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