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Question
which measurement has the fewest number of significant digits? 95.326 km 95.32 km 9.532 km 9.53 km
Step1: Recall significant digit rules
Significant digits include all non - zero digits, and zeros between non - zero digits. For decimal numbers, leading zeros are not significant, but trailing zeros after the decimal are significant. For numbers without a decimal, trailing zeros may or may not be significant, but in the given numbers (all with decimals or clear non - zero digit structures), we count the non - zero digits and zeros between them.
Step2: Count significant digits for each option
- For \(95.326\) km: The digits are 9, 5, 3, 2, 6. So there are 5 significant digits.
- For \(95.32\) km: The digits are 9, 5, 3, 2. So there are 4 significant digits.
- For \(9.532\) km: The digits are 9, 5, 3, 2. So there are 4 significant digits.
- For \(9.53\) km: The digits are 9, 5, 3. So there are 3 significant digits.
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The measurement with the fewest number of significant digits is \(9.53\) km.