There are two parts to the following question. First answer part A. Then answer part B,
Part A, Brianna and Gavin used partial products to show 552 divided by 23, see their work below,
Brianna’s work
Step 1: subtract (20x30) from 552 to get 92
Step 2: subtract (4x23) from 92 to get 0
Step 3: add the partial quotients
Gavin’s work
Step1 subtract (10x23) from 552 to get 322
Step2: subtract 10x23 from 322 to get 92
Step3 subtract 2x23 from 92 to get 46
Step 4: subtract 2x23 from 46 to get 0
Step5: add the partial quotients.
Which student correctly calculated the quotient? Explain you answer.
Part B
The quotient for 552 divided by 23 is ____
Part A:
In Brianna's work, she subtracts (20x30) from 552 to get 92. However, this step is incorrect. The correct calculation would be (20x23) = 460. So, the correct subtraction would be 552 - 460 = 92. Brianna then subtracts (4x23) from 92 to get 0, which is correct. She then adds the partial quotients, but it is not provided what those partial quotients are.
In Gavin's work, he correctly subtracts (10x23) from 552 to get 322. Then, he correctly subtracts (10x23) from 322 to get 92. He continues by subtracting (2x23) from 92 to get 46, and then subtracts (2x23) from 46 to get 0. Like Brianna, it is not provided what the partial quotients are, but he does correctly perform the necessary subtractions.
Based on the given information, it can be concluded that Gavin correctly calculated the quotient because he accurately performed the necessary subtracts and ended with a remainder of 0.
Part B:
The quotient for 552 divided by 23 is not provided in the given information.