Which zeros are significant in the number 0.01030 (1)Only the zero at ...
Significant Zeros in 0.01030:
The number 0.01030 contains several zeros, and determining which of these zeros are significant is crucial in understanding the precision and accuracy of the measurement. Let's analyze the given options to identify the significant zeros:
Option 1: Only the zero at the end is significant.
- This statement suggests that the zero after the 3 in 0.01030 is the only significant zero.
- However, this interpretation contradicts the concept of significant figures, which implies that zeros between significant digits are also significant.
Option 2: The zero between the 1 and 3, and the zero after the 3 is significant.
- This statement correctly identifies the significant zeros in 0.01030.
- The zero between the 1 and 3 indicates that the value is measured to the hundredth place, while the zero after the 3 signifies that the value is measured to the thousandth place.
- Therefore, both these zeros are significant.
Option 3: All of the zeros are significant.
- This statement suggests that every zero in 0.01030 is significant.
- However, this is not accurate as the leading zero in this case is not significant.
- Leading zeros are only used to indicate the decimal point's position and do not contribute to the number's precision.
Option 4: Only the zero between the 1 and 3 is significant.
- This statement fails to acknowledge the significance of the zero after the 3.
- As mentioned earlier, the zero after the 3 indicates that the measurement is precise to the thousandth place, making it significant.
Conclusion:
Based on the analysis, Option 2 is the correct answer. The zero between the 1 and 3, as well as the zero after the 3, are both significant in the number 0.01030. These significant zeros provide information about the precision and accuracy of the measurement. It is important to consider all significant figures when performing calculations or conveying the level of precision in scientific or mathematical contexts.
Which zeros are significant in the number 0.01030 (1)Only the zero at ...
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