Brianna and Gavin used partial quotations to show 552 divided by 23 see their work below Brianna Work step one subtract 20 * 23 from 552 to 92 step 2 subtract 4 * 23 from 92 to get zero step three add your 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

Answer 1

Let's break down both Brianna's and Gavin's work using partial quotients to divide 552 by 23.

Brianna's Work

1. Step 1: Subtract \(20 \times 23\) from 552: \[ 552 - 460 = 92 \]
2. Step 2: Subtract \(4 \times 23\) from 92: \[ 92 - 92 = 0 \]
3. Step 3: Add your partial quotients: \[ 20 + 4 = 24 \]

So, Brianna concludes that \(552 \div 23 = 24\).

Gavin's Work

1. Step 1: Subtract \(10 \times 23\) from 552: \[ 552 - 230 = 322 \]
2. Step 2: Subtract \(10 \times 23\) from 322: \[ 322 - 230 = 92 \]
3. Step 3: Subtract \(2 \times 23\) from 92: \[ 92 - 46 = 46 \]
4. Step 4: Subtract \(2 \times 23\) from 46: \[ 46 - 46 = 0 \]
5. Step 5: Add the partial quotients: \[ 10 + 10 + 2 + 2 = 24 \]

So, Gavin also concludes that \(552 \div 23 = 24\).

Conclusion

Both Brianna and Gavin arrive at the same answer, which is correct: \[ \boxed{24} \]