Distributive property for multiplying two digits by one digit | Khan Academy

- [Instructor] We're told
to complete the equations.

They have 34 times 8,

and then they have something
times 8, plus 4 times 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.

All 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 times 8 as 30 times 8,

plus 4 times 8.

And another way to think about it is

34 is the same thing as 30 plus 4.

30 plus 4.

And we're multiplying that times 8.

So we're gonna multiply
that whole thing times 8.

And so, then, if you apply
the distributive property,

that's going to be 30 times 8.

So 30 times 8,

plus 4 times 8.

Plus 4 times 8.

So 4 times 8.

And so, what do we have right
over here in this first step?

Well, they have something
times 8, plus 4 times 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 times
8 is this 32 right over here.

And you could say, well,
what times 8 is 240?

We can see that's definitely 30 times 8.

3 times eight is 24, so 30 times 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,

and then you'll see what
numbers you might wanna fill in.

Now, this last step, we just
have to add 240 plus 32.

You might be able to do that in your head.

240 plus 30 is 270, plus another 2 is 272.

If we want, we could write it out here.

240 plus 32.

In the ones place, 0 plus 2 is 2.

Tens place, four tens plus
three tens is seven tens.

And then, we have two hundreds, 272.