Distributive property for multiplying two digits by one digit

0:00- [Instructor] We're told to complete the equations. They have 34 x 8, and then they have something times eight, plus 4 x 8. Then they add all that stuff together and then they get to something else. So pause this video and think about what should be in these blanks.

0:14All right, so let's just think about this first thing. And sometimes when you see all of these blanks and parentheses, it can get a little confusing. But if you just try to break down, how would you try to actually tackle this? Well, you could actually view 34 x 8 as (30 x 8) + (4 x 8).

0:31And another way to think about it is 34 is the same thing as 30 + 4. 30 + 4, and we're multiplying that times eight. So we're gonna multiply that whole thing times eight. And so then if you apply the distributive property, that's going to be 30 x 8, so 30 x 8 + 4 x 8 + 4 x 8.

1:00So 4 x 8. And so what do we have right over here in this first step? Well, they have something times eight + 4 x 8, so that something is going to be 30. And you can even verify that because in this next step, you can see that the 4 x 8 is this 32 right over here.

1:23And you can say, "Well, what times eight is 240?" We can see that's definitely 30 x 8. 3 x 8 is 24, so 30 x 8 is 240. So that is the same thing as that. So I know it's sometimes a little bit complicated, but just try to see what you would do if you were doing distributive property.

1:39And then you'll see what numbers you might wanna fill in. Now, this last step, we just have to add 240 + 32. You might be able to do that in your head. 240 + 30 is 270, plus another two is 272. If we want, we could write it out here. 240 + 32. In the ones place, 0 + 2 is 2.

2:00Tens place, four tens plus three tens is seven tens. And then we have two hundreds, 272.