Questions and Answers
The number of significant figures a number has is?
the total number of digits that are used to represent it accurately
How many significant figures are there in 563.4?
4
How many significant figures are there in 1255.33?
6
How many significant figures are there in 47.808?
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How many significant figures are there in 77?
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How many significant figures are there in 77.0?
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How many significant figures are there in 0.6789?
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How many significant figures are there in 85.7081?
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How many significant figures are there in 85.7007?
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How many significant figures are there in 300.9?
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How many significant figures are there in 50.087?
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How many significant figures are there in 57000?
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How many significant figures are there in 27,800?
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How many significant figures are there in 1,400,000?
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How many significant figures are there in 72,008?
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How many significant figures are there in 55,608,000?
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How many significant figures are there in 9,021,800?
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How many significant figures are there in 56,709,000?
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How many significant figures are there in 7,000?
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How many significant figures are there in 679,080?
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When are zeros significant?
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When are zeros significant?
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What is the least number of significant figures in 0.00044?
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What is the least number of significant figures in 1.00798?
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What is the least number of significant figures in 0.00603?
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What is the least number of significant figures in 1.00789?
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What is the least number of significant figures in 340.0?
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What is the least number of significant figures in 0.7800?
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What is the least number of significant figures in 6.04400?
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What is the least number of significant figures in 6060.060?
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Study Notes
Understanding Significant Figures
- Significant figures (SF) represent the number of digits used to accurately express a value.
- The rules for counting significant figures include all non-zero digits, zeros between significant digits, and trailing zeros in a decimal.
Significant Figures in Various Numbers
- 563.4 has 4 significant figures.
- 1255.33 has 6 significant figures.
- 47.808 has 5 significant figures.
- 77 has 2 significant figures.
- 77.0 has 3 significant figures due to the trailing zero after the decimal.
Leading Zeros and their Impact
- 0.6789 has 4 significant figures; leading zeros are not counted.
- 85.7081 and 85.7007 both have 6 significant figures; all digits are counted.
Zeroes and Significant Figures
- 300.9 has 4 significant figures; the zero between significant digits counts.
- 50.087 has 5 significant figures; all digits are counted.
- 57000 has 2 significant figures; trailing zeros without a decimal are generally not counted.
- 1,400,000 also has 2 significant figures; without a decimal point, trailing zeros do not count.
Special Cases
- 27800 has 3 significant figures; the first zero is not significant.
- 72,008 has 5 significant figures; zeros between significant digits count.
- 6,790,80 has 5 significant figures; the zero between significant digits counts.
- 7,000 has only 1 significant figure; trailing zeros without a decimal do not count.
Recognizing Significant Figures in Scientific Context
- The least number of significant figures indicates precision in measurements:
- 0.00044 has 2 significant figures.
- 1.00798 has 6 significant figures.
- 0.00603 has 3 significant figures.
- 340.0 has 4 significant figures.
- 0.7800 has 4 significant figures.
- 6060.060 has 7 significant figures.
Key Rules for Zeros
- Zeros are significant when they:
- Are in between non-zero digits (e.g., 502).
- Are at the end of a number with a decimal present (e.g., 6.0).
- Zeros at the beginning of a decimal number (e.g., 0.003) are not counted as significant figures.
These guidelines help in determining the precision of measurements and ensuring accurate communication of numerical data.
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Description
This quiz covers the essential rules of significant figures, including what counts as significant and how to identify them in various numbers. Test your understanding of leading zeros and the impact of trailing zeros on significant figures with practical examples.
