Learning Enhancement Team
Worksheet:
Powers of 10 and
Standard Form
This worksheet has questions about the Powers of 10 and the standard form. The standard
form is shorthand used in describing vary large and very small numbers. A number is said to
be in standard form if it fits in the pattern: a  10n , where 1  a  10 and n is an integer.
Powers of 10 and
Standard Form
study guide
Model solutions to
this sheet
1.
Write the following as a single power of 10.
(a)
10  10  10  10  10
(b)
1000  10000
(c)
100  10000  1000
(d)
100  10000  1000  10
2.
Write the following numbers in standard form.
(a)
1000  1000
(b)
680000
(c)
3569
(d)
6400000
(e)
0.006
(f)
11.3564
(g)
0.000000654
(h)
657.35874
3.
Write the following numbers in full, not in standard form.
(a)
4.565  1013
(b)
7.651 105
(c)
10 6
(d)
6.954  107
(e)
4.69  1010
(f)
1.0654  103
4.
The speed of light is 299792458 ms-1, write it in standard form.
This worksheet is one of a series on
mathematics produced by the Dean of
Students' Office at the University of East
Anglia.
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