Brianna and Gavin used partial quotients to show 552 / 23 see their work below Brianna's work step one subtract 20 * 23 from 552 to get 92 step two subtract 4 * 43 from 92 to get zero step three add partial quotients Gavin work step one subtract 10 * 23 from 552 to get 322 step two subtract 10 * 23 from 322 to get 92 step 3 subtract 2 * 23 from 92 to get 46 step 4 subtract 2 * 23 from 46 to get 0 step 5 add the patial quotients which student correctly calculate the quotation

Answer 1

Let's analyze the work done by Brianna and Gavin to find out who calculated the quotient correctly.

Brianna's Work

1. Step 1: Subtract \(20 \times 23\) from 552.
   \(552 - 460 = 92\) (Correct)
   Partial quotient so far: \(20\)

2. Step 2: Subtract \(4 \times 23\) from 92.
   \(92 - 92 = 0\) (Correct)
   Partial quotient so far: \(20 + 4 = 24\)

3. Final Result: The total partial quotients are \(24\).

Gavin's Work

1. Step 1: Subtract \(10 \times 23\) from 552.
   \(552 - 230 = 322\) (Correct)
   Partial quotient so far: \(10\)

2. Step 2: Subtract \(10 \times 23\) from 322.
   \(322 - 230 = 92\) (Correct)
   Partial quotient so far: \(10 + 10 = 20\)

3. Step 3: Subtract \(2 \times 23\) from 92.
   \(92 - 46 = 46\) (Correct)
   Partial quotient so far: \(20 + 2 = 22\)

4. Step 4: Subtract \(2 \times 23\) from 46.
   \(46 - 46 = 0\) (Correct)
   Partial quotient so far: \(22 + 2 = 24\)

5. Final Result: The total partial quotients are \(24\).

Conclusion

Both Brianna and Gavin added their partial quotients correctly, leading to a final partial quotient of \(24\) for each of their methods.

Therefore, the correct answer for \(552 \div 23\) is: \[ \text{Quotient} = 24 \]

Both students calculated the quotient correctly with the same result.