# Chapter 5 - Number Theory and the Real Number System - 5.6 Exponents and Scientific Notation - Exercise Set 5.6 - Page 321: 114

The amount of money made by motion pictures in year 2005 is $8.832\times {{10}^{9}}$dollar.

#### Work Step by Step

From the given data to calculate the amount of money made by motion picture, multiply both 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} & 1380\text{ million}=1380\times {{10}^{6}} \\ & =\left( 1.380\times {{10}^{3}} \right)\times {{10}^{6}} \\ & =1.380\times \left( {{10}^{3+6}} \right) \\ & =1.380\times {{10}^{9}} \end{align} Average Price per ticket = \$ 6.40 Amount of money made is: \begin{align} & \text{The number of tickets sold }\!\!~\!\!\text{ Average }\!\!\times\!\!\text{ Price per ticket}=\left( 1.380\times {{10}^{9}} \right)\times \left( 6.40 \right) \\ & =8.832\times {{10}^{9}} \end{align} Hence, the amount of money made by motion pictures in year 2005 is $8.832\times {{10}^{9}}$dollar.

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