To determine the most precise quotient of 6.3925 mm divided by 1.25 mm using the correct number of significant figures, follow these steps:
1. Identify the given values:
- Numerator: [tex]\( 6.3925 \)[/tex] mm
- Denominator: [tex]\( 1.25 \)[/tex] mm
2. Calculate the quotient:
[tex]\[
\frac{6.3925 \, \text{mm}}{1.25 \, \text{mm}} = 5.114
\][/tex]
3. Determine the number of significant figures for each value:
- [tex]\( 6.3925 \)[/tex] has 5 significant figures.
- [tex]\( 1.25 \)[/tex] has 3 significant figures.
4. Find the minimum number of significant figures:
- The minimum number of significant figures between the two values is 3.
5. Round the quotient to the minimum number of significant figures:
- The value 5.114 rounded to 3 significant figures is 5.11.
Therefore, the most precise quotient using the correct number of significant figures is:
[tex]\[
\boxed{5.11 \, \text{mm}}
\][/tex]
