Question

Express the number appearing in the following statements in standard form.
(i) 1 micron is equal to \(\frac{1}{1000000}\) m
(ii) Charge of an electron is 0.000,000,000,000,000,000,16 coulomb.
(iii) Size of a bacteria is 0.0000005 m
(iv) Size of a plant cell is 0.00001275 m
(v) Thickness of a thick paper is 0.07 mm

Answer 1

(i) 1 micron is equal to \(\frac{1}{1000000}\) m
\(\frac{1}{1000000}\) = 0.000001 = 1 × 10⁻⁶m

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(ii) 0.00000000000000000016

0.00000000000000000016 =\(\frac{16}{100000000000000000000}\)
= 1.6 × \(\frac{10 }{ 10^{20}}\)
= 1.6 × 10⁻¹⁹ coulomb

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(iii) 0.0000005 m
0.0000005 m = \(\frac{5}{10000000}\)
\(= \frac{5}{10^7}\)
= 5 × 10⁻⁷m

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(iv) 0.00001275 m

0.00001275 m = \(\frac{1275}{100000000}\)
= 1.275 × \(\frac{10^3}{10^8}\)
= 1.275 × 10⁻⁵m

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(v) 0.07 mm
0.07 mm =\(\frac{ 7}{100}\)
\(= \frac{7}{10^2}\)
= 7 × 10⁻²mm