Answer :
To determine which number has five significant figures, let's review the concept of significant figures and analyze each option:
1. Significant Figures: These are the digits in a number that are meaningful in terms of accuracy and precision. This includes all digits except:
- Leading zeros, which are not significant.
- Trailing zeros in a whole number without a decimal point, which are not significant.
Now, let's examine each option:
A. 8.002:
- The number 8.002 has four significant figures (8, 0, 0, and 2).
- This doesn't match the requirement of five significant figures.
B. 52,000:
- Here, we have ambiguity without additional context. If there is no decimal point provided, trailing zeros are not considered significant.
- Thus, without more information, 52,000 typically has two significant figures (5 and 2).
C. 6.0000:
- This number has trailing zeros after a decimal point, which are significant.
- The number 6.0000 has five significant figures (6, 0, 0, 0, 0).
D. 2350:
- Similar to option B, without a decimal point, trailing zeros are generally not considered significant.
- Therefore, 2350 has three significant figures (2, 3, and 5).
Based on the analysis, the number that has five significant figures is:
6.0000 (Option C).
1. Significant Figures: These are the digits in a number that are meaningful in terms of accuracy and precision. This includes all digits except:
- Leading zeros, which are not significant.
- Trailing zeros in a whole number without a decimal point, which are not significant.
Now, let's examine each option:
A. 8.002:
- The number 8.002 has four significant figures (8, 0, 0, and 2).
- This doesn't match the requirement of five significant figures.
B. 52,000:
- Here, we have ambiguity without additional context. If there is no decimal point provided, trailing zeros are not considered significant.
- Thus, without more information, 52,000 typically has two significant figures (5 and 2).
C. 6.0000:
- This number has trailing zeros after a decimal point, which are significant.
- The number 6.0000 has five significant figures (6, 0, 0, 0, 0).
D. 2350:
- Similar to option B, without a decimal point, trailing zeros are generally not considered significant.
- Therefore, 2350 has three significant figures (2, 3, and 5).
Based on the analysis, the number that has five significant figures is:
6.0000 (Option C).
