Question

Evaluate each of the following mathematical expressions, and express the answer to the correct number of significant digits. a. $44.2124+0.81+7.335$ b. $9.7789+3.3315-2.21$ c. $0.8891+0.225+4.14$

Name: Problem 47, Chapter 2: Introductory Chemistry
Uploaded: 2021-03-13T18:06:13-08:00
Duration: 1 min 32 s
Channel: Niamat Khuda
Description: Evaluate each of the following mathematical expressions, and express the answer to the correct number of significant digits. a. 44.2124+0.81+7.335 b. 9.7789+3.3315-2.21 c. 0.8891+0.225+4.14

   Evaluate each of the following mathematical expressions, and express the answer to the correct number of significant digits.
a. $44.2124+0.81+7.335$
b. $9.7789+3.3315-2.21$
c. $0.8891+0.225+4.14$

Introductory Chemistry

Steven S. Zumdahl,… 9th Edition

Chapter 2, Problem 47

Instant Answer

Solved by Expert Niamat Khuda

03/13/2021

Step 1

For expression a, we have $44.2124+0.81+7.335 = 52.3574$. For expression b, we have $9.7789+3.3315-2.21 = 10.9004$. For expression c, we have $0.8891+0.225+4.14 = 5.2541$. Show more…

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Evaluate each of the following mathematical expressions, and express the answer to the correct number of significant digits. a. $44.2124+0.81+7.335$ b. $9.7789+3.3315-2.21$ c. $0.8891+0.225+4.14$

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Key Concepts

Significant Figures

This concept refers to the digits in a number that contribute to its precision. It is crucial in ensuring that the reported result of any calculation is expressed with an accuracy that reflects the precision of the input values, avoiding overstatement of the certainty in measurements.

Rounding

Rounding is the process of trimming a number to a specified degree of precision, typically to the appropriate number of significant figures. It is performed by analyzing the digit immediately after the last retained significant figure to determine whether to round the final figure up or leave it unchanged.

Addition and Subtraction with Significant Figures

When adding or subtracting numbers, the final result should retain only as many decimal places as the measurement with the fewest decimal places. This rule ensures that the precision of the computed sum or difference is consistent with the precision of the least accurate term.

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