Question
Asked Sep 15, 2019
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Using the arithmetic problem below, determine the correct number of significant figures.

(1.5 x 10^-4 x 61.3) + 2.01

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Expert Answer

Step 1

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 – 2008 has four significant figures.)
  • Zeros that are left to the decimal are not considered as significant figures. (for example – 0000.28 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 - 0.0028 has two significant figures.)
  • On the right side of the decimal place, zeros after the non-zero digits are considered as significant figures. (0.28000 has five significant figures.)
Step 2

The expression is given as follows:

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(1.5 x 10 x61.3)+2.01 =(1.5x0.0001 x61.3)+2.01

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Step 3

In the given expression 1.5 has two, 0.0001 has one, and 61.3 has three significant figures respectively. S...

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(1.5x10 x 61.3) =(1.5x 0.0001x 61.3) 0.009195 =0.009

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