Question: Aaliyah is trying to find $594 \div 27$. Since $600 \div 30 = 20$, she estimates the quotient is around $20$. Check Aaliyah's estimate. How should she adjust her estimate? Adjust Aaliyah's estimate as needed and find the quotient. $594 \div 27 =$
1. **State the problem:** We need to find the exact value of $594 \div 27$ and check if Aaliyah's estimate of $20$ is accurate.
2. **Recall the estimate:** Aaliyah used $600 \div 30 = 20$ as an estimate.
3. **Analyze the estimate:** The actual dividend $594$ is slightly less than $600$, and the divisor $27$ is less than $30$. Since the divisor is smaller, the quotient should be slightly larger than the estimate.
4. **Calculate the exact quotient:**
$$594 \div 27 = \frac{594}{27}$$
5. **Simplify the fraction:**
Both numerator and denominator are divisible by $3$:
$$\frac{594}{27} = \frac{\cancel{3}198}{\cancel{3}9} = \frac{198}{9}$$
6. **Simplify further:**
Divide numerator and denominator by $9$:
$$\frac{198}{9} = \frac{\cancel{9}22}{\cancel{9}1} = 22$$
7. **Conclusion:** The exact quotient is $22$, which is slightly larger than Aaliyah's estimate of $20$. She should adjust her estimate upwards.
**Final answer:**
$$594 \div 27 = 22$$