Unit 2: Section 1 - Standard Form With Negative Indices Examples And Worksheets Page 10

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9 A nanometre is 10
metres.
29
a How many nanometres are there in 200 km?
b How many km are there in 10
18
nanometres?
10 A micrometre is 10
metres.
26
a How many micrometres are there in 5000 km?
b How many km are there in 10
15
micrometres?
Converting areas
A diagram is useful, as shown in the following examples.
Example XX
2
A rectangle measures 1 m by 2 m. Find the area in mm
.
1 m is 1000 mm.
2 m
2 m is 2000 mm.
So the diagram is as shown on the right.
1000 mm
1 m
So the area is 1000 3 2000 mm
2
5 2 000 000 mm
2
5 2 3 10
6
mm
2
2000 mm
Example XX
Change 30 000 cm
2
to m
2
.
1 m
1 m
2
5 1 m 3 1 m
5 100 cm 3 100 cm
100 cm
1 m
5 10 000 cm
2
30 000
_______
So 30 000 cm
2
m
2
5
10 000
100 cm
2
5 3 m
Exercise XX
Fill in the gaps in the following table.
km
2
m
2
cm
2
mm
2
1
2
2
4
3
50
4
80
5
6 3 10
6
6
3 3 10
7
7
10
13
14
8
10
19

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