# How can area models be used to solve multiplication problems?

Space and AstronomyMultiplying by a 1-digit number using area models **Show the problem as the area of a rectangle, and then break that rectangle into smaller chunks for easier solving**. This method is also known as box multiplication.

Contents:

## How do you use models for multiplication?

Video quote: *First we'll start with the product of 20 and 40 which we know is equal to 800. Then the product of 20 and 3 which we know is equal to 60. Next we can find the product of 40.*

## What’s an area model in multiplication?

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**.

## Which multiplication problem does the area model represent?

The Area Model: What We Typically See

The area model is typically seen like this for a **2-digit by 2-digit multiplication problem**. The factors become the side lengths of our rectangle. The area of the rectangle will be our product. We decompose the factors into tens and ones.

## How do you use area model for probability?

**Directions for using an Area Model:**

- Read the probability situation carefully and determine the two different events taking place.
- Draw a rectangle.
- Assign and label one side (length or width) of the rectangle one event and do the same for the other event.

## How do area models show partial products?

Video quote: *Then we're going to multiply the smaller rectangle numbers. And then when we're all done multiplying we're gonna add all the totals.*

## How can you use an area model and partial products to multiply?

Video quote: *We can use a model to break apart factors. And make them easier to multiply. We can model 15 times 16 on grid paper then break apart each factor into smaller rectangles.*

## How do you use partial products to solve multiplication?

Video quote: *Times. 30 if we now actually write out all these products what they're equal to 6 times 7 is 42 6 times 36 times 3 tens that's 6 times 3 which is 18. And we have that 0 there 20 times 7 is 140.*

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