a. (3.26 × 10^4) (1.54 × 10^6) b. (8.39 × 10^7) (4.53 × 10^9)

Question

Perform each of the following calculations. Round off  answers to three digits.

a. (3.26 × 10⁴) (1.54 × 10⁶) 

b. (8.39 × 10⁷) (4.53 × 10⁹)

c. \(\frac{8.94\times 10^6}{4.35\times 10^4}\)

d. \(\frac{(9.28\times 10^9)\times (9.9\times 10^{-7})}{(511)\times (2.98\times 10^{-6})}\)

Answer 1

a. (3.26 × 10⁴) (1.54 × 10⁶) = 5.0204 × 10⁴⁺⁶ 

= 5.02 × 10¹⁰

b. (8.39 × 10⁷) (4.53 × 10⁹) = 38.0067 × 10⁷⁺⁹

= 38.0067 × 10¹⁶ 

= 3.80 x 10¹⁷

c. \(\frac{8.94\times 10^6}{4.35\times 10^4}\) = 2.055 x 10^6-4

= 2.06 x 10²

d. \(\frac{(9.28\times 10^9)\times (9.9\times 10^{-7})}{(511)\times (2.98\times 10^{-6})}\) = 0.06033 x 10^9-7-(-6)

= 0.06033 x 10⁸

= 6.03 x 10⁶