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Which of the following measurements contains three significant figures? 0.010 g 0.01010 g 0.0100 g 0.01 g

Question

Which of the following measurements contains three significant figures? 0.010 g 0.01010 g 0.0100 g 0.01 g

Which of the following measurements contains three significant figures?
0.010 g
0.01010 g
0.0100 g
0.01 g

Solution

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TessaProfessional · Tutor for 6 years

Answer

To determine which of the given measurements contains three significant figures, we need to understand the rules for counting significant figures:<br /><br />1. All non-zero digits are significant.<br />2. Any zeros between significant digits are significant.<br />3. Leading zeros (zeros before all non-zero digits) are not significant.<br />4. Trailing zeros in a decimal number are significant.<br /><br />Let's analyze each measurement:<br /><br />1. **0.010 g**: <br /> - The leading zeros are not significant.<br /> - Only the digit '1' is significant.<br /> - This measurement has 2 significant figures.<br /><br />2. **0.01010 g**:<br /> - The leading zeros are not significant.<br /> - The digits '1010' are significant.<br /> - This measurement has 4 significant figures.<br /><br />3. **0.0100 g**:<br /> - The leading zeros are not significant.<br /> - The digits '100' are significant.<br /> - This measurement has 3 significant figures.<br /><br />4. **0.01 g**:<br /> - The leading zeros are not significant.<br /> - Only the digit '1' is significant.<br /> - This measurement has 2 significant figures.<br /><br />Therefore, the measurement that contains three significant figures is **0.0100 g**.
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