Indices, Standard Form And Surds Worksheet Page 9
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17Chapter 25 Indices, standard form and surds
x 3.5 10
9
, y 4.7 10
5
6
Work out the following. Give your answer in standard form correct to 3 signifi cant fi gures.
xy
(
x
x
)
__
________
____
a
b
x(x 800y)
c
d
2
y
2
x 800y
2000
y
x 2.4 10
, y 9.6 10
7
5
6
Evaluate these expressions.
Give your answer in standard form correct to 3 signifi cant fi gures where necessary.
2
2
x
y
xy
2
x
__
______
_____
a
b
c
y
x y
x y
The distance of the Earth from the Sun is 1.5 10
8
km.
8
The distance of the planet Neptune from the Sun is 4510 million km.
Write in the form 1 : n the ratio
distance of the Earth from the sun : distance of the planet Neptune from the Sun
The mass of a uranium atom is 3.98 10
grams.
9
22
Work out the number of uranium atoms in 2.5 kilograms of uranium.
Mixed exercise 25G
B
Work out the value of these expressions.
1
a
3
0
b
6
c
7
d
5
1
2
3
(
)
(
)
(
)
1
1
2
(
_
)
3
_
_
5
_
3
1
1
e
f
g
h
1
4
9
2
2
Write these numbers in standard form.
2
a
45 000
b
0.000 62
c
894
d
0.007 21
e
100 000 000
f
0.000 000 000 007
g
90
h
0.16
Write these as ordinary numbers.
3
a
5.8 10
b
2 10
5
c
4.03 10
7
d
4 10
4
6
8.45 10
3.152 10
9.2 10
7 10
e
f
2
g
1
h
1
4
Write these in standard form.
4
278 10
0.087 10
89.2 10
5660 10
a
4
b
9
c
d
4
8
A
Work out and give your answer in standard form.
5
(5 10
) (7 10
)
(9 10
) (2 10
)
(8.4 10
) (2 10
)
a
3
9
b
c
6
7
5
5
d
(4.3 10
) (8 10
3
)
e
800 000 0.000 000 02
f
0.000 002 4 5 000 000
7
618
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