Indices, Standard Form And Surds Worksheet Page 15
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17Chapter 25 Indices, standard form and surds
B
a
Write 150 million in standard form.
6
The distance of the Sun from the Earth is 150 million kilometres.
Change 150 million kilometres to metres. Give your answer in standard form.
b
The number of atoms in one kilogram of helium is 1.51 10
26
7
AO 2
Calculate the number of atoms in 20 kilograms of helium.
Give your answer in standard form.
June 2007
Work out
8
1
1
1
1
__
__
__
__
a
9
b
10 0
c
8
d
6 4
2
2
3
3
Work out
9
1
1
1
__
__
__
a
9
b
49
c
125
d
8
2
3
3
0.5
Work out
10
1
1
__
__
a
4
b
8
2
3
June 2009
11
Planet
Average distance from the Sun in km
AO 2
A O 3
Mercury
5.8 10
7
Venus
1.1 10
8
Earth
1.5 10
8
Mars
2.3 10
8
Jupiter
7.8 10
9
Saturn
1.4 10
9
Uranus
2.9 10
9
Neptune
4.5 10
9
Pluto
5.9 10
9
The table above gives the average distance in kilometres of the nine major planets from the Sun.
Which planet is approximately 4 times further away than Mercury?
a
How far apart are the orbits of Neptune and Pluto?
b
Which planet is about half the distance from the Sun as Uranus?
c
Which planet is 40 times further away from the Sun than Venus?
d
A probe was sent from the Earth to Mars. If it took one year to reach Mars, what average speed
e
would it have to travel? Give your answer in km/hr.
Estimate the value of each of the following using standard form.
12
8700 0.000 198
______________
a
672 000 0.003 42
b
(0.0543 693)
2
c
278 50
Work out (3.2 10
) (4.5 10
).
5
4
13
Give your answer in standard form correct to 2 signifi cant fi gures.
June 2005
A
a
Write the number 40 000 000 in standard form.
14
b
Write 1.4 10
as an ordinary number.
5
c
Work out (5 10
5
) (6 10
9
). Give your answer in standard form.
Nov 2009
624
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