Part of a grid is shaded.

a) What fraction of each grid is shaded?

b) Use your answers to part a) to explain why 0.4 is greater than 0.04

4 Write or = to complete the statements.

a) 0.6

6100

b) 910

0.9

c) 0.7

7010

d) 0.79

79100

e) 15100

0.2

f) 29100

310

5 Continue the linear sequences.

a) 110

, 11100

, 12100

, , ,

b) 35100

, 510

, 65100

, , ,

c) 410

, 0.29 , , ,

© White Rose Maths 2019

c) Complete the equivalent fractions.

210

= 100

0.2 = 10

0.2 = 100

2 Complete the statements.

a) 810

= 100

d) 17100

= 0.__ __

b) 70100

= 10

e) 0.37 = 100

c) 0.5 = 10

f) 0.03 = 100

6

Use the diagram to explain why 37

100= 3

10+ 7

100

7

Explain to a partner why Amir is not correct.

You can use a hundred square to help you.

8 a) Write a digit to make the statement correct.

37100

< 0._9

b) Is there more than one possible answer? Record all the possibilities.

© White Rose Maths 2019

9 Complete the calculations.

You may use a hundred square to help you.

Give your answers as fractions.

a) 310

– 20100

= 10

b) 1 – 91100

=

c) 510

– 0.17 =

10 Complete the number sentence in three different ways.

49100

+ 10

+ 0.3 + 0._ _= 2

49100

+ 10

+ 0.3 + 0._ _= 2

49100

+ 10

+ 0.3 + 0._ _= 2

Compare answers with a partner.

Can you find another way?

There are no tenths in 42100 because the

denominator is 100, not 10

Convert between fractions and decimals – fifths and quarters

1 Use the diagrams to help you complete the statements.

a)

b)

c)

2 Use a hundred square to help you complete the statement.

a) 14

= 100

= 0.__ __

b) Use your answer to part a) to help you to complete the statement.

34

= 100

=

3 Use the fraction wall to help you complete the statements.

110

110

110

110

110

110

110

110

110

110

15

15

15

15

15

14

14

14

14

a) 45

= 10

= 0.__ d) 310

25

b) 610

= 5

= 0.__ e) 45

14

c) 24

= 10

= 0.__ f) 1010

44

© White Rose Maths 2019

15

=10

15

=100

15

=0._

5=

10

5=

100

5=0._

5=

10

5=

100

5=0._

4 Which is greater, 34

or 45

? Explain how you know.

5 Fill in the missing numbers.

Use the number line to help you.

0 21

0.2

15

a) 65

= 1.__ c) 0.8 = 5

b) 95

= __.__ d) 1.6 = 5

6 Which is greater,15 34

or 15 7

10 ?

Explain how you know.

© White Rose Maths 2019

7 Here is a number line from 0 to 1

0 1

A B

0.2 14

a) Write a fraction with a denominator of 10, which could go after B

on the number line.

b) Write a fraction with a denominator of 100, which could go before

A on the number line.

c) Write three fractions that could be in between A and B on the

number line.

Compare answers with a partner.

8 Tick the expressions that are equivalent to four-fifths of x.

x + 45

0.4x

4x5

0.8x

x – 45

0.45x

Talk about your answers with a partner.