Units Of Measurement Worksheets Page 15
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32b
1
Look at the fourth signifi cant fi gure.
b
2
This digit is a 3, so it and the following digits are ignored.
-6
4.58 × 10
3
The decimal place must be moved 6 places right to be
between the fi rst 2 signifi cant fi gures.
c
1
Look at the fourth signifi cant fi gure.
c
2
This digit is an 8, so the third signifi cant fi gure must be
increased by 1. As this digit is a 9, the previous digit must
be increased until a number other than 9 is reached.
5.00 × 10
2
3
The decimal place must be moved 2 places left to be
between the fi rst 2 signifi cant fi gures.
REMEMBER
1.
A measurement is usually given to a required number of signifi cant fi gures.
2.
We round off using signifi cant fi gures by counting the fi rst non-zero digits. The same
rules are used to round off signifi cant fi gures as for decimal places. However, with
signifi cant fi gures zeros must be used to fi ll places to make sure all digits have the
same place value.
3.
Very large or very small measurements are written in scientifi c notation, correct to a
required number of signifi cant fi gures.
ExERCIsE
signifi cant fi gures
2C
1
Round each of the following off to the number of significant figures indicated.
WE 10
eBook
plus
eBook plus
a
b
24 587 258 (2)
236 500 258 (1)
c
8 782 568 (3)
d
4587 (1)
Digital doc
e
f
654 200 (1)
287.35 (3)
SkillSHEET 2.4
doc-1462
2
Round each of the following off to the number of significant figures indicated.
WE 11
Rounding to a
a
b
0.032 579 81 (2)
0.003 658 (1)
given number
c
0.001 498 758 (3)
d
6.256 677 158 (4)
of decimal
e
f
68.254 (3)
0.000 201 47 (1)
places
3
Write the distance 146 565 992 km correct to:
a
b
1 signifi cant fi gure
2 signifi cant fi gures
c
d
3 signifi cant fi gures
5 signifi cant fi gures.
4
When rounded to 2 significant figures, 0.035 81 is equal to:
MC
A
B
C
D
0.03
0.04
0.035
0.036
5
The distance between two cities is 2986 km. Rounded to 2 significant figures, this
MC
distance becomes:
A
B
C
D
29 km
2900 km
2986.00 km
3000 km
45.5698 = 45.57 when it is rounded to which degree of accuracy?
6
MC
A
B
2 decimal places
4 signifi cant fi gures
C
D
Both A and B
Neither A nor B
7
Write each of the following measurements in scientific notation, correct to 2 significant
WE 12
figures.
a
b
c
471 591 400 km
7 415 200 000 000 mm
12 850 t
d
0.002 369 g
e
0.222 221 L
f
0.002 99 s
59
Chapter 2
Units of measurement
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