This video is going to
show you how to round
three and 53 hundredths
to the nearest tenth.
Let's use a number line
to actually check and see
what's going on when we round,
because you've probably heard the phrase
five or higher round up,
four or lower stays
the same or round down,
or maybe you can't even remember what that
silly little rhyme was.
Let's take a look at
what's actually happening
on the number line,
and I have a feeling it's
going to be really clear.
So you can see here that
since we're rounding
to the nearest tenth,
I've decided to, I call it jumping,
hop on my number line one tenth,
so that's the first thing
is you need to make sure
that you are only jumping a
tenth on your number line,
then you need to think
about what's in the middle,
so between three and five tenths
and three and six tenths,
what is in the middle?
So I'm just going to
put a little mark here,
and an easy way if you're
confused and you're like
I don't know what's in the middle,
put some zeros on the end here
to hold some place values,
and think about what's
in between 50 and 60
when we know it's 55.
So in the middle is going to
be three and 55 hundredths.
Now the next thing we need
to do is actually plot
our decimal on the number line,
so we have three and 53 hundredths,
and we need to decide
is it going to go on the
left-hand side of the number line
or the right-hand side of the number line?
And if I'm thinking about
this I can think about this is
three point five one, point five two,
three, four, here's five,
three point five, I'm sorry,
yeah, three point five six,
three point five seven,
three point five eight,
three point five nine,
and three point six,
or three point six zero or
three and 60 hundredths.
So I'm going to go ahead and
put this on the number line
and I know it's going
to go about right there.
There is going to be
three and 53 hundredths.
Now I need to ask myself
is it closer to three and 50 hundredths,
or three and 60 hundredths,
or another way of saying
that is is it closer to
three and five tenths
or three and six tenths?
Well, I can see that
since it's on this side
of the number line,
it's going to be closer
to three and five tenths.
So, three and 53 hundredths rounded to
the nearest tenth is going to be
three and five tenths.
Now, if it was a decimal,
that would've been plot on the other side
of this mid-line here,
then it would have been closer
to three and six tenths,
or three and 60 hundredths.
Now you might be thinking
well what if it's
directly in the middle?
If it's directly in the middle,
we have a common understanding
that you are going to always round up,
which is why we say if it's
five or higher round up,
if it's four or lower it
stays the same or round down.
So, three and 53 hundredths
rounded to the nearest tenth
would be three and five tenths,
and that's because it is closer to
three and five tenths on the number line.
I hope you find this video helpful.
