To determine the most precise quotient using the correct number of significant figures, follow these steps:
1. Identify the significant figures in each number:
- The dividend is [tex]\(6.3925\)[/tex] mm, which has 5 significant figures.
- The divisor is [tex]\(1.25\)[/tex] mm, which has 3 significant figures.
2. Perform the division to find the quotient:
[tex]\[
\frac{6.3925 \text{ mm}}{1.25 \text{ mm}} = 5.114 \text{ mm}
\][/tex]
3. Determine the number of significant figures in the result:
- The result should be rounded to the least number of significant figures present in the given numbers. Here, the divisor [tex]\(1.25\)[/tex] mm has 3 significant figures.
4. Round the result to 3 significant figures:
- The obtained quotient is [tex]\(5.114\)[/tex], and it already has 3 significant figures.
Thus, the most precise quotient using the correct number of significant figures is:
[tex]\[
6.3925 \text{ mm} \div 1.25 \text{ mm} = 5.11\text{ mm}
\][/tex]
Write the answer in the box:
[tex]\[
5.114 \text{ mm}
\][/tex]
Therefore, [tex]\( \boxed{5.114} \text{ mm} \)[/tex] is the quotient rounded to the correct number of significant figures.
