what are the significant figures of the numbers:
1)0.0761114947969612
2)132.545358664364
would it be 0.076 and 132.5?
#2. All the figures shown are significant.
#1. All but the first two zeros are significant.
Here is a site that gives the rules.http://www.chemteam.info/SigFigs/SigFigs.html
but rounding it would be
1) 0.08
2) 132
?
Rounding #1 to 1 s.f. would be 0.08.
Rounding #2 to 3 s.f. is 132 depending upon what rule you are using for the 5; i.e., some round to 132 and some to 133.
To determine the significant figures of a number, we need to identify the non-zero digits and any zeros between them.
1) 0.0761114947969612
The non-zero digits are 7, 6, 1, 1, 1, 4, 9, 4, 7, 9, 6, 1, and 2. Zeros at the beginning or the end of a number serve as placeholders and are not significant. Therefore, the significant figures in this number are 7, 6, and 1, resulting in 3 significant figures. The number can be rounded to 0.076.
2) 132.545358664364
All non-zero digits in this number are significant. Zeros between non-zero digits (as in 132.545358664364) are also significant. Therefore, the significant figures in this number are 1, 3, 2, 5, 4, 5, 3, 5, 8, 6, 6, 4, 3, 6, 4, and 3, resulting in 15 significant figures. The number can be rounded to 132.5.
So, you are correct in identifying the significant figures as 0.076 and 132.5.