Perform each of the following calculations : 1/(3.40 x 10^(24))

Question

Perform each of the following calculations :

(i) \(\frac{1}{3.40\times 10^{24}}\)

(ii) \(\frac{33}{9.00\times 10^{-4}}\)

(iii) \(\frac{1.4\times 10^9}{(2.77\times 10^3)\times (3.76\times 10^5)}\)

(iv) \(\frac{(4\times 10^{-3})\times (9.9\times 10^{-7})}{(789)\times (1.002\times 10^{-10})\times (0.3\times 10^2)}\) 

1/(3.40 x 10²⁴)

Answer 1

1/(3.40 x 10²⁴)

(i) \(\frac{1}{3.40\times 10^{24}}\) = 0.2941 x 10^-24

= 2.941 x 10^-25

= 2.9 x 10^-25

(ii) \(\frac{33}{9.00\times 10^{-4}}\) = 3.66667 x 10⁴

= 3.7 x 10⁴

(iii) \(\frac{1.4\times 10^9}{(2.77\times 10^3)\times (3.76\times 10^5)}\) = 0.1344 x 10^9-3-5

= 0.1344 x 10¹

= 1.3

(iv) \(\frac{(4\times 10^{-3})\times (9.9\times 10^{-7})}{(789)\times (1.002\times 10^{-10})\times (0.3\times 10^2)}\) = 0.16697 x 10^-3-7-(-10)-2

= 0.16697 x 10^-2

= 1.7 x 10^-3