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Exponential Notation, Significant Figures and Rounding Practice Problems for CHE 151, Exams of Chemistry

Practice problems for students in the che 151 course to help them understand the concepts of exponential notation, significant figures, and rounding. The problems involve writing numbers in scientific notation and determining the number of significant figures, as well as rounding numbers to a specified number of significant figures and rewriting them in scientific notation.

Typology: Exams

Pre 2010

Uploaded on 08/09/2009

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Practice Problems 1 Chapter 1 CHE 151
Graham/08
Exponential Notation, Significant Figures and Rounding
1. Write each number in scientific (exponential) notation and then indicate the number
of significant figures.
Scientific Notation # of Sig.Fig.
a) 9624 __9.624 x 103_________ ____4_______
b) 620.0 __6.200 x 102_________ ____4_______
c) 0.00892 __8.92 x 10-3_________ ____3_______
d) 5.990 x 104 xxxxxxxxxxxx ____4_______
e) 0.82 __8.2 x 10-1_________ ____2_______
f) 500.060 __5.00060 x 102______ ____6_______
g) 4.82 x 10-4 xxxxxxxxxxxx ____3_______
h) 5000.0 __5.0000 x 103______ ____5_______
i) 5000 __5 x 103__________ ____1_______
2. Round each of the following to three significant figures, then rewrite the number in
scientific notation.
a) 25.67 = 25.7 2.57 x 101
b) 694.2 = 694 6.94 x 102
c) 0.056567 = 0.0566 5.66 x 10-2
d) 460500 = 461,000 4.61 x 105
e) 851.5 x 10-4 = 852 x 10-4 8.52 x 10-2
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Practice Problems 1 Chapter 1 CHE 151 Graham/

Exponential Notation, Significant Figures and Rounding

  1. Write each number in scientific (exponential) notation and then indicate the number of significant figures. Scientific Notation # of Sig.Fig. a) 9624 __9.624 x 10 3 _________ ____4_______ b) 620.0 __6.200 x 10 2 _________ ____4_______ c) 0.00892 __8.92 x 10-3_________ ____3_______ d) 5.990 x 10 4 xxxxxxxxxxxx ____4_______ e) 0.82 __8.2 x 10-1_________ ____2_______ f) 500.060 __5.00060 x 10^2 ______ ____6_______ g) 4.82 x 10

xxxxxxxxxxxx ____3_______ h) 5000.0 __5.0000 x 10^3 ______ ____5_______ i) 5000 __5 x 10 3 __________ ____1_______

  1. Round each of the following to three significant figures, then rewrite the number in scientific notation. a) 25.67 = 25.7 2.57 x 10^1 b) 694.2 = 694 6.94 x 10^2 c) 0.056567 = 0.0566 5.66 x 10 - d) 460500 = 461,000 4.61 x 10^5 e) 851.5 x 10 - = 852 x 10 - 8.52 x 10 -
  1. Report the answer of the following calculations to the proper number of significant figures. All numbers are measured quantities. Show your work. a. (427.932/396.5) - (0.07461/0.082967) = ____0.180________ 1.079 - 0.8993 = 0.  b. 2.1 x 8.632 x 0.333 = _____6.0_________  (2sf) (3sf)  (5.018) (10.2) c. (5.021 - 0.003) x (9.10 + 1.1) = ____0.510________ (99.1 + 1.2) (100.3)