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Contents
N4 Decimals and rounding
· AN4.1 Decimals and place value
· AN4.2 Terminating and recurring decimals
· AN4.3 Calculating with decimals
· AN4.4 Rounding
· AN4.5 Upper and lower bounds
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The decimal number system
The decimal number system allows us to use the digits 0 to 9
and the place value system to represent numbers of any size.
To represent whole numbers we label columns using
increasing powers of 10:
×10 ×10 ×10 ×10
s
nd
s
ds
nd
sa
its
ns
re
sa
ou
nd
Un
Te
ou
th
Hu
Th
n
Te
104 103 102 101 100
For example, 5 7 4 0 6
* of 53 © Boardworks Ltd 2005…read more

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The decimal number system
To represent fractions of whole numbers in our place value
system we extend the column headings in the other direction
by dividing by 10.
Starting with the tens column we have:
÷10 ÷10 ÷10 ÷10
s
hs
th
dt
nd
hs
its
ns
re
sa
nt
nd
Un
Te
Te
ou
Hu
Th
101 100 10-1 10-2 10-3
For example, 4 8 0 3 5
The decimal point
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The decimal number system
s
s
th
th
ds
nd
d
hs
re
its
ns
re
sa
nt
nd
nd
Un
Te
Te
ou
Hu
Hu
Th
102 101 100 10-1 10-2 10-3
2 4 3 5 7 4
WHOLE NUMBER PART DECIMAL PART
The decimal point separates the whole number part from the
fractional part.
We can think of the number in this example as:
5 7 4
243.574 = 200 + 40 + 3 + 10 + 100 + 1000
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Contents
N4 Decimals and rounding
· AN4.1 Decimals and place value
· AN4.2 Terminating and recurring decimals
· AN4.3 Calculating with decimals
· AN4.4 Rounding
· AN4.5 Upper and lower bounds
* of 53 © Boardworks Ltd 2005…read more

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