Estimate with compatible numbers. Then find each quotient. \( \begin{array}{l}\text { 1. } 2392+64 \\ \text { 2. } 9288 \div 43\end{array} \) \( \begin{array}{lll}\text { 3. } 2118 \div 72 & \text { 4. } 3581 \div 25 \\ \text { 5. } 5 8 \longdiv { 1 9 , 8 4 7 } & \text { 6. } 2 1 2 \longdiv { 9 5 9 8 } & \text { 1. } 4 1 6 \longdiv { 1 2 , 8 9 6 } \\ \text { 8. } 3 9 \longdiv { 1 9 , 7 7 3 } & \text { 9. } 1 5 3 \longdiv { 1 5 4 , 0 7 1 } & \text { 10. } 7 2 3 \longdiv { 3 8 5 , 6 2 2 }\end{array} \)
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To estimate using compatible numbers, we can round to numbers that are easier to calculate with while preserving the relationships of the original numbers. 1. For \( 2392 + 64 \), we'll round \( 2392 \) to \( 2400 \) and keep \( 64 \) as is. So, \( 2400 + 60 = 2460 \). Therefore, the estimated sum is \( 2460 \). 2. For \( 9288 \div 43 \), we can round \( 43 \) to \( 40 \). So, \( 9288 \div 40 \) approximately equals \( 232.2 \). We'll round that down to \( 232 \) for simplicity. Therefore, the estimated quotient is \( 232 \). 3. For \( 2118 \div 72 \), round \( 72 \) to \( 70 \), which gives approximately \( 30.3 \), so the estimated quotient is \( 30 \). 4. For \( 3581 \div 25 \), round \( 25 \) to \( 30 \) or \( 20 \) (both are compatible). Using \( 30 \), \( 3581 \div 30 \) gives approximately \( 119.37 \), so we can estimate the quotient as \( 119 \). 5. For \( 58 \longdiv{19847} \), 58 can stay as is since it’s a manageable divisor. The rough estimate gives approximately \( 343 \) for \( 19847 \div 58 \). 6. For \( 212 \longdiv{9598} \), round \( 212 \) to \( 200 \). Thus, \( 9598 \div 200 \approx 48.0 \) leads us to estimate the quotient as \( 48 \). 7. For \( 416 \longdiv{12896} \), rounding \( 416 \) to \( 400 \), the approximate quotient becomes \( 32.2 \). Thus, we can suggest \( 32 \) as the rounded result. 8. For \( 39 \longdiv{19773} \), rounding \( 39 \) to \( 40 \) gives us \( 19773 \div 40 \approx 494.325 \), so we can estimate \( 494 \) as a quotient. 9. For \( 153 \longdiv{154071} \), rounding \( 153 \) to \( 150 \) results in \( 154071 \div 150 \approx 1027.14 \), leading to an estimate of \( 1027 \). 10. For \( 723 \longdiv{385622} \), we can round \( 723 \) to \( 720 \). The estimated quotient \( 385622 \div 720 \) gives approximately \( 535.36 \), so the estimation goes to about \( 535 \). Feel free to go through more number-crunching if you fancy; estimating is where the real fun begins!
