   Chapter 1, Problem 3RCYU

Chapter
Section
Textbook Problem

What is the result of the following calculation? x = ( 110.7 − 64 ) ( 0.056 ) ( 0.00216 )

Interpretation Introduction

Interpretation:

The result of the given calculation has to be given

Concept Introduction:

Rules used for significant figures in calculations:

Rule 1: When adding or subtracting numbers, the number of decimal places in the answer is equal to the number of decimal places in the number with fewest digits after the decimal.

Rule 2: In multiplication or division, the number of significant figures in the answer is determined by the quantity with the fewest significant figures.

Rule 3: When a number is rounded off, the last digit to be retained is increased by one only if the following digit is 5 or greater.

Explanation

In 110.7, the decimal numbers with zeroes that occur before the first nonzero digit are not significant. So, the significant number is 4.

In 0.056, the decimal numbers with zeroes that occur before the first nonzero digit are not significant. So, the significant number is 2

In 0.00216, the decimal numbers all the nonzero numbers are significant. So, the significant number is 3

The subtraction of 110.7 and 64 is ,

110.7decimal place1-64decimal place0_=46

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