To estimate the quotient of the division problem [tex]\(\frac{5.97}{23.564}\)[/tex], let's walk through the steps in detail.
1. Understanding the Values:
- The numerator is [tex]\(5.97\)[/tex].
- The denominator is [tex]\(23.564\)[/tex].
2. Finding the Exact Quotient:
- The exact quotient is calculated as [tex]\( \frac{5.97}{23.564} \)[/tex].
- This division equals approximately [tex]\(0.2533525717195722\)[/tex].
3. Estimating the Quotient:
- For estimation, typically we round the exact quotient to the nearest whole number.
- The exact quotient [tex]\(0.2533525717195722\)[/tex] is very close to zero when rounded to the nearest whole number.
- Thus, the correct estimated quotient is [tex]\(0\)[/tex].
However, examining the provided answer options:
[tex]\[
4, 5, 6, 7
\][/tex]
We notice that none of these options are close to our exact value of [tex]\(0.2533525717195722\)[/tex]. Given these choices, none of them accurately represent the best estimation of the exact quotient of the given division problem.
