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 322: 146

Answer

Values of provided expressions are: \[\begin{align} & \text{Expression }79:\left( 2\times {{10}^{3}} \right)\left( 3\times {{10}^{2}} \right)=\underline{\text{600000}} \\ & \text{Expression }80:\left( 5\times {{10}^{8}} \right)\left( 2\times {{10}^{-4}} \right)=\underline{100000} \\ & \text{Expression }81:\left( 2\times {{10}^{9}} \right)\left( 3\times {{10}^{-5}} \right)=\underline{6000} \\ & \text{Expression }82:\left( 4\times {{10}^{8}} \right)\left( 2\times {{10}^{-4}} \right)=\underline{8000} \\ \end{align}\]

Work Step by Step

Try to solve the expressions with the help of TI-83 calculator: Steps to solve the expression 79: Step 1: Switch on the calculator. Step 2: Enter the expression, for that press the following keys in sequence: \[2,\text{ }2\text{nd}\left( \text{shift key} \right),\text{ EE},\text{ }3,\text{ }\times ,\text{ }3,\text{ }2\text{nd}\left( \text{shift key} \right),\text{ EE},\text{ }2\] Step 3: Press ENTER key to get your answer. Hence, the value of the given expression is: 600000. Steps to solve the expression 80: Step 1: Switch on the calculator. Step 2: Enter the expression, for that press the following keys in sequence: \[5,\text{ }2\text{nd}\left( \text{shift key} \right),\text{ EE},\text{ 8},\text{ }\times ,\text{ 2},\text{ }2\text{nd}\left( \text{shift key} \right),\text{ EE},\text{ }(-)\text{, 4}\] Step 3: Press ENTER key to get your answer. Hence, the value of the given expression is: 100000. Steps to solve the expression 81: Step 1: Switch on the calculator. Step 2: Enter the expression, for that press the following keys in sequence: \[2,\text{ }2\text{nd}\left( \text{shift key} \right),\text{ EE},\text{ 9},\text{ }\times ,\text{ }3,\text{ }2\text{nd}\left( \text{shift key} \right),\text{ EE},\text{ (}-\text{), 5}\] Step 3: Press ENTER key to get your answer. Hence, the value of the given expression is: 6000. Steps to solve the expression 82: Step 1: Switch on the calculator. Step 2: Enter the expression, for that press the following keys in sequence: \[4,\text{ }2\text{nd}\left( \text{shift key} \right),\text{ EE},\text{ 8},\text{ }\times ,\text{ 2},\text{ }2\text{nd}\left( \text{shift key} \right),\text{ EE},\text{ (}-\text{), 4}\] Step 3: Press ENTER key to get your answer. Hence, the value of the given expression is: 8000.
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