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Which of the following statements is incorrect regarding significant figures?
- a)All the non-zero digits are significant
- b)All the zeros between two non-zero digits are significant
- c)Greater the number of significant figures in a measurement smaller is the percentage error
- d)The power of 10 is counted while counting the number of significant figures
Correct answer is option 'D'. Can you explain this answer?
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Which of the following statements is incorrect regarding significant f...
The power of 10 is irrelevant to the determination of significant figures.
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Which of the following statements is incorrect regarding significant f...
Explanation:
To understand why statement D is incorrect, let's first review the rules for determining the number of significant figures in a measurement:
1. All non-zero digits are significant.
2. Zeros between non-zero digits are significant.
3. Leading zeros (zeros before the first non-zero digit) are not significant.
4. Trailing zeros (zeros after the last non-zero digit) are significant if there is a decimal point present in the number.
5. Zeros at the end of a number without a decimal point are not significant.
Now, let's analyze each statement in detail:
a) All the non-zero digits are significant:
This statement is true. Any non-zero digit in a measurement is considered significant.
b) All the zeros between two non-zero digits are significant:
This statement is also true. Zeros between non-zero digits are considered significant.
c) Greater the number of significant figures in a measurement smaller is the percentage error:
This statement is true. The greater the number of significant figures in a measurement, the more precise the measurement is considered to be. This implies that the percentage error in the measurement would be smaller.
d) The power of 10 is counted while counting the number of significant figures:
This statement is incorrect. The power of 10 (exponential notation) is not counted when determining the number of significant figures in a measurement. It is only used to express the magnitude of the number.
In conclusion:
The incorrect statement is D. The power of 10 is not counted when determining the number of significant figures in a measurement. Only the digits themselves are considered.
To understand why statement D is incorrect, let's first review the rules for determining the number of significant figures in a measurement:
1. All non-zero digits are significant.
2. Zeros between non-zero digits are significant.
3. Leading zeros (zeros before the first non-zero digit) are not significant.
4. Trailing zeros (zeros after the last non-zero digit) are significant if there is a decimal point present in the number.
5. Zeros at the end of a number without a decimal point are not significant.
Now, let's analyze each statement in detail:
a) All the non-zero digits are significant:
This statement is true. Any non-zero digit in a measurement is considered significant.
b) All the zeros between two non-zero digits are significant:
This statement is also true. Zeros between non-zero digits are considered significant.
c) Greater the number of significant figures in a measurement smaller is the percentage error:
This statement is true. The greater the number of significant figures in a measurement, the more precise the measurement is considered to be. This implies that the percentage error in the measurement would be smaller.
d) The power of 10 is counted while counting the number of significant figures:
This statement is incorrect. The power of 10 (exponential notation) is not counted when determining the number of significant figures in a measurement. It is only used to express the magnitude of the number.
In conclusion:
The incorrect statement is D. The power of 10 is not counted when determining the number of significant figures in a measurement. Only the digits themselves are considered.
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Which of the following statements is incorrect regarding significant figures?a)Allthe non-zero digits are significantb)All the zeros between two non-zero digits are significantc)Greater the number of significant figures in a measurement smaller is the percentage errord)The power of 10 is counted while counting the number of significant figuresCorrect answer is option 'D'. Can you explain this answer?
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