Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 5 - Number Theory and the Real Number System - 5.6 Exponents and Scientific Notation - Exercise Set 5.6 - Page 321: 113

Answer

The amount of money made by motion pictures in year 2010 is \[1.0586\times {{10}^{10}}\]dollar.

Work Step by Step

From the given data to calculate the amount of money made by motion picturemultiply both the values. First convert the number of tickets and average price in Scientific notation. \[1\text{ million}=1\times {{10}^{6}}\] The number of tickets is: \[\begin{align} & 1340\text{ million}=1340\times {{10}^{6}} \\ & =\left( 1.340\times {{10}^{3}} \right)\times {{10}^{6}} \\ & =1.340\times \left( {{10}^{3+6}} \right) \\ & =1.340\times {{10}^{9}} \end{align}\] Average Price per ticket = $ 7.90 Amount of money made is: \[\begin{align} & \text{The number of tickets sold }\!\!~\!\!\text{ }\!\!\times\!\!\text{ Average Price per ticket=}\left( 1.340\times {{10}^{9}} \right)\times \left( 7.90 \right)=10.586\times {{10}^{9}} \\ & =1.0586\times {{10}^{10}} \end{align}\] Hence, the amount of money made by motion pictures in year 2010 is \[1.0586\times {{10}^{10}}\]dollar.
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