First estimate and then use the long division method to find the an Let your partner use a calculator to check your answers. \( \begin{array}{lll}\text { 1. } 2453 \div 312 & \text { 2. } 5876 \div 424 & \text { 3. } 3275 \div 25 \\ \text { 4. } 3772 \div 323 & \text { 5. } 4498 \div 634 & \text { 6. } 6640 \div 30 \\ \text { 7. } 9578 \div 162 & \text { 8. } 7645 \div 502 & \text { 9. } 9200 \div 83\end{array} \)
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The Deep Dive
To estimate the results of these divisions, you can round the numbers to the nearest hundreds or simpler values. For example, for \(2453 \div 312\), you might round 2453 to 2400 and 312 to 300, leading to an estimated answer of approximately 8. For \(3275 \div 25\), you can keep it straightforward since 25 goes into 100 smoothly; therefore, it gives an estimated answer of around 130. Now, let's demonstrate the long division for \(2453 \div 312\) step-by-step. First, determine how many times 312 fits into the beginning portion of 2453. 312 goes approximately 7 times, giving \(7 \times 312 = 2184\). Subtract this from 2453 to find the remainder. Bring down the next digit if needed, and repeat this to find the final quotient. You can double-check with your partner's calculator to see how close your estimates were!
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