Exercise 2B
Question 1
Find each value
(a) 10-4
Sol :
$=\frac{1}{(10)^4}=\frac{1}{10000}$
(b) 10-7
Sol :
$=\frac{1}{(10)^7}=\frac{1}{10000000}$
(c) 10-8
Sol :
$=\frac{1}{100000000}$(d) 10-10
Sol :
$=\frac{1}{10000000000}$
Question 2
Write each number in scientific notation.
(a) 5,700,000
Sol :
=57×105
=5.7×106
(b) 8,19,000
Sol :
=819×103
=8.19×105
(c) 4,000,000,000
Sol :
=4×10-9
(d) 56,000
Sol :
=56×103
=5.6×104
Question 3
(a) 0.000053
Sol :
=53×10-6
=5.3×10-5
(b) 0.000000084
Sol :
=8.4×10-9
=8.4×10-8
(c) 0.0009
Sol :
=9×10-4
(d) 0.0603
Sol :
=603×10-4
=6.03×10-2
Question 4
Write each number in standard form.
(a) 5.7 x 103
Sol :
$=\frac{57 \times 1000}{10}$
=5700
(b) 6.39 x 105
Sol :
$=\frac{639 \times 100000}{100}$
=639000
(c) 1.71 x 106
Sol :
$=\frac{171 \times {10}^6}{{10}^2}$
=1710000
(d) 4.0 x 109
Sol :
$=4 \times {10}^{9}$
=4000000000
(e) 7.02 × 104
Sol :
$=\frac{702 \times 10^4}{10^2}$
=70200
Question 5
(a) 9.4 x 10-4
Sol :
$=\frac{94\times 10^{-4}}{10}$
=0.00094
(b) 2 x 10-3
Sol :
$=\frac{2}{1000}$
=0.002
(c) 5.01 x 10-2
Sol :
$=\frac{501\times 10^{-2}}{100}$
=0.0501
(d) 3.88 x 10-1
Sol :
$=\frac{388\times 10^{-1}}{10^2}$
=0.388
(e) 3.7×10-9
Sol :
$=\frac{37\times 10^{-9}}{10}$
=0.0000000037
Question 6
Write the following facts in scientific notation.
(a) The distance from the earth to the sun is 149600000000 m.
Sol : 1.496×1011 m
(b) the average diameter of a red blood cell is 0.000007 mm.
Sol : 7×10-6 mm
(c) Diameter of a wire in a computer chip is 0.000003 m.
Sol : 3×10-6 m
(d) Size of a plant cell is 0.00001275 m.
Sol : 1.275×10-5 m
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