Unit 2: Section 1 - Standard Form With Negative Indices Examples And Worksheets Page 14
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14Write the following in standard form correct to 3 significant figures:
11 (1.36 3 10
)
2
12 (3.75 3 10
)
2
3 (4.35 3 10
)
2
23
25
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____________
_____________
√
3.85 3 10
29
____________
√
13
5.785 3 10
14
212
1.47 3 10
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15 If p 5 9.47 3 10
and q 5 4.31 3 10
, find the following in standard form correct to
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3 significant figures.
(
p
)
2
__
a pq
b pq
2
c p
2
d
q
q
16 The smallest mammal is the Kitti’s hog-nosed bat in Thailand which has a body length of
29 mm. Find this length in km in standard form correct to 3 significant figures.
17 The biggest known star is the M-class supergiant Betelgeuse which has a diameter of
980 million km.
a Assuming it to be a sphere, calculate its surface area in mm
2
, giving your answer in
standard form correct to 3 significant figures.
b Given that the Earth has a radius of 6370 km, express its surface area as a percentage of
Betelgeuse’s. Give your answer in standard form correct to 3 significant fgures.
(The surface area of a sphere 5 4pr
2
, where r is the radius of the sphere.)
18 Kaylan Ramji Sain of India grew a moustache to a length of 339 mm from 1976 until 1993.
Calculate the speed of his moustache growth in km/s . Give your answer in standard form
correct to 3 significant figures.
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