Interactive Maths Worksheets Developing & Refreshing Your Maths Skills Standard Form Page 2

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Interactive Maths Worksheets
Developing & Refreshing Your Maths Skills
Standard Form
Standard Form (Scientific Notation)
Standard form is a way of expressing large numbers in a more
manageable format. It is very lengthy to keep writing large figures
and there is more margin of error as there is always the risk of
leaving out or adding 0's.
0.0000003067 is easy to misread. Mistakes in a 0 here or there
will make a serious difference. 3.067 is much easier to read but
isn't correct.
Standard form gives a way to write very big and very small
numbers without getting lost in a whole string of 0's.
Numbers in Standard Form
A number conforms to Standard Form Index when it is written as:
n
a x 10
Where 'a' only has a single digit between 1 and 9 before the decimal
place and 'n' is an integer (a positive or negative whole number, or
0)
These two numbers multiplied together equal the value of the
intended number.
So:
3
1200 can be written as 1.2 x 10
(1.2 x 1000)
2
790 can be written as 7.9 x 10
(7.9 x 100)
-2
0.0371 can be written as 3.71 x 10
(3.71 ÷ 100)

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