Question

Im so confused please help :(

Brianna and Gavin used partial quotients to show 552 divided by 23


Briannas work:

Step 1: Subtract (20×23) from 552 to get 92.

Step 2: Subtract (4×23) from 92 to get 0.

Step 3: Add partial quotients.



Gavins work:

Step 1: Subtract (10×23) from 552 to get 322.

Step 2: 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 partial quotients.



Which student(s) correctly calculated the quotient? Explain your answer

Answer 1

Both are correct. Gavin just took more steps to get his answer.

Explanation:

Briana's work:

20x23=460

522-460=92

4x23=92

92-92=0

24x23=552

Gavin's work:

10 x 23=230

552-230=322

10x23=230

322-230=92

2x23=46

92-46=46

46-46=0

24x23=552.

Hope this helps :)