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Lesson 5: Multiply with partial products

# Multiplying 2-digits by 1-digit with partial products

We can multiply larger numbers by multiplying by the tens and ones separately, then adding the products together. Multiplying with partial products is one way we use the distributive property. Created by Sal Khan.

## Want to join the conversation?

• Think about what 37 x 6 is really calculating:

or,

We know, for example, that 10 x 5 = 50. We also know that 10 x 2 = 20. And we similarly know that (10 x 2) + (10 x 5) is really the same thing as 10 x 7; 10 five times and 10 two times are a total of 10 seven times.

In the example Sal used, 37 x 6 is really the same thing as (30 x 6) + (7 x 6). 6 was added together 30 times, then, separately, 6 was added together 7 times. Combining the two products gives the correct answer of 222.
• bruh we can just use the traditional way
way easier
• Why Isn't my computer letting me watch this video?
• This video was confusing. But the other half of multiplying by a column was a little better.

This is the first time you have really shown us how to multiply and then add all the numbers together that way.

I just wish Sal took his time to explain everything slowly and patiently like Lindsay.
• I don't get this
• I don’t know what this means
• easy if you watch the video a few times and take notes but I mean its your choice
• Before I watched the video I think the answer is 222