Answered: determine wheather the zero in each…

World of Chemistry, 3rd edition

3rd Edition

ISBN:9781133109655

Author:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCoste

Chapter5: Measurements And Calculations

Section5.2: Uncertainty In Measurement And Significant Figures

Problem 2RQ

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Question

determine wheather the zero in each number are significant

2050

9.00x10^2

0.0530

0.075

300

285.00

Expert Solution

Step 1

The given numbers are represented as follows:

2050

9.00×10²

0.0530

0.075

300

285.00

Step 2

Significant figures are used to express the degree of accuracy of an answer. The rules for identifying significant figures are as follows:

Non-zero digits are considered as significant figures. (1 to 9)
Zeros between non-zero digits are considered as significant figures. (for example – 1009 has four significant figures.)
Zeros that are left to the decimal are not considered as significant figures. (for example – 0000.72 has two significant figures.)
On the right side of the decimal place, zeros between decimal and non-zero digits are not considered as significant figures. (for example - 0.0038 has two significant figures.)
On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.35000 has five significant figures.)

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