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7 days ago

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

Mathematics

2 answers:

PIT_PIT [3.9K]7 days ago

7 0

We understand that

The area model serves as a visual representation for

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

correspond to the factors, while the area represents their product.

in this scenario

the factors are

$length 4.6 \\ wide 3$

decompose the number $4.6$

$4.6=(4+0.6)$

$Area of rectangle=Area rectangle 1+Area rectangle 2\\=(4+0.6)*3\\ =4*3+0.6*3\\ =12+1.8\\ =13.8$

refer to the attached figure for clearer understanding

therefore

the conclusion is

the multiplication result of $4.6$ and $3$ yields $13.8$

AnnZ [3.8K]7 days ago

4 0

<span>The area model simplifies understanding the given problem. To do this, we start by breaking down the numbers.
We have values of 4.6 and 3.

First, let's consider the whole numbers for multiplication:
Whole number of 4.6 => 4
whole number of 3 => 3

Next, we multiply the whole numbers:
=> 4 x 3
=> 12
Then we compute the decimal portion:
=>.6 x 3
=> 1.8
Finally, add them together:
=> 12 + 1.8
= 13.8</span>

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