Questions: Use compatible numbers to find an estimated range for the quotient. 5,615 ÷ 6

Use compatible numbers to find an estimated range for the quotient. 5,615 ÷ 6
Transcript text: 3. Use compatible numbers to find an estimated range for the quotient. \[ 5,615 \div 6 \]
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Solution

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Solution Steps

Step 1: Identify Compatible Numbers

To estimate the quotient \(5,615 \div 6\), we look for numbers close to 5,615 that are easily divisible by 6. A good choice is 5,610 because it is close to 5,615 and divisible by 6.

Step 2: Perform the Division

Divide 5,610 by 6: \[ 5,610 \div 6 = 935 \]

Step 3: Determine the Range

Since 5,615 is slightly larger than 5,610, the actual quotient will be slightly larger than 935. Therefore, the estimated range for the quotient is: \[ 935 < \text{Quotient} < 936 \]

Final Answer

The estimated range for the quotient is: \[ \boxed{935 < \text{Quotient} < 936} \]

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