Decimals And Ratio Worksheet
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Decimals and ratio
7 Round each number to two decimal places.
Key point
a 2.536
b 7.489
c 5.083
To round a decimal to two decimal
d 6.199
e 45.157
f 23.007
places (2 d.p.), look at the digit in
MASTER
Check
Strengthen
Extend
Test
8 Write each set of decimal numbers in ascending order.
the third decimal place.
P149
P151
P155
P159
a 1.093, 0.08666, 1.232, 0.20071, 0.1258
6.1
Ordering decimals and rounding
b 4.227, 4.051, 4.234, 4.735, 3.292
Key point
c 0.7113, 0.0732, 7.001, 0.7499, 7.0932
When ordering decimals, look at the
You will learn to:
9 Rearrange these numbers in descending order.
place value of each digit.
•
Round numbers to an appropriate degree of accuracy
_
_
3
3
24.457, 25.645, 22.961, 24.833, 25.622
0.3 =
, 0.03 =
10
100
•
Order positive and negative numbers, including decimals.
So 0.3 is larger than 0.03.
10 Rearrange each set of numbers in ascending order.
a −8.12, −0.89, −5.76, −3.11, −1.88
b −0.125, −0.845, −0.149, −0.135, −0.0122
Q8 Literacy hint
c −0.033, −0.0309, −0.0342, −0.0325, 0.0324
Fluency
Ascending order means getting
Ascending order means getting
Ascending order
7.4, 7.7, 7.1, 7.6, 7.8
bigger. Descending order means
Descending order means
Descending order
Worked example
•
Which of these decimals are closer to 7 and
getting smaller.
which are closer to 8?
Write 1 662 682 as a decimal number of millions to one decimal place .
•
How do you decide whether to round up or
Explore
1 662 682 = 1.662682 million
Key point
down?
Write as a decimal number of millions.
Why learn this?
How many votes were cast
•
Which symbol, < or >, should go between
We don’t often use precise values in our
1.7 million
To save writing all the zeros, you
in the X Factor fi nal?
the numbers 7.4 and 7.7?
day-to-day conversations.
can write
Round to 1 decimal place (1 d.p.)
1 000 000 as 1 million
2 500 000 as 2.5 million.
Exercise 6.1
11
Real
The table shows the populations of 10 capital cities in Europe.
Write each population as a decimal number of millions to one decimal
1 Round each number to the nearest 100.
place.
a 245
b 878
c 495
d 523
e 1449
f 67
City
Actual population
Moscow
11 541 000
2 Write each number in words.
London
8 174 100
a 4013
b 23 527
c 146 005
d 1 529 400
Berlin
3 520 000
Q3 Literacy hint
3 Rearrange these numbers in ascending order.
Madrid
3 233 527
Ascending order means in order of
Ascending order means in order of
Ascending order
27, 14, 103, −11, 83, 10.1, −10.1, 38.9
Rome
2 792 508
size with the lowest number fi rst.
4 Round each number to the nearest 1000.
Paris
2 268 265
a 2455
b 5199
c 12 875
Budapest
1 728 718
d 45 812
e 546 848
f 623 399
Vienna
1 552 789
Key point
Prague
1 227 332
5 Round each number to the nearest 10 000.
Dublin
1 045 769
To round to the nearest 10 000, look
a 84 562
b 47 487
c 9458
at the digit in the thousands column.
Key point
d 48 099
e 754 397
f 873 822
12 Round each number to three decimal places.
To round a decimal to three decimal
a 4.5391
b 29.7965
c 69.0852
6
Real
This table shows the total attendance at fi ve Premier League
places, look at the digit in the fourth
d 85.8008
e 72.7576
f 3.2567
Key point
football teams’ grounds in the 2007/08 season.
decimal place.
Round each value to the nearest 100 000.
To round to the nearest 100 000,
13
Reasoning / Real
In a restaurant the tips are divided equally
look at the digit in the ten thousands
Team
Actual attendance
between the workers.
column.
Work out how much each worker receives each day.
Arsenal
1 141 335
Aston Villa
760 560
Day
Mon
Tue
Wed
Thu
Fri
Sat
Sun
Chelsea
786 549
Total tips (£)
55
68
71
86.50
94
124.50
100
Everton
702 142
Number of workers
6
7
6
8
7
12
9
Liverpool
827 111
Discussion
Did you round up or down? Explain.
Topic links : Metric measures
Subject links : Geography (Q11, Q14)
135
Unit 6
Decimals and ratio
136
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