Indices, Standard Form And Surds Worksheet Page 8
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1725.2 Using standard form
Example 10
x 3.1 10
12
, y 4.7 10
11
x y
_____
Use a calculator to work out the value of
.
xy
Give your answer in standard form correct to 3 signifi cant fi gures.
(3.1 10
12
4.7 10
11
)
_______________________
Substitute the values into the expression.
12
11
(3.1 10
4.7 10
)
3.57 10
12
_____________
24
1.457 10
Write the number from your calculator correctly in
2.4502… 10
12
standard form showing more than 3 signifi cant fi gures.
2.45 10
12
Give your answer correct to 3 signifi cant fi gures.
Hint
Hint
Include brackets here to ensure that the
answer from the calculation on the top of
the fraction is divided by the answer to the
calculation on the bottom of the fraction.
Exercise 25F
Evaluate these expressions, giving your answers in standard form.
1
0.08 480
89000 0.0086
_________
_____________
a
500 600 700
b
0.006 0.004
c
d
180
48 0.25
65 120
8.82 5.007
________
__________
e
f
g
(12.8)
4
h
(36.4 24.2)
3
1500
10000
Evaluate these expressions. Give your answers in standard form.
2
a
(3.2 10
10
) (6.5 10
6
)
b
(1.3 10
7
) (4.5 10
6
)
c
(2.46 10
10
) (2.5 10
6
)
d
(3.6 10
20
) (3.75 10
6
)
Express as a number in standard form.
3
a
(3.2 10
) (6.5 10
6
)
b
(1.3 10
) (4.5 10
)
8
7
6
c
(2.46 10
) (2.5 10
6
)
d
(3.6 10
) (3.75 10
)
10
20
6
Evaluate these expressions. Give your answers in standard form correct to 3 signifi cant fi gures.
4
(3.5 10
) (6.5 10
)
(1.33 10
) (4.66 10
)
a
11
6
b
10
4
(5.3 10
) (6.45 10
)
(3.24 10
) (6.4 10
)
c
8
6
d
8
4
Express as a number in standard form correct to 3 signifi cant fi gures.
5
a
(3.5 10
11
) (6.5 10
)
b
(1.33 10
) (4.66 10
4
)
6
10
(5.3 10
) (6.45 10
)
(3.24 10
) (6.4 10
)
c
d
8
6
8
4
617
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