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Express the number appearing in the following statements in standard form.
(i) 1 micron is equal to 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

Solution:

Standard form of exponents is used to represent a very small or large number following a certain set of rules.

(i) 1 micron is equal to 1/1000000 m

1/1000000 = 0.000001 = 1 × 10⁻⁶m

(ii) 0.00000000000000000016

0.00000000000000000016 =16/100000000000000000000

= 1.6 × 10 / 10²⁰

= 1.6 × 10⁻¹⁹ coulomb

(iii) 0.0000005 m

0.0000005 m = 5/10000000

= 5/10⁷

= 5 × 10⁻⁷m

(iv) 0.00001275 m

0.00001275 m = 1275/100000000

= 1.275 × 10³/10⁸

= 1.275 × 10⁻⁵m

(v) 0.07 mm

0.07 mm = 7/100

= 7/10²

= 7 × 10⁻²mm

☛ Check: NCERT Solutions for Class 8 Maths Chapter 12

Video Solution:

Express the number appearing in the following statements in standard form. (i) 1 micron is equal to 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

Class 8 Maths NCERT Solutions Chapter 12 Exercise 12.2 Question 3

Summary:

The number appearing in the following statements are expressed in standard form as follows:(i) 1 micron is equal to 1/1000000 m = 1 × 10^-6m (ii) Charge of an electron is 0.000,000,000,000,000,000,16 coulomb = 1.6 × 10⁻¹⁹ coulomb (iii) Size of a bacteria is 0.0000005 m = 5 × 10⁻⁷m (iv) Size of a plant cell is 0.00001275 m = 1.275 × 10⁻⁵m (v) Thickness of a thick paper is 0.07 mm = 7 × 10⁻²mm

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