Explanation Definition used: A number expressed in the form a × 10 n , 1 ≤ a ≤ 10 , where a is in decimal form and n is an integer, is said to be in scientific notation. Theorem used: Exponent Properties For n and m integers and a and b real numbers, a m a n = a m + n a m a n = a m − n = 1 a n − m , a ≠ 0 Calculation: Consider the number 9,600,000,000 ( 1,600,000 ) ( 0 .000000 25 ) . The above number can be expressed as follows. 9,600,000,000 ( 1,600,000 ) ( 0 .000000 25 ) = 9 .6 × 10 9 ( 1 .6 × 10 6 ) ( 2 .5 × 10 − 7 ) Therefore, by the above stated definition, the scientific notation of the number 9,600,000,000 ( 1,600,000 ) ( 0 .000000 25 ) is 9 .6 × 10 9 ( 1 .6 × 10 6 ) ( 2 .5 × 10 − 7 ) . Now, simplify the expression 9 .6 × 10 9 ( 1 .6 × 10 6 ) ( 2

Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

14th Edition

ISBN: 9780134668574

Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen, Christopher J. Stocker

Publisher: PEARSON

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Chapter A.5, Problem 47E

To determine

To convert: The number 9,600,000,000(1,600,000)(0.000000 25) to scientific notation and simplify it.

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Chapter A.5, Problem 46E

Chapter A.5, Problem 48E

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Chapter A.5 Solutions

Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)

Ch. A.5 - Simplify, and express the answers using positive...Ch. A.5 - Prob. 2MP Ch. A.5 - (A)Write each number in scientific notation:...Ch. A.5 - In Problems 114, simplify and express answers...Ch. A.5 - Prob. 2E Ch. A.5 - Prob. 3E Ch. A.5 - Prob. 4E Ch. A.5 - In Problems 114, simplify and express answers...Ch. A.5 - Prob. 6E Ch. A.5 - Prob. 7E

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The number 9,600,000,000 ( 1,600,000 ) ( 0 .000000 25 ) to scientific notation and simplify it.

Solution Summary: The author explains the scientific notation of the number 9,600,000,000left, where a is in decimal form and n is an integer.

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To convert: The number 9,600,000,000(1,600,000)(0.000000 25) to scientific notation and simplify it.

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Chapter A.5 Solutions