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how do I use an area model to explain the product of 4.6 and 3?

Sagot :

we know that

The area model for multiplication is a pictorial way of representing

multiplication. In the area model, the length and width of a rectangle

represent factors, and the area of the rectangle represents their product

So

in this problem

the factors are

[tex] length 4.6 \\ wide 3 [/tex]

decompose the number [tex] 4.6 [/tex]

[tex] 4.6=(4+0.6) [/tex]

[tex] Area of rectangle=Area rectangle 1+Area rectangle 2\\=(4+0.6)*3\\ =4*3+0.6*3\\ =12+1.8\\ =13.8 [/tex]

see the attached figure to better understand the problem

therefore

the answer is

the product of [tex] 4.6 [/tex] and [tex] 3 [/tex] is equal to [tex] 13.8 [/tex]

View image calculista