Box multiplication

⛱️ Box method of multiplication:

  • Step 1: Make a table with the place values of the first factor along the top and the place values of the second factor down the left.
  • Step 2: Multiply the place values and enter their products in the table.
  • Step 3: Sum each row of the table.
  • Step 4: Add these row sums. This is the product of the original factors.

Learn with an example

🎯Use the box method to find 50×75.

🗼 Step 1
To multiply two numbers using the box method, make a table with the place values of the first factor along the top and the place values of the second factor down the left.

🗼 Step 2

Multiply the place values and enter their products in the table.

  • Simplify the table.

🗼 Step 3

Sum each row of the table.

🗼 Step 4

Add these row sums. This is the product of the original factors.

  • 3,500+250=3,750
  • So, 50×75=3,750.

🎯Use the box method to find 49×50.

🗼 Step 1

To multiply two numbers using the box method, make a table with the place values of the first factor along the top and the place values of the second factor down the left.

🗼 Step 2

Multiply the place values and enter their products in the table.

  • Simplify the table.

🗼 Step 3

  • Sum each row of the table.

🗼 Step 4

Add these row sums. This is the product of the original factors.

  • 2,450+0=2,450
  • So, 49×50=2,450

🎯 Use the box method to find 22×82.

🎯 Calculate the sums on the right. Add these sums to find 22×82.

🗼 Step 1

To multiply two numbers using the box method, make a table with the place values of the first factor along the top and the place values of the second factor down the left.

🗼 Step 2

Multiply the place values and enter their products in the table.

  • Simplify the table.

🗼 Step 3

Sum each row of the table.

🗼 Step 4

Add these row sums. This is the product of the original factors.]

  • 1,760+44=1,804
  • So, 22×82=1,804.

Let’s practice!🖊️