Subjects chemistry

Significant Figures 6E9Dff

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Significant Figures 6E9Dff


1. The problem is to understand and apply the rules of significant figures in measurements and calculations. 2. Significant figures are the digits in a number that carry meaningful information about its precision. The rules include: - All non-zero digits are significant. - Zeros between non-zero digits are significant. - Leading zeros are not significant. - Trailing zeros in a decimal number are significant. 3. When multiplying or dividing, the result should have the same number of significant figures as the number with the fewest significant figures. 4. When adding or subtracting, the result should have the same number of decimal places as the number with the fewest decimal places. 5. Example: Multiply 3.24 (3 significant figures) by 2.1 (2 significant figures). $$3.24 \times 2.1 = 6.804$$ Since 2.1 has 2 significant figures, the result should be rounded to 2 significant figures: $$6.8$$ 6. This ensures the precision of the result reflects the least precise measurement. Final answer: The product rounded to 2 significant figures is $6.8$.