Vaughan Munoz
08/20/2024 · Primary School
State the numbe. significant digits in each measurement a. 0.0033 ft b. 2010 kg
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Step-by-step Solution
To determine the number of significant digits in each measurement, we follow the rules for significant figures:
1. All non-zero digits are significant.
2. Zeros between non-zero digits are significant.
3. Leading zeros (zeros before the first non-zero digit) are not significant.
4. Trailing zeros (zeros after the last non-zero digit) are significant if they are after a decimal point.
Let's apply these rules to each measurement:
a. 0.0033 ft
- The leading zeros (0.00) are not significant.
- The non-zero digits (3 and 3) are significant.
- The trailing zero (0) after the decimal point is significant because it is after the decimal point.
Therefore, 0.0033 ft has 2 significant digits.
b. 2010 kg
- The non-zero digits (2, 0, 1, and 0) are significant.
- The trailing zero (0) is significant because it is after the decimal point (even though there is no decimal point in this number, trailing zeros in whole numbers are considered significant if they are at the end of the number).
Therefore, 2010 kg has 4 significant digits.
Quick Answer
a. 0.0033 ft has 2 significant digits.
b. 2010 kg has 4 significant digits.
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