Partial Products Multiplication

Partial Products Multiplication

How to multiply multi-digit numbers

How to multiply multi-digit numbers

What is a partial product?What is a partial product? Partial means part of and when we use

this method, we are breaking the numbers or factors into smaller parts--I am calling them chunks because you are familiar with that term from reading! But we are working with a smaller part first before we put the factors all together to find the product. Can you see the word part in partial?

Partial means part of and when we use this method, we are breaking the numbers or factors into smaller parts--I am calling them chunks because you are familiar with that term from reading! But we are working with a smaller part first before we put the factors all together to find the product. Can you see the word part in partial?

What do I do first?What do I do first? When multiplying with multi-digits, the first thing

we want to do is use expanded notation to break down the numbers or factors into smaller chunks. This helps us do one piece at a time.

For example, let’s break down the top number in this number sentence:

543 can be expanded to 500 + 40 + 3 x 3

When multiplying with multi-digits, the first thing we want to do is use expanded notation to break down the numbers or factors into smaller chunks. This helps us do one piece at a time.

For example, let’s break down the top number in this number sentence:

543 can be expanded to 500 + 40 + 3 x 3

Step 2Step 2 You will want to set up the problem

vertically and make sure to include the bottom number with each chunk of the expanded number.

For example, 543 x 3 should look like this:

500 + 40 + 3 X 3 x3 x 3

You will want to set up the problem vertically and make sure to include the bottom number with each chunk of the expanded number.

For example, 543 x 3 should look like this:

500 + 40 + 3 X 3 x3 x 3

Step 3Step 3

Do the work of multiplying each chunk. You can work from the left to the right or the right to the left.

500 + 40 + 3X 3 x3 x3

1500 120 9

Do the work of multiplying each chunk. You can work from the left to the right or the right to the left.

500 + 40 + 3X 3 x3 x3

1500 120 9

Step 4Step 4 Now you will add all the chunks or

partial products together. Make sure you are aligning the numbers with the correct place value spacing:

1500 120 + 9

1629

Now you will add all the chunks or partial products together. Make sure you are aligning the numbers with the correct place value spacing:

1500 120 + 9

1629

Step 5Step 5 Check your work!

1. Did you add all the parts? Did you add them all correctly?

2. Are your place values aligned correctly?

These two points are very important and usually where any mistakes are made.

Check your work!

1. Did you add all the parts? Did you add them all correctly?

2. Are your place values aligned correctly?

These two points are very important and usually where any mistakes are made.

Step 6Step 6

Did you know you can ALSO check your work by using the traditional method of multiplying?

‘543 X 3 1629

Did you know you can ALSO check your work by using the traditional method of multiplying?

‘543 X 3 1629

Let’s try this againLet’s try this again

Remember, we want to use expanded notation first.

658 will look like this 600 + 50 + 8 x5 Now we want to set up the problem like this: 600 + 50 + 8 X 5 x5 x5 Now do the multiplying! 3000 + 250 + 40 = 3290

Remember, we want to use expanded notation first.

658 will look like this 600 + 50 + 8 x5 Now we want to set up the problem like this: 600 + 50 + 8 X 5 x5 x5 Now do the multiplying! 3000 + 250 + 40 = 3290

How did you do?How did you do?

Are you ready to try it on your own?

Of course, you can work with a table buddy if you’d prefer…

Are you ready to try it on your own?

Of course, you can work with a table buddy if you’d prefer…