Divide Using An Area Model

What is Area Model?

In mathematics, an expanse model is a rectangular diagram or model used for multiplication and division problems, in which the factors or the quotient and divisor ascertain the length and width of the rectangle. We can break one large area of the rectangle into several smaller boxes, using number bonds, to make the calculation easier. Then we add together to get the area of the whole, which is the production or quotient.

To multiply two 2-digit numbers, using the surface area model, follow the given steps:

Write the multiplicands in expanded grade as tens and ones.

For case, 27 equally 20 and vii, and 35 equally 30 and v.

Draw a ii × 2 filigree, that is, a box with ii rows and 2 columns.
Write the terms of one of the multiplicands on the height of the filigree (box). I on the acme of each cell.
On the left of the grid, write the terms of the other multiplicand. One on the side of each prison cell.
Write the product of the number on the tens in the first cell. And then write the production of the tens and ones in the second and third jail cell. Write the product of the ones in the fourth cell.

Multiplicands - Write the product in the cell

Finally, add all the fractional products to get the concluding product.

Here, for example, the expanse model has been used to multiply 27 and 35.

Let us run into how to notice the production of 3-digit number past a 2-digit number using the expanse model.

Area model multiplication 3 Digit by 2 Digit

Allow us at present utilise the surface area model for the partition. Here, we dissever 825 by 5.

Fun Facts
1. The area model is also known as the box model.
2. The area model of solving multiplication and division bug is derived from the concept of finding the surface area of a rectangle.
Area of a rectangle = Length × Width.