Round off each of the following numbers to the indicated number of significant digits and write the answer in standard scientific notation. A). 4341 * 10^2 to three significant digits B). 93.441 * 10^3 to three significant digits C). 0.99155 * 10^2 to four significant digits D). 9.3265 to four significant digits

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
icon
Related questions
Question

Round off each of the following numbers to the indicated number of significant digits and write the answer in standard scientific notation.

A). 4341 * 10^2 to three significant digits

B). 93.441 * 10^3 to three significant digits

C). 0.99155 * 10^2 to four significant digits

D). 9.3265 to four significant digits

Expert Solution
Step 1

Significant figures are the number of digits in a value that contribute to the degree of accuracy of the value.

To count the significant figures the following rules are considered into account:

1) All non zero digits are significant.

Example: In 123.1 there are four significant figures.

2) Zeros between two nonzero digits are significant.

ex: In 102, there are three significant figures.

3) Leading zeros (left side zeros) are not significant.

ex: In 0.00245 there are three significant digits.

4) Zeros that are right side of a decimal are significant.

ex: In 0.00240   there are three significant figures.

5) Zeros that are right side of a number and without a decimal are not significant.

In 200 there is only one significant figure.

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Measurement
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Chemistry
Chemistry
Chemistry
ISBN:
9781305957404
Author:
Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:
Cengage Learning
Chemistry
Chemistry
Chemistry
ISBN:
9781259911156
Author:
Raymond Chang Dr., Jason Overby Professor
Publisher:
McGraw-Hill Education
Principles of Instrumental Analysis
Principles of Instrumental Analysis
Chemistry
ISBN:
9781305577213
Author:
Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:
Cengage Learning
Organic Chemistry
Organic Chemistry
Chemistry
ISBN:
9780078021558
Author:
Janice Gorzynski Smith Dr.
Publisher:
McGraw-Hill Education
Chemistry: Principles and Reactions
Chemistry: Principles and Reactions
Chemistry
ISBN:
9781305079373
Author:
William L. Masterton, Cecile N. Hurley
Publisher:
Cengage Learning
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemistry
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY