   Chapter 2.6, Problem 82E

Chapter
Section
Textbook Problem

Perform the indicated operation (write each result in scientific notation with the decimal part rounded to three significant digits when necessary): ( 0.256 × 6300 866 × 0.013 ) 10

To determine

To calculate: The scientific notation of the operation’s result (0.259×6300866×0.013)10 with the decimal point rounded to three significant digits.

Explanation

Given Information:

The provided operation is (0.259×6300866×0.013)10.

Formula used:

Steps to write a decimal number in scientific notation form:

Step1. Read the number from left towards right and write a decimal point immediately next to the non-zero digit.

Step2. Now place a caret (^) at the location of the actual decimal point.

Step3. If the written decimal point is located at the right position of the caret, then the exponential power of 10 will be the same negative number of the number of places from the position of caret to the location of the decimal point.

Step4. If the decimal point is already located after the provided first non-zero digit then, the exponent of the 10 in this case would be zero.

Calculation:

Consider the provided operation,

(0.259×6300866×0.013)10

First perform the operation of multiplication in the numerator. So,

(0.259×6300866×0.013)10=(1631.711.258)10

Next perform the provided operation of division. So,

(1631.711.258)10=(144.94)10

Evaluate the powers.

(144.94)10=4091500134819406874657.66

First read from leftmost digit towards right, write a decimal point after the first nonzero digit 4

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