Indices, Standard Form And Surds Worksheet Page 4
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1725.2 Using standard form
Example 2
Write these numbers in standard form.
a
50 000
b
34 600 000
c
682.5
50 000 5 10 000
a
4
5 10
Use 3.46 not 34.6 or 346 as
b
34 600 000 3.46 10 000 000
3.46 is between 1 and 10.
7
3.46 10
c
682.5 6.825 100
2
6.825 10
Write as an ordinary number
8.1 10
6 10
Example 3
a
5
b
8
5
a
8.1 10
8.1 100 000
810 000
8
b
6 10
6 100 000 000
600 000 000
Exercise 25B
B
Write these numbers in standard form.
1
700 000
600
2000
900 000 000
80 000
a
b
c
d
e
Write these as ordinary numbers.
2
6 10
1 10
8 10
3 10
7 10
a
5
b
4
c
5
d
8
e
1
.
Write these numbers in standard form
3
43 000
561 000
56
34.7
60
a
b
c
d
e
Write these as ordinary numbers.
4
3.96 10
6.8 10
8.02 10
5.7 10
9.23 10
a
4
b
7
c
3
d
1
e
0
In 2008 there were approximately 7 000 000 000 people in the world. Write this number in standard form.
5
The circumference of Earth is approximately 40 000 km. Write this number in standard form.
6
Example 4
Write in standard form
a
0.000 000 006
b
0.000 56
0.000 000 006 6 0.000 000 001
.
a
___________
1
0.000 000 001 is equivalent to
1 000 000 000
__________
1
6
1 000 000 000
9
__
a
n
1
__
1
Using
6
a
n
10
6 10
9
0.000 56 5.6 0.0001
b
_____
1
5.6
10 000
Use 5.6 rather than 56 as 5.6 is between 1 and 10.
4
__
1
5.6
10
5.6 10
4
613
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