To determine the number of significant figures in each of the measurements, we can apply the rules of significant figures:
A. 1.06 x 10^4
- The digits "1.06" are all significant. The "1", "0", and "6" count as significant figures.
- Significant figures: 3
B. 12,000 cm
- Here, the number of significant figures can vary based on the context or notation. Typically, without a decimal point, trailing zeros are not considered significant.
- Significant figures: 2 (unless specified otherwise that all zeros are significant, in which case it could also be considered 5)
C. 0.0340 kg
- The leading zeros (0.0) are not significant. The digits "3", "4" and the trailing zero after "4" are significant.
- Significant figures: 3
D. 1.0 x 10^1 in
- The digits "1.0" include the trailing zero after the "1", which counts as significant.
- Significant figures: 2
In summary, the significant figures for each measurement are:
- A: 3
- B: 2
- C: 3
- D: 2
2 answers