\begin{tabular}{l}$$ 8: 13 $$ ( \ Rick is trying to find $$ 140 \div 35 $$. \ Since $$ 150 \div 30=5 $$, he estimates the \ quotient is around 5. \ Check Rick's estimate. How should he adjust \ his estimate? \ Since $$ 5 imes 35140 $$, he \ should try numbers less \ than 5. \ Since $$ 5 imes 35=140 $$, he \ does not need to adjust his \ estimate. \ Adjust Rick's estimate as needed and find \ the quotient. \ $$ 140 \div 35=\square $$ \ \hline\end{tabular}

Question

\begin{tabular}{l}$$ 8: 13 $$ ( \ Rick is trying to find $$ 140 \div 35 $$. \ Since $$ 150 \div 30=5 $$, he estimates the \ quotient is around 5. \ Check Rick's estimate. How should he adjust \ his estimate? \ Since $$ 5 	imes 35<140 $$, he \ should try numbers greater \ than 5. \ Since $$ 5 	imes 35>140 $$, he \ should try numbers less \ than 5. \ Since $$ 5 	imes 35=140 $$, he \ does not need to adjust his \ estimate. \ Adjust Rick's estimate as needed and find \ the quotient. \ $$ 140 \div 35=\square $$ \ \hline\end{tabular}

UpStudy AI · Accepted Answer

To solve the problem $$ 140 \div 35 $$ and check Rick's estimate, let's go through the steps clearly.

1. **Understanding Rick's Estimate:**
   - Rick estimated $$ 140 \div 35 $$ to be around 5 based on the calculation $$ 150 \div 30 = 5 $$.
   - This is a reasonable estimate since $$ 35 $$ is close to $$ 30 $$ and $$ 140 $$ is close to $$ 150 $$.

2. **Checking the Estimate:**
   - We need to check if $$ 5 $$ is a good estimate by calculating $$ 5 \times 35 $$:
     $$
     5 \times 35 = 175
     $$
   - Since $$ 175 > 140 $$, Rick's estimate of $$ 5 $$ is too high.

3. **Adjusting the Estimate:**
   - Since $$ 5 \times 35 > 140 $$, we need to try a smaller number.
   - Let's try $$ 4 $$:
     $$
     4 \times 35 = 140
     $$
   - Since $$ 4 \times 35 = 140 $$, this means that $$ 4 $$ is the correct quotient.

4. **Final Calculation:**
   - Therefore, the quotient of $$ 140 \div 35 $$ is:
     $$
     140 \div 35 = 4
     $$

So, the final answer is:
$$
140 \div 35 = 4
$$
$$ 140 \div 35 = 4 $$

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