Question

1. significant figures worksheet

identify the number of significant figures

1. 3.0800 kg
2. 0.00418 m
3. 7.09×10⁻³ l
4. 91,600 miles
5. 0.003005 g
6. 38 eggs
7. 3.200×10⁹ s
8. 250 °c
9. 780,000,000 km
10. 20 years in one score
11. 0.0101 ml
12. 0.00800 cm
13. 20,700 inches
14. 5.0002×10⁸ calories

Explanation:

Step1: Recall significant - figure rules

Non - zero digits are always significant. Zeros between non - zero digits are significant. Leading zeros (zeros before non - zero digits) are not significant. Trailing zeros in a number with a decimal point are significant. Trailing zeros in a whole number without a decimal point may or may not be significant (scientific notation can clarify).

Step2: Analyze 1.0800 kg

Non - zero digits 1 and 8 are significant. Zeros between 1 and 8 and trailing zeros after 8 are significant. So, there are 5 significant figures.

Step3: Analyze 0.00418 m

Leading zeros are not significant. Non - zero digits 4, 1, and 8 are significant. So, there are 3 significant figures.

Step4: Analyze 7.09×10⁻³ L

Non - zero digits 7 and 9 and zero between them are significant. So, there are 3 significant figures.

Step5: Analyze 91.600 miles

Non - zero digits 9, 1, and 6 are significant. Trailing zeros after 6 are significant. So, there are 5 significant figures.

Step6: Analyze 0.003005 g

Leading zeros are not significant. Non - zero digits 3 and 5 and zeros between them are significant. So, there are 4 significant figures.

Step7: Analyze 38 eggs

Non - zero digits 3 and 8 are significant. So, there are 2 significant figures.

Step8: Analyze 3.200×10⁹ s

Non - zero digits 3 and 2 and trailing zeros after 2 are significant. So, there are 4 significant figures.

Step9: Analyze 250 °C

Trailing zero may or may not be significant. Without more context, if written as is, there are 2 significant figures.

Step10: Analyze 780,000,000 km

Trailing zeros may or may not be significant. In scientific notation, it could be clarified. As written, if no other context, 2 significant figures.

Step11: Analyze 20 years in one score

Exact numbers like this have infinite significant figures. But if considering it as a measured value in a context where precision matters, 2 significant figures.

Step12: Analyze 0.0101 mL

Leading zero before 1 is not significant. Non - zero digits 1 and 1 and zero between them are significant. So, there are 3 significant figures.

Step13: Analyze 0.00800 cm

Leading zeros are not significant. Non - zero digit 8 and trailing zeros after 8 are significant. So, there are 3 significant figures.

Step14: Analyze 20,700 inches

Trailing zeros may or may not be significant. Non - zero digits 2 and 7 are significant. If no other context, 3 significant figures.

Step15: Analyze 5.0002×10⁸ calories

Non - zero digits 5 and 2 and zeros between them are significant. So, there are 5 significant figures.

Answer:

1. 5
2. 3
3. 3
4. 5
5. 4
6. 2
7. 4
8. 2
9. 2
10. 2
11. 3
12. 3
13. 3
14. 5