Contents
Area Model – Definition with Examples
In mathematics, an area model is a rectangular diagram or model used for multiplication and division problems, in which the factors or the quotient and divisor define the length and width of the rectangle. … Then we add to get the area of the whole, which is the product or quotient.
In mathematics, an area model is a rectangular diagram or model used for multiplication and division problems, in which the factors or the quotient and divisor define the length and width of the rectangle. … Then we add to get the area of the whole, which is the product or quotient.
A partial quotient refers to a method for solving large division problems in mathematics. An alternative to the traditional long division method is the partial quotient method. This partial quotient division method is used to make multi-digit division simple and easy to understand and perform.
The area method relates the students’ understanding of area as a two-dimensional representation of multiplication (length x width) to “Partial Products Multiplication” – that is, when each place-value part of a number is multiplied by the other parts.
To work out the area of a square or rectangle, multiply its height by its width. If the height and width are in cm, the area is shown in cm². If the height and width are in m, the area is shown in m². A square with sides of 5 m has an area of 25 m², because 5 × 5 = 25.
We can do this by breaking the lengths of the sides into smaller numbers using expanded forms. For example, 25 can be written as 20 + 5. Similarly, the width 18 can be written as 10 + 8. Using these, we can divide the original rectangle into 4 smaller rectangles as shown.
Area models can be used to represent simple probabilities. The whole figure represents the total number of possible outcomes. The shaded part represents the desired outcomes. … Assume divided sections within a figure are equal in area.
For instance, 26 × 43 would give you the following partial products: 20 × 40 = 800 ; 20 × 3 = 60 ; 6 × 40 = 240 ; and.
The partial product method involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place. (So, the 2 in 23 would actually be 20.) For instance, 23 x 42 would become (20 x 40) + (20 x 2) + (3 x 40) + (3 x 2).
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