here are two parts to the following question. First, answer part A. Then, answer part B. Brianna and Gavin used partial quotients to show 552÷23 . See their work below. Brianna's work Gavin's work Step 1: Subtract (20×23) from 552 to get 92. Step 1: Subtract (10×23) from 552 to get 322. Step 2: Subtract (4×23) from 92 to get 0. Step 2: Subtract (10×23) from 322 to get 92. Step 3: Add partial quotients. Step 3: Subtract (2×23) from 92 to get 46. Step 4: Subtract (2×23) from 46 to get 0. Step 5: Add the partial quotients. Part A Which student(s) correctly calculated the quotient? Explain your answer. (2 points) Question 2 (1 point) Part B The quotient for 552÷23 is . Skip to navigation

Answer 1

To determine which student correctly calculated the quotient for \( 552 \div 23 \), we can evaluate their work step-by-step.

Brianna’s Work:

1. Subtract \( 20 \times 23 = 460 \) from 552 to get \( 92 \).
2. Subtract \( 4 \times 23 = 92 \) from 92 to get \( 0 \).
3. Add the partial quotients: \( 20 + 4 = 24 \).

Gavin’s Work:

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

Conclusion for Part A:

Both Brianna and Gavin correctly calculated the quotient in their respective processes, as they each ended up with a total of 24 partial quotients (24).

Answer for Part B:

The quotient for \( 552 \div 23 \) is \( 24 \).