Introductory Chemistry: Concepts and Critical Thinking (8th Edition)
Introductory Chemistry: Concepts and Critical Thinking (8th Edition)
8th Edition
ISBN: 9780134421377
Author: Charles H Corwin
Publisher: PEARSON
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Chapter PSS, Problem 8ST
Interpretation Introduction

Interpretation:

Whether it is better to round off after each step, or round off the final answer in the calculator display is to be stated.

Concept introduction:

The significant numbers are taken by counting the digits from left to right and starting by the first non-zero digit. The process of eliminating the non-significant digit is known as the rounding off. This rounding off follows three rules which are stated below as:

Rule 1: If the first non-significant digit is less than 5 then all the non-significant digits are dropped.

Rule 2: If the first non-significant digit is equal to or greater than 5 then last significant digit is increased by 1 and dropped all the non-significant digits.

Rule 3: In a multistep calculation the non-significant digits are taken in all the steps.

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[References] When multiplying 981.9 by 7.22, the result on the calculator is 7089.318. Round the answer to the appropriate precision based on the precision of the numbers in the multiplication column. Submit Answer Try Another Version 2 item attempts remaining
CHEMISTRY 101 LECTURE NOTES Rules for Significant Figures in Mathematical Operations 1. For multiplication or division, the number of significant figures in the result is the same as that in the measurement with the smallest number of significant figures. We say this measurement is limiting because it limits the number of significant figures in the result. 2. For addition or subtraction, the limiting term is the one with the smallest number of decimal places. SAMPLE EXERCISE: Carry out the following mathematical operations, and give each result to the correct number of significant figures. a. (25.36 - 4.15) 2.317 b. (3.60 x 10) × (8.123) 4.3 c. 21 + 13.8 + 130.3 d. 116.8 - 0.33 e. (12.6 x 0.53) - 4.59 1.2.8 Accuracy and Precision In discussing measurements and significant figures it is useful to distinguish between accuracy and precision. Accuracy tells us how close a measurement is to the true value of the quantity that was measured. To a scientist there is a distinction between…
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Chapter PSS Solutions

Introductory Chemistry: Concepts and Critical Thinking (8th Edition)

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