Place Value 1

Find the place value
of 3 in 4,356.

Now, whenever I think about
place value, and the more you

do practice problems on this
it'll become a little bit of

second nature, but whenever I
see a problem like this, I

like to expand out what 4,356
really is, so let me rewrite

the number.

So if I were to write it--
and I'll write it

in different colors.

So 4,356 is equal to--
and just think about

how I just said it.

It is equal to 4,000 plus
300 plus 50 plus 6.

And you could come up with that
just based on how we said

it: four thousand, three
hundred, and fifty-six.

Now another way to think about
this is this is just like

saying this is 4 thousands
plus-- or you could even think

of "and"-- so plus 3 hundreds
plus 50, you could think of it

as 5 tens plus 6.

And instead of 6, we could
say plus 6 ones.

And so if we go back to the
original number 4,356, this is

the same thing as 4--
I'll write it down.

Let me see how well I can-- I'll
write it up like this.

This is the same thing is 4
thousands, 3 hundreds, 5 tens

and then 6 ones.

So when they ask what is the
place value of 3 into 4,356,

we're concerned with
this 3 right here,

and it's place value.

It's in the hundreds place.

If there was a 4 here, that
would mean we're dealing with

4 hundreds.

If there's a 5, 5 hundreds.

It's the third from the right.

This is the ones place.

That's 6 ones, 5 tens,
3 hundreds.

So the answer here is it is
in the hundreds place.