Decimals And Ratio Worksheet Page 2
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14
Real
The graph shows the population of the UK between 2004 and 2012.
6.2
Place-value calculations
United Kingdom population
64
63
You will learn to:
62
•
Multiply larger numbers
61
•
Multiply decimals with up to two decimal places
60
•
Multiply any number by 0.1 and 0.01
59
58
57
2004 2005 2006 2007 2008 2009 2010 2011 2012
Year
Year
Y
Fluency
Source: ONS
•
What does the ‘1’ represent in
a Describe what happened to the UK population between 2004 and 2012.
0.1 and 0.01?
•
How do you write 0.3 and 0.07
b What was the population in 2005 to the nearest million?
as fractions?
c In which years was the population 61 million to the nearest million?
Explore
Why learn this?
Does multiplying one number by
15 Copy and complete these. Put the correct sign, < or >, between each pair of numbers.
Metric measurements use decimals. You need
another always make it bigger?
a 1.064
u
1.022
b 6.242
u
6.224
to calculate with decimals to fi nd lengths and
c 7.737
7.739
d 0.06852
0.06812
areas.
u
u
16 Rearrange these numbers in descending order.
−0.029, −0.0205, −0.092, −0.0925, −0.052,
Exercise 6.2
−0.0209, −0.0592, −0.095, −0.0529
1 Work out
Key point
17 Work out the length of one side of a square with perimeter
a 45
b
53
c
32
d 267
a 10 cm
b 24.3 cm
For most calculations, an appropriate
× 7
× 28
× 17
× 15
degree of accuracy is a value you
c 13.65 cm
d 1.526 km
can measure accurately.
Round all your answers to an appropriate degree of accuracy.
2 Work out
18 Copy and complete these. Put the correct sign, < or >, between each pair of numbers.
a 63 × 10
b 182 × 100
c 430 ÷ 10
d 4300 ÷ 100
a −2.078
b −8.27
u
−2.087
u
−8.72
3 Estimate these by rounding one or both numbers.
c −6.26
−6.25
d −0.0532
−0.0530
u
u
a 50 × 0.8
b 5.3 × 7
c 19.9 × 0.5
d 134 × 11
4 Copy and complete.
Investigation
Real / Finance
137
Petrol and diesel are sold by the litre. The price is often given to one decimal place.
× 245
For example, you might see petrol at 132.9p per litre.
←
Actual prices need to be rounded when the customer has fi nished pumping fuel.
Part 1 hint
137 × 5
←
137 × 40
1 Choose some volumes of petrol in whole numbers of litres.
Try 2 litres, 5 litres, 10 litres.
Will the price need to be rounded up or down?
←
137 × 200
2 Why do you think petrol stations give the price as a decimal number of pennies?
←
Add these together
Worked example
19
Explore
How many votes were cast in the X Factor fi nal?
Is it easier to explore this question now you have completed the lesson?
Work out 2.6 × 3.2
Estimate: 3 × 3 = 9
What further information do you need to be able to answer this?
2 6
20 Refl ect In this lesson you have been doing lots of work with decimals.
x
3 2
Use a standard method to work out 26 × 32
Imagine someone had never seen a decimal point before.
5 2
How would you defi ne it?
+ 7 8 0
How would you describe what it does?
Use your estimated answer to see
8 3 2
where to put the decimal point.
Write a description in your own words.
2.6 x 3.2 = 8.32
Compare your description with others in your class.
137
Theta 2, Section 6.1
Unit 6
Decimals and ratio
138
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