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Question
watch sig fig rules! (significant figures rules and examples) (8:44) then answer the following question. which of the following contains a \0\ that is not significant? hint: multiple answers may be correct. 0.12 120. 12.0 120 102
Step1: Recall significant figure rules for zeros
Zeros are significant if they are between non - zero digits, after a non - zero digit in a decimal number, or at the end of a number with a decimal point. Zeros are not significant if they are leading zeros (before the first non - zero digit) or trailing zeros in a whole number without a decimal point.
Step2: Analyze each option
- 0.12: The zero here is a leading zero (before the non - zero digit 1). Leading zeros are not significant.
- 120.: The zero here is between non - zero digits (2 and the decimal point? No, 120. has a decimal point at the end. The zero here is a trailing zero in a number with a decimal point, so it is significant.
- 12.0: The zero here is after the non - zero digit 2 and there is a decimal point, so it is significant.
- 120: The zero here is a trailing zero in a whole number without a decimal point, so it is not significant.
- 102: The zero here is between non - zero digits (1 and 2), so it is significant.
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0.12, 120