Question

Brianna and Gavin used partial quotients to show 552 / 23 see their work below Brianna work step one subtract 20 * 23 from 552 to get 92 step 2 subtract 4 * 23 from 92 to get 0 step 3 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 zero step step 5 add the partial quotients

Answer 1

Let's review the work of both Brianna and Gavin to see how they applied the partial quotients method to solve \( 552 \div 23 \).

### Brianna's Work:
1. **Step 1:** She subtracted \( 20 \times 23 = 460 \) from 552:
\[
552 - 460 = 92
\]
2. **Step 2:** Next, she subtracted \( 4 \times 23 = 92 \) from 92:
\[
92 - 92 = 0
\]
3. **Partial Quotients:** She added the partial quotients:
\[
20 + 4 = 24
\]

### Gavin's Work:
1. **Step 1:** He subtracted \( 10 \times 23 = 230 \) from 552:
\[
552 - 230 = 322
\]
2. **Step 2:** Then he subtracted \( 10 \times 23 = 230 \) from 322:
\[
322 - 230 = 92
\]
3. **Step 3:** He subtracted \( 2 \times 23 = 46 \) from 92:
\[
92 - 46 = 46
\]
4. **Step 4:** Finally, he subtracted \( 2 \times 23 = 46 \) from 46:
\[
46 - 46 = 0
\]
5. **Partial Quotients:** He added the partial quotients:
\[
10 + 10 + 2 + 2 = 24
\]

### Conclusion
Both Brianna and Gavin correctly calculated the quotient of \( 552 \div 23 \) using the partial quotients method, arriving at a final quotient of \( 24 \). Each provided a legitimate approach, demonstrating how partial quotients can vary while still yielding the same result.