Multiplying Integers with Partial Products

Multiplying Integers with Partial Products Most of us have learned to multiply two two-digit numbers by using the standard algorithm of multiplying digits one by one, carrying over, etc. An alternate approach that allows students to understand multiplication as an area problem, and allows them to break the task up into smaller chunks, is through partial products. Students can take a problem like 43 times 56, break it up into (40 + 3) times (50 + 6), and find four separate products and add: (40 x 50) + (40 x 6) + (50 x 3) + (6 x3) = 2408. This approach can be used in later grades when learning distributive property and multiplying polynomials. Some terms used in this video while working with the array word problems are: Standard algorithm: a step-by-step way to solve a problem. Partial products: involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place. Multiplying two-digit numbers is a Common Core math standard. http://www.corestandards.org/Math/Content/4/NBT/B/5/ Math Videos for Parents Follow us on Facebook: http://www.facebook.com/mathvideosforparents Subscribe to our YouTube Channel: https://www.youtube.com/channel/UCVCVmCfZhq0mLLB6D2bbQ7Q Please reach out with any problem requests. We enjoy helping you so that you can help your kids!