What is Area Model?
To multiply two 2-digit numbers, using the area model, follow the given steps:
Write the multiplicands in expanded form as tens and ones.
For example, 27 as 20 and 7, and 35 as 30 and 5.
Draw a 2 × 2 grid, that is, a box with 2 rows and 2 columns.
Write the terms of one of the multiplicands on the top of the grid (box). One on the top of each cell.
On the left of the grid, write the terms of the other multiplicand. One on the side of each cell.
Write the product of the number on the tens in the first cell. Then write the product of the tens and ones in the second and third cell. Write the product of the ones in the fourth cell.
Finally, add all the partial products to get the final product.
Here, for example, the area model has been used to multiply 27 and 35.
Let us see how to find the product of 3-digit number by a 2-digit number using the area model.
Let us now use the area model for the division. Here, we divide 825 by 5.