What's the Point?
Whole numbers (e.g. -2, -1, 0, 1, 2, 3....) can only be written in one way, however other numbers can be written in two different ways:
1) As a fraction e.g. the number half way between 2 and 3 is shown as 2½. Note that sometimes you will see two and a half written as 2 1/2 ('cos it's easier to do this on the computer).
2) Or as a decimal e.g. 2.5.
Examples of a few other decimals:
0.1
is the same as 1/10
0.01
is the same as 1/100
0.001 is the same as 1/1000
0.3333333... is the same as 1/3
(divide 1 by 3 on
your calculator and you get a never ending string of "recurring"
3's after the decimal point).
Terminating Decimals
These are decimals which end straight away (1.5, 0.1234).
Non-Terminating
Decimals
These are numbers which have decimals which do not stop. These include numbers
such as Pi (
)or recurring decimals
like a third (1/3 - which we saw above).
Decimal
Places
Decimals may not be very short. Many answers you work out may give a long
string of decimal places which don't seem to end. Questions in an exam may
ask you to give answers to a specific degree of accuracy by writing answers
to a number of significant figures or to a number of decimal places. The tutorial
here tells you all about this.