Chapter 12: Exponents and Powers

(i) 0.0000000000085 = 0.0000000000085×(10¹²/10¹²) = 8.5 ×10^-12

(ii) 0.00000000000942 = 0.00000000000942×(10¹²/10¹²) = 9.42×10^-12

(iii) 6020000000000000 = 6020000000000000×(10¹⁵/10¹⁵) = 6.02×10¹⁵

(iv) 0.00000000837 = 0.00000000837×(10⁹/10⁹) = 8.37×10^-9

(v) 31860000000 = 31860000000×(10¹⁰/10¹⁰) = 3.186×10¹⁰

(i) 3.02×10^-6 = 3.02/10⁶ = 0 .00000302

(ii) 4.5×10⁴ = 4.5×10000 = 45000

(iii) 3×10^-8 = 3/10⁸ = 0.00000003

(iv) 1.0001×10⁹ = 1000100000

(v) 5.8×10¹² = 5.8×1000000000000 = 5800000000000

(vi) 3.61492×10⁶ = 3.61492×1000000 = 3614920

(i) 1 micron = 1/1000000

= 1/10⁶

= 1×10^-6

(ii) Charge of an electron is 0.00000000000000000016 coulombs

= 0.00000000000000000016×10¹⁹/10¹⁹

= 1.6×10^-19 coulomb

(iii) Size of bacteria = 0.0000005

=  5/10000000 = 5/10⁷ = 5×10^-7 m

(iv) Size of a plant cell is 0.00001275 m

= 0.00001275×10⁵/10⁵

= 1.275×10^-5m

(v) Thickness of a thick paper = 0.07 mm

0.07 mm = 7/100 mm = 7/10² = 7×10^-2 mm

Thickness of one book = 20 mm

Thickness of 5 books = 20×5 = 100 mm

Thickness of one paper = 0.016 mm

Thickness of 5 papers = 0.016×5 = 0.08 mm

Total thickness of a stack = 100+0.08 = 100.08 mm

= 100.08×10²/10² mm

mm