Question
Mathematics Question on Use of Exponents to Express Small Numbers in Standard Form
Express the number appearing in the following statements in standard form.
(i) 1 micron is equal to 10000001 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
(i) 1 micron is equal to 10000001 m
10000001 = 0.000001 = 1 × 10−6m
(ii) 0.00000000000000000016
0.00000000000000000016 =10000000000000000000016
= 1.6 × 102010
= 1.6 × 10−19 coulomb
(iii) 0.0000005 m
0.0000005 m = 100000005
=1075
= 5 × 10−7m
(iv) 0.00001275 m
0.00001275 m = 1000000001275
= 1.275 × 108103
= 1.275 × 10−5m
(v) 0.07 mm
0.07 mm =1007
=1027
= 7 × 10−2mm