Math Problem Statement
State the number of significant figures in the following quantities a. 3.00100 g b. 0.0200 s c. 0.0023°C d. 0.0000055 g e. 1.6402 g f. 3.40 x 103 mL g. 1.020 L
Solution
Let's evaluate the number of significant figures for each quantity:
a. 3.00100 g
- All non-zero digits and zeros between non-zero digits are significant. Trailing zeros after a decimal point are also significant.
- Significant Figures: 6
b. 0.0200 s
- Leading zeros are not significant, but trailing zeros after a decimal point are.
- Significant Figures: 3
c. 0.0023°C
- Leading zeros are not significant.
- Significant Figures: 2
d. 0.0000055 g
- Leading zeros are not significant.
- Significant Figures: 2
e. 1.6402 g
- All non-zero digits are significant.
- Significant Figures: 5
f. 3.40 x 10³ mL
- In scientific notation, the digits in the coefficient (3.40) are significant. The exponent doesn't affect the count of significant figures.
- Significant Figures: 3
g. 1.020 L
- Trailing zeros after a decimal point are significant.
- Significant Figures: 4
Summary of Significant Figures:
- a. 6
- b. 3
- c. 2
- d. 2
- e. 5
- f. 3
- g. 4
Would you like a detailed explanation on any of these?
Further related questions:
- How do leading and trailing zeros affect significant figures?
- What are the rules for significant figures in multiplication and division?
- How does scientific notation influence the count of significant figures?
- Can you give examples of quantities with exactly 1 significant figure?
- What is the difference between precision and accuracy in measurements?
Tip: Always use significant figures rules when performing calculations to maintain the correct level of precision.
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Math Problem Analysis
Mathematical Concepts
Significant Figures
Scientific Notation
Measurement Precision
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12
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