Factors, Powers And Standard Form Worksheet Page 18
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21Exercise 10L
B
1
Write each of these numbers in standard form.
a
b
c
34 000
2600
740
d
200 000
e
6 030 000
f
22.6
2
Write each of these numbers in standard form.
a
b
c
0.0006
0.0032
0.003 09
d
0.445
e
0.01
f
0.000 009 8
3
Write each of these as a decimal number.
a
4
b
3
c
2 3 10
6.2 3 10
4.54 3 10
23
d
2.07 3 10
e
7.9 3 10
7
f
4.551 3 10
21
26
4
Write these numbers in order of size, starting with the smallest.
3
4
7
8.04 3 10
4.8 3 10
9.31 3 10
3.2 3 10
8.66 3 10
1 3 10
21
22
21
5
In the 2001 census the population of the UK was recorded as 58 789 194.
Round this number to 3 signifi cant fi gures and write your answer in standard form.
6
The table shows the masses of atoms of different elements.
Write the elements in order of mass, smallest fi rst.
Substance
Mass of atom (kg)
carbon
2.0 3 10
226
plutonium
4.1 3 10
-25
gold
3.3 3 10
225
iron
9.1 3 10
226
hydrogen
1.7 3 10
227
tungsten
3.1 3 10
225
B
7
A human hair has a diameter of 0.002 54 cm.
Write this in metres using standard form.
2
AO
Calculating with numbers in standard form
To multiply or divide numbers in standard form you multiply or divide each part separately. You
can use the laws of indices to convert your answer back into standard form if necessary.
To add or subtract numbers in standard form you write them as decimal numbers fi rst. Then you
add or subtract. Finally, you write your answer in standard form.
10.6 Laws of indices and standard form
175
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