Decimals And Ratio Worksheet Page 9
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13STRENGTHEN
Master
Check
Extend
Test
P135
P149
P155
P159
8
8
Rearrange these numbers in
Rearrange these numbers in
ascending
ascending
order (smallest fi rst).
order (smallest fi rst).
Q8 hint
6 Strengthen
7.29, 7.88, 7.605, 7.325, 7.52, 7.22, 7.292, 7.50, 7.4, 7.61
7.22, 7.29, …
7.88
Use a number line to help.
7.00
7.50
8.00
9 Rearrange these numbers in descending order (largest fi rst).
You will:
−7.13, −6.68, −4.80, −1.48, −7.3, −0.98, −1.62, −5.05, −4.2, −2.18
•
Strengthen your understanding with practice.
10 A satellite tracking device measures distances on Earth in
Q10 hint
kilometres to four decimal places.
Look at the 4th decimal place to
Distance A
18.8177 km
decide whether to round up or down.
Distance B
17.2264 km
Ordering and rounding
Distance C
15.8191 km
Q1a Strategy hint
Distance D
15.0941 km
1 Round each number to the nearest 1000.
Draw a number line to help.
Q11 hint
Distance E
12.6015 km
a 14 526
b 47 851
c 39 205
d 83 764
14 000
14 500
15 000
Round each distance to three decimal places.
Decide which number is greater.
2 The number of cars entering the London Congestion Zone is recorded
Put the wider end of the symbol next
11 Copy and complete these. Put the correct sign, < or >, between
each day during the week.
to the greater number.
each pair of decimal numbers.
Q2 Strategy hint
Day
Mon
Tue
Wed
Thu
Fri
Sat
Sun
a 6.6
6.13
b 4.4
4.51
c 6.5
6.405
u
u
u
Draw a number line to help.
Number
174 567 158 211 162 421 143 896 136 491 168 504 123 855
d 5.1
5.368
e 5.21
5.201
f 15.45
15.445
u
u
u
Q11a Strategy hint
170 000
175 000
180 000
of cars
Look at the whole numbers fi rst, then
12 The diagram shows a rectangular fl ower bed.
Round each number to the nearest 10 000.
the tenths, then the hundredths, …
3 Round each number to one decimal place.
Q3a Strategy hint
2.5 m
flower bed
a 3.67
b 14.56
c 2.06
d 3.65
You can use number lines for
Q12a Strategy hint
decimals too.
3.6
3.65
3.7
4 Round each number to two decimal places.
4.1 m
What is easy to multiply but close to
a 5.128
b 4.865
c 12.476
d 26.048
a Which is the best estimate to use for the calculation 2.5 × 4.1?
the original numbers?
Q4a Strategy hint
5
Real
In a time trial in a velodrome (cycling track), riders complete 1 km
3 × 4.1
2.5 × 4
3 × 4
on their own as fast as they can. Here are the times (in seconds) for
Use a number line.
b Work out 25 × 41
seven riders.
5.120
5.125
5.130
c Use your answers to parts a and b to work out 2.5 × 4.1 to give
A 54.194, B 53.696, C 55.103, D 53.656, E 54.725, F 59.308, G 50.514
Q13 hint
you the area of the fl ower bed.
Who came fi rst, second and third in this race?
1 Estimate.
13 Petrol costs £1.37 per litre.
Q5 Strategy hint
6 Write each number as millions.
2 Work out 137 × 245.
How much does 24.5 litres of petrol cost?
Parts a and d have been done for you.
3 Put in the decimal point.
List the times in a column with the
4 Round answers in pounds to two
decimal points lined up.
a 2 000 000 = 2 million
b 8 000 000 =
million
u
Place-value calculations
decimal places.
Look at the whole number parts fi rst,
2.7
270
c 12 000 000 =
million
d 8 600 000 = 8.6 million
u
then the tenths, …
2.7
270
1 Here is a spider diagram for 27 showing
e 7 400 000 =
million
f
15 700 000 =
million
u
u
the links between multiplying and dividing
27
by powers of 10.
7
Real
These are Sunday night TV viewing fi gures.
Draw a spider diagram like this for 157.
0.27
Programme
Viewers
2700
0.27
2700
Q7 hint
Downton Abbey
9 623 145
By Any Means
3 450 238
2 Draw a similar spider diagram for each of these numbers.
9 623 145 = 9.623 145 million
= 9.
u
million (1 d.p.)
Countryfi le
6 285 016
a 57
b 101
c 45.2
d 2.8
The Crane Gang
926 818
3 Multiply each number by 0.1
X Factor
9 528 586
a 9.06
b 4.73
c 6.43
Round each number to a decimal number of millions to one decimal
4 Multiply each number by 0.01
place.
a 3.42
b 1.14
c 7.36
d 6.214
e 57.972
f 61.03
Topic links: Area, Volume, Measures
151
Unit 6
Decimals and ratio
152
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