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Social Science(24.2)(0.0025)(6.023•10^4)=Determine the number of significant digits that would be in the answer of the following calculations.
(24.2)(0.0025)(6.023•10^4)=
Determine the number of significant digits that would be in the answer of the following calculations.
Expert Answer
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)
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 6.023×104 has four significant figures. Thus, the answer will be mentioned in two significant figures. The calculation is mentioned below:
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24.2x0.0025x 6.023 x 104 24.2x0.0025x 6.023x 104 3643.915
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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