218k views
1 vote
What is the box method of 231 x 7

1 Answer

4 votes

We can see that using the box method, 231 multiplied by 7 equals 1,617.

The box method is a visual multiplication technique that breaks down the multiplication process into smaller steps by using boxes or grids. Let's multiply 231 by 7 using the box method:

Step 1: Create a box or grid with three columns (one for each digit in 231) and one row (for the number 7).

2 3 1

7

Step 2: Starting with the rightmost digit of 7 (which is 7), multiply it by each digit of 231 separately, placing the products in the respective boxes.

2 3 1

7

_________

14 21 7

Step 3: Align the numbers in their correct positions and add the products diagonally.

2 3 1

7

_________

14 21 7

+ 14 21 7 0 (Pad with a zero as we are moving to the next digit)

_____________

1 6 1 7

Step 4: Finally, sum the results to get the final product:

231 multiplied by 7 equals 1,617.

Therefore, using the box method, 231 multiplied by 7 equals 1,617.

User John Anderson
by
8.3k points