## College Algebra (6th Edition)

Published by Pearson

# Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.2: 94

#### Answer

$3.772\times10^{13}$

#### Work Step by Step

$$(8.2\times10^{8})(4.6\times10^{4})$$ Regroup like terms then simplify $$=(8.2\times4.6)(10^{8}\times10^{4})$$ $$=37.72\times10^{(8+4)}$$ $$=37.72\times10^{12}$$ To convert a number into scientific notation, move the decimal point so that you have a result whose absolute value is between one and ten, including one. Multiply the result by ten with an exponent equal to the number of places you moved the decimal point. If the decimal was moved to the left, the exponent will be positive. If the decimal was moved to the right, the exponent will be negative. If the decimal was not moved, the exponent will be zero. $$=(3.772\times10^{1})\times10^{12}$$ $$=3.772\times10^{(1+12)}$$ $$=3.772\times10^{13}$$

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