(a) Explanation Given Information: The number is 45 , 000 , 000 , 000 . Converting a positive number to scientific notation, Step 1: Position the decimal point to follow the first non-zero digit. Step 2: Determine the numeral for the exponent. Step 3: Determine the sign for the exponent as follows, If moving the decimal points makes the number less then exponent is positive, if it makes the number greater, then the exponent is negative and if the decimal point is not moved then the exponent is zero. Consider the standard number. 45 , 000 , 000 , 000 Mark the location to place the decimal point to the right of the number 4 because 4 is the first nonzero digit. Move the decimal point left thirteen places, so it is to the right of the first nonzero digit 4 (b) To determine The standard notation of 3.6 × 10 − 6 . (c) To determine The standard notation of the quotient 9.5 × 10 − 1 5 × 10 3 .

Beginning and Intermediate Algebra (6th Edition)

6th Edition

ISBN: 9780321969163

Author: Margaret L. Lial, John Hornsby, Terry McGinnis

Publisher: PEARSON

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Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

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Chapter 4, Problem 8T

(a)

To determine

The scientific notation of 45,000,000,000.

(b)

To determine

The standard notation of 3.6×10−6.

(c)

To determine

The standard notation of the quotient 9.5×10−15×103.

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Chapter 4, Problem 7T

Chapter 4, Problem 9T

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Beginning and Intermediate Algebra (6th Edition)

Ch. 4.1 - Concept Check Decide whether each statement is...Ch. 4.1 - Concept Check Decide whether each statement is...Ch. 4.1 - Prob. 3E Ch. 4.1 - Concept Check Decide whether each statement is...Ch. 4.1 - Write each expression in exponential form. See...Ch. 4.1 - Write each expression in exponential form. See...Ch. 4.1 - Prob. 7E Ch. 4.1 - Write each expression in exponential form. See...Ch. 4.1 - Prob. 9E Ch. 4.1 - Write each expression in exponential form. See...

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The scientific notation of 45 , 000 , 000 , 000 .

Solution Summary: The author explains how to convert a positive number to scientific notation by placing the decimal point to the right of the first non-zero digit.

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The scientific notation of 45,000,000,000.

The standard notation of 3.6×10−6.

The standard notation of the quotient 9.5×10−15×103.

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Chapter 4 Solutions