Question
Download Solution PDFThe significant figures in 0.00051 are
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is Option 2.
Key Points
- The number 0.00051 has 2 significant figures (5 and 1).
- Leading zeros in a decimal number (zeros before the first non-zero digit) are not considered significant.
- Significant figures are used to indicate the precision of a measurement or calculation in science and mathematics.
- In the case of 0.00051, the digits 5 and 1 are the only meaningful digits contributing to the precision of the number.
Additional Information
- Definition of Significant Figures:
- Significant figures are the digits in a number that are reliable and necessary to indicate the precision of that number.
- They include all non-zero digits, any zeros between significant digits, and trailing zeros in the decimal portion.
- Rules for Identifying Significant Figures:
- All non-zero digits are significant (e.g., 123 has 3 significant figures).
- Any zeros between non-zero digits are significant (e.g., 1002 has 4 significant figures).
- Leading zeros are not significant (e.g., 0.0012 has 2 significant figures).
- Trailing zeros in a decimal number are significant (e.g., 0.1200 has 4 significant figures).
- Purpose of Significant Figures:
- They are used to express the precision of measured or calculated values.
- In scientific calculations, they help maintain consistency and avoid overestimating the accuracy of results.
- Examples of Significant Figures:
- Number 0.00456 has 3 significant figures (4, 5, 6).
- Number 23000 has 2 significant figures unless written as 2.3 × 104, which clarifies its precision.
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