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Lesson 4: Multiply 2-digit numbers with partial products

# Multiplying two 2-digit numbers using partial products

26 times 37 is the same as 20 times 37 plus 6 times 37. The distributive property allows us to find each part of the product, like 3 tens times 2 tens, then add them all to get the whole product. Created by Sal Khan.

## Want to join the conversation?

• i like khan but it is stressing
• work harder keep trying
• Why do we all have to do it the hard way, Salman?
• I'm not Sal, but I think I can answer that.

Sal wants you to understand what you are doing, so he's teaching you from the basic strategies. If this is too easy, you can try out higher grades.
• i do khan academy but sometimes it's a little to hard but good(:
• i think i can help with that
• I don't understand you just multiply it and thats all.
• i have a problem, i don't get why they do the tens times the one, then ten times the ten, then the one times the one, and the one times the one.
• if you are more comfortable with a numeric understanding, then here's a simple way why we multiply each digit times all the other number:
37 × 26 = (30 + 7) × 26
= 30 × 26 + 7 × 26 (the distributive property)
= 30 × (20 + 6) + 7 × (20 + 6)
= 30 × 20 + 30 × 6 + 7 × 20 + 7 × 6
• Why are you choosing the hard way to multiply 2 digits? i already know this the easy way.
• To torture us? Nope! Learning and practicing different ways of doing math, while annoying, can help you in the long run.
• This is so confusing, does anyone know of any other videos that explain this *better?* Because this guy makes it look complicated to be honest... 😭
• No, but I am struggling too... :(
• what about 20 divided by 60? Where do the zeros go?
• 20 divided by 60 is actually less than 1, because 20 is less than 60. Let’s simplify it.

60 is divisible by 20, so let’s remove the 0s.

Then 6 divided by 2 is 3, so let’s do the other side of the equation. 20 divided by 20 equals 1 because something divided by itself is 1. So it is 1 divided by 3, which is 1/3, or .333…… so yeah.