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You need to be able to handle numbers of this sort without a calculator. Basically, you need to remember the following. For multiplication, add exponents, and for division, subtract exponents. Example (4.5x10^{5})(3.0x10^{8}). Explanation The answer is 1.35x10^{14} (or rounded, 1.4x10^{14}). In solving this, think: 3 x 5 = 15, and then add the exponents: 5 + 8 = 13. Move the decimal to the right of the first nonzero digit, or one place to the left. Example Try another one: . Explanation The answer is 3.4 x10 ^{12}. In solving this, think: 6.8/2 = 3.4, and then subtract the exponents: (2)  (10) = 12.
