Units Of Measurement And Applications Worksheet Page 5
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443
Complete the following to write the number in scientifi c notation.
a
243 000
Position the decimal point between the fi rst two digits → ________.
The number of places to the original position of the decimal point = _____ to the _____
= +_____.
Hence, 243 000 = _____ × 10
□
b
0.000 586
Position the decimal point between the fi rst two digits → ________.
The number of places to the original position of the decimal point = _____ to the _____
= −_____.
Hence, 0.000 586 = _____ × 10
□
4
Use the method of Worked Example 2 to write each number in scientifi c notation.
a
b
c
d
526 000
28 000
7 000 000
49 800
e
f
g
h
28 000 000
603 000 000
910 000
13 200 000 000
5
Use the method of Worked Example 2 to write each number in scientifi c notation.
a
b
c
d
0.000 43
0.008 21
0.000 007
0.000 029
e
f
g
h
0.065
0.000 387
0.000 008 2
0.000 06
WORKED EXAMPLE 3
Write the following as ordinary (or basic) numbers.
4.83 × 10
9.2 × 10
−6
a
b
7
Solve
Think
Apply
As the power of 10 is +7, the decimal point is
a
48 300 000
The magnitude of the power of
moved 7 places to the right.
10 tells us how many places to
move the decimal point.
48 300 000
so 4.83 × 10
= 48 300 000
If the power of 10 is positive,
7
move the decimal point to the
As the power of 10 is −6, the decimal point is
b
0.000 009 2
right. If the power is negative,
moved 6 places to the left.
move it to the left.
0 000 009 2
so 9.2 × 10
= 0.000 009 2
−6
6
Complete the statements to write each number as an ordinary number.
5.48 × 10
a
6
Move the decimal point ____ places to the ____. Hence, 5.48 × 10
= ________.
6
3.09 × 10
−5
b
Move the decimal point ____ places to the ____. Hence, 3.09 × 10
= ________.
−5
7
Express these scientifi c numbers as ordinary numbers.
3.4 × 10
8.3 × 10
2.94 × 10
2.58 × 10
a
6
b
8
c
7
d
5
5.26 × 10
3.02 × 10
2.9 × 10
8.75 × 10
e
5
f
12
g
7
h
8
8
Write the basic number for:
5.9 × 10
3.2 × 10
7.1 × 10
2 × 10
−4
−6
−8
−3
a
b
c
d
8 × 10
2.64 × 10
8.67 × 10
2.97 × 10
−7
−5
−9
−6
e
f
g
h
Chapter 2
Units of measurement and applications
39
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