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How do we determine significant figures in calculations involving both

Introductory Chemistry | 5th Edition | ISBN: 9780321910295 | Authors: Nivaldo J Tro ISBN: 9780321910295 34

Solution for problem 9Q Chapter 2

Introductory Chemistry | 5th Edition

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Introductory Chemistry | 5th Edition | ISBN: 9780321910295 | Authors: Nivaldo J Tro

Introductory Chemistry | 5th Edition

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Problem 9Q

Problem 9Q

How do we determine significant figures in calculations involving both addition/subtraction and multiplication/ division?

Step-by-Step Solution:
Step 1 of 3

Problem 9Q

How do we determine significant figures in calculations involving both addition/subtraction and multiplication/ division?

Solution: Here, we are going to explain the rule for determining significant figures in calculations involving both addition/subtraction and multiplication/ division?

Step1:

If a calculation involves a number of steps, the result should contain the same number of significant figures as that of the least precise number involved, other than the exact numbers.

Step2:

For example, for the calculation 943 x 0.00345 +101, the first two numbers are to be multiplied initially as follows:

                                943 x 0.00345 = 3.25335 = 3.25.

According to the rules of multiplication of significant figures, the answer has to be reported up to three significant figures. So, the correct answer is 3.25 for the above multiplication. Upon further addition, the final answer may be calculated as:

                                        3.25

                                      +    101.

                                        104.25

Since, the number having the least decimal place is 101., therefore, the final result after adding should also have digits up to zero decimal place. Thus the final result will be 104.

                                                ----------------

 

Step 2 of 3

Chapter 2, Problem 9Q is Solved
Step 3 of 3

Textbook: Introductory Chemistry
Edition: 5
Author: Nivaldo J Tro
ISBN: 9780321910295

The full step-by-step solution to problem: 9Q from chapter: 2 was answered by , our top Chemistry solution expert on 05/06/17, 06:45PM. The answer to “How do we determine significant figures in calculations involving both addition/subtraction and multiplication/ division?” is broken down into a number of easy to follow steps, and 14 words. Since the solution to 9Q from 2 chapter was answered, more than 387 students have viewed the full step-by-step answer. Introductory Chemistry was written by and is associated to the ISBN: 9780321910295. This textbook survival guide was created for the textbook: Introductory Chemistry, edition: 5. This full solution covers the following key subjects: addition, both, Calculations, determine, division. This expansive textbook survival guide covers 19 chapters, and 2046 solutions.

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How do we determine significant figures in calculations involving both