What is the place value of 3 in 654.213?
So let's think about that a little bit.
And to do that, let me rewrite the number, and I'll write
each digit in a different color.
So we have 654 point-- we get the decimal point-- 213.
Now we're pretty familiar, I think, with what goes on to
the left of the decimal point.
We know that this right here-- let me do this in a neutral
color-- is the hundreds place, or we could view that as 10 to
the second.
Let me write that a little bit bigger down here.
So this right here that is the hundreds place, or you could
view that as the 10 to the second's place, which is the
same thing as hundred.
This right here is the tens place, which is the same thing
as 10 to the first. This right here is the ones place, which
is the same thing as 10 to the zero.
Then if you go one place to the right of the decimal
point, this represents tenths.
This represents tenths, or we could view it as 10 to the
negative one.
Then, if we go to this magenta, if we go two places
to the right, this represents hundredths, or 10 to the
negative two.
And then finally, this 3 represents thousandths.
This represents thousandths, or 10 to the negative three.
Now, just to answer the question what is the place
value of 3 in 654.213?
The place value is thousandths.
That would essentially answer their question.
But to make sure that we really understand what this
means, I'm going to rewrite this number.
We can rewrite this number as 600.
We have 6 hundreds plus 5 tens, or you could say plus 50
plus 4 ones plus 2/10, plus 1/100, plus 3/1,000.
Or we could write this, just to really make sure we
understand what we're talking about when we mean place
value, we can rewrite this number as 6 times 100, plus 5
times 10, plus 4 times 1-- I keep doing that in the wrong
color-- plus 2 times 1/10, plus 1 times 1/100, and then
finally, plus 3 times 1/1,000.
So hopefully, when you write it out like this, it gives you
a sense of what it means we say place value.
The 6, three digits to the left of the decimal, is in the
hundreds place, so it represents 6 hundreds.
This represents 5 tens because it's in the tens place.
This represents 4 ones.
You go to the thousandths place, this 3 literally
represents three one-thousandths.