- #1

vcsharp2003

- 800

- 169

- Homework Statement:
- What is the number of significant figures for a measurement of 8400.00 cm?

- Relevant Equations:
- None

I am using these rules to determine number of significant digits.

(1) All trailing zeros following decimal are significant

(2) All trailing zeros in a number without decimal point are not significant

(3) All non-zero digits are significant

It seems rule 2 will not apply here and therefore number of significant digits is 6 in this measurement.

But what confuses me is if the measured quantity was 8400, then due to rule 2 the number of significant digits would be just 2.

So, the same number has different significant figures when expressed with or without decimal, and this is confusing to me.

(1) All trailing zeros following decimal are significant

(2) All trailing zeros in a number without decimal point are not significant

(3) All non-zero digits are significant

It seems rule 2 will not apply here and therefore number of significant digits is 6 in this measurement.

But what confuses me is if the measured quantity was 8400, then due to rule 2 the number of significant digits would be just 2.

So, the same number has different significant figures when expressed with or without decimal, and this is confusing to me.