Units Of Measurement And Applications Worksheet Page 3
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44EXERCISE 2A
1
Complete the following to round:
a
5368 to 3 signifi cant fi gures .
The fi rst non-zero digit is ____. This is the fi rst signifi cant fi gure. T he third signifi cant fi gure is ____.
The digit after this is smaller than/bigger than/equal to 5, indicating that, when rounded, the number is closer
to ____ than to ____. Thus, rounded to 3 signifi cant fi gures, 5368 ≈ ____ .
b
0.062 53 to 3 signifi cant fi gures.
The fi rst non-zero digit is ____. This is the fi rst signifi cant fi gure. T he third signifi cant fi gure is ____.
The digit after this is smaller than/bigger than/equal to 5, indicating that, when rounded, the number is closer
to ____ than to ____. Thus, rounded to 3 signifi cant fi gures, 0.062 53 ≈ ____ .
2
Round the following to 1 signifi cant fi gure.
a
b
c
d
42 600
59
4.6
108
e
f
g
h
0.6529
0.0082
0.025
990
3
Round the following to 2 signifi cant fi gures.
a
b
c
d
290 365
3960
24.9
2653
e
f
g
h
8.63
0.0487
0.000 162 8
0.003 97
4
Round the following to 3 signifi cant fi gures.
a
b
c
d
3688
20 657
154 299
813.4
e
f
g
h
14.294
0.003 508 1
0.039 14
1.999
5
Round the following to:
i
ii
iii
1 signifi cant fi gure
2 signifi cant fi gures
3 signifi cant fi gures.
a
b
c
d
e
17.256
0.450 72
521 500
8.045
0.002 095
2B
Scientific notation
Scientific notation
14F
Scientifi c (or standard ) notation is a convenient way of writing very large and very small numbers. A number
written in scientifi c notation is written as the product of a number between 1 and 10 and a power of 10; that is,
14G
it is put in the form A × 10
n
where A lies between 1 and 10, and n is an integer (whole number).
14H
WORKED EXAMPLE 1
14J
State whether the following numbers are expressed in scientifi c notation.
5.3 × 10
78 × 10
4.9 × 10 000
3 × 10
−4
a
7
b
5
c
d
e
294 000
Solve
Think
Apply
a
Yes
The fi rst number in the product (5.3) is between 1 and 10, the
A number is written
7
second number (10
) is a power of 10.
in scientifi c notation
if it is written as the
b
No
The fi rst number (78) is not between 1 and 10.
product of a number
c
No
The second number (10 000) is not written as a power of 10.
between 1 and 10 and
d
Yes
The fi rst number in the product (3) is between 1 and 10, the
a power of 10.
−4
second number (10
) is a power of 10.
e
No
294 000 is not written as a product of two numbers.
Chapter 2
Units of measurement and applications
37
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