Question

Asked Sep 4, 2019

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(24.2)(0.0025)(6.023•10^4)=

Determine the number of significant digits that would be in the answer of the following calculations.

Step 1

Significant figures are used to show the degree of accuracy of any given answer. The rules for identification of significant figures are as follows:

- Non-zero digits are always considered to be the significant figures. (1 to 9)
- The zeros present between non-zero digits are considered to be significant figures. (for example – 5004 has four significant figures.)
- Zeros which are present at left to the decimal are not considered as significant figures. (for example – 0000.96 has two significant figures.)
- While on the right side of the decimal place, zeros between decimal and non-zero digits are not considered to be significant figures. (for example - 0.0045 has two significant figures.)
- On the right side of the decimal place, zeros after the non-zero digits are considered to be significant figures. (0.28000 has five significant figures)

Step 2

The addition, subtraction, multiplication and division are done in a normal way. The number of significant figures in an answer are determined by the least number of significant figures in the given problem.

The given problem is:

24.2 has three significant figures, 0.0025 has two significant figures and 6.023×10^{4} has four significant figures. Thus, the answer will be mentioned in two significant figures. The calculation is mentioned below:

Step 3

3643.915 has seven significant figures. It can also be written as 3.643915×103.

The digit after 6 is 4 which is less than 5, there...

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