College Algebra (6th Edition)

Published by Pearson

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.2: 121

Answer

$4.064\times10^{9}$ chickens are eaten per year in the United States.

Work Step by Step

There are approximately $3.2\times10^{7}$ seconds in a year. According to the United States Department of Agriculture, Americans consume 127 chickens per second. How many chickens are eaten per year in the United States? Express the answer in scientific notation. $$3.2\times10^{7}\times127$$ 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. $=3.2\times10^{7}\times1.27\times10^{2}$ Regroup like terms then simplify. $=(3.2\times1.27)\times(10^{7}\times10^{2}$) $=4.064\times10^{(7+2)}$ $=4.064\times10^{9}$

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