How can area models be used to solve multiplication problems?

Multiplying 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.

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:

1. Read the probability situation carefully and determine the two different events taking place.
2. Draw a rectangle.
3. 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.