1 / 10

Partial Products Multiplication

Partial Products Multiplication. How to multiply multi-digit numbers. What is a partial product?.

hannelore-evan
Download Presentation

Partial Products Multiplication

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Partial Products Multiplication How to multiply multi-digit numbers

  2. 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?

  3. 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

  4. Step 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

  5. Step 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 + 3 X 3x3x3 1500 120 9

  6. Step 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

  7. Step 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.

  8. Step 6 • Did you know you can ALSO check your work by using the traditional method of multiplying? • ‘543 • X 3 • 1629

  9. Let’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 x5x5 Now do the multiplying! • 3000 + 250 + 40 = 3290

  10. 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…

More Related