Decimals and Fractions 1
Decimals

The use of numbers involving decimal points is very important. Recall that:

= 0.1 "one tenth"
= 0.2 "two tenths"
= 0.01 "one hundredth"
= 0.07 "seven hundredths"
= 0.42 "4 tenths and 2 hundredths"
= 0.82 "8 tenths and 2 hundredths"
= 0.007 "7 thousandths"

Worked Examples

1

Read the value indicated by each pointer.

(a)
Show me

The marks on the scale are = 0.1 units apart, so the arrow points to 3.7.
(b)
Show me

The marks on the scale are = 0.2 units apart, so the arrow points to 4.6.
(c)
Show me

The marks on the scale are 0.01 units apart, so the arrow points to 3.83.
(d)
Show me

The marks on the scale are 0.02 units apart, so the arrow points to 3.82.
2

Find

(a)

0.17 + 0.7

Show me
0.17
+0.7
0.87
(b)

0.624 + 0.41

Show me
0.624
+0.41
1.034
(c)

0.12 + 0.742

Show me
0.12
+0.742
0.862
3

A boy spent £15.48 on football stickers, £3.33 on sweets and £105.95 on a comic. Find the total he spent in £.

Show me
15.48
3.33
+105.95
124.76

He spent £124.76.

Exercises

Write each of these as a decimal.

(a)
=
(b)
=
(c)
=
(d)
=
(e)
=
(f)
=
(g)
=
(h)
=
(i)
=
(j)
=
(k)
=
(l)
=
(m)
=
(n)
=
(o)
=

Write each of these as a fraction.

You don't need to write the fractions in their simplest form.

(a)
0.4 =
(b)
0.3 =
(c)
0.04 =
(d)
0.32 =
(e)
0.45 =
(f)
0.06 =
(g)
0.08 =
(h)
0.14 =
(i)
0.008 =
(j)
0.147 =
(k)
0.036 =
(l)
0.04 =
(m)
0.1 =
(n)
0.009 =
(o)
0.107 =

Read the value indicated by each pointer.

(a)
(b)
(c)
(d)
(e)
(f)
(g)
(h)
(i)
(j)
(k)
(l)

On the scale, mark as accurately as possible the given value.

(a)
4.6
(b)
10.4
(c)
8.7
(d)
5.45
(e)
8.91
(f)
7.47
(g)
3.245
(h)
5.175
(i)
6.495

Find

(a)

0.7 + 0.81 =

(b)

0.004 + 0.42 =

(c)

0.1 + 0.182 =

(d)

0.863 – 0.024 =

(e)

0.802 + 0.3 =

(f)

0.321 – 0.04 =

(g)

0.86 – 0.002 =

(h)

0.85 – 0.112 =

(i)

0.386 – 0.014 =

(j)

8.67 + 3.2 =

(k)

8.571 + 3.72 =

(l)

4.8 + 12.68 =

(m)

18.2 – 9.47 =

(n)

28.6 + 102.05 =

(o)

82.01 – 32.004 =

In each number below, does the 5 represent

5 tenths,   5 hundredths   or   5 thousandths?

(a)
0.152
(b)
0.522
(c)
0.05
(d)
3.572
(e)
1.475
(f)
3.115

The table below shows how five children spent pocket money in one week.

(a)

Find the total that each child spent in 2 weeks.

Peter: £

Katie: £

Lora: £

Michael: £

(b)

Find the amount that the four children spent together in one week.

£
(c)

How much did they spend on sweets in one week?

£

Convert the following amounts in euro cents to euros.

(a)
328 euro cents euros
(b)
152 euro cents euros
(c)
842 euro cents euros
(d)
1121 euro cents euros
(e)
48 euro cents euros
(f)
127 euro cents euros
(g)
64 euro cents euros
(h)
32 011 euro cents euros
(i)
8421 euro cents euros

In the USA, Mr Krishnan buys five 20 cent stamps and three 26 cent stamps.

(a)

How much does he spend in $s?

He spends $.
(b)

How much change would he get from a $5 note?

He would get $.

The cost of a ticket to enter a fair in Miami is $1.10 for adults and 65 cents for children.

(a)

Find the cost if Mrs Barnes goes to the fair with her two children.

$
(b)

Find the cost if Mr Barnes also goes.

$

Janice measures her height.

How tall is she?

m

Chippy the carpenter marks a 3 metre length of wood into three pieces.

One piece is 1.40 metres long.
Another piece is 84 centimetres long.

How long is the third piece of wood?

cm

These kitchen scales weigh in kilograms.

Write down the weight when the pointer is at A.

kg

John goes into a shop to buy some 19-pence stickers.

(a)

What is the greatest number of stickers he can buy for £1?

stickers
(b)

How much change should John get from £1?

p

Ann flies from London to Montego Bay.

At Gatwick Airport her suitcase is weighed and the scales show 15.7 kg.

In Jamaica she buys four presents for her family.

They weigh:

4 kg,   2.50 kg,   0.75 kg,   3.60 kg.

(a)

What is the total weight of these presents in kilograms?

kg
(b)

Ann puts the presents in her case when she packs it to fly home. What does it weigh now?

kg
(c)

If her suitcase now weighs more than 20 kg, there is an extra charge. She has to pay £1.50 for every kg or part kg over 20 kg.
How much does Ann have to pay?

£