 
Section 1.3, numbers
six and seven.
These numbers both have
something to do with graphing
on a number line.
So let's take a look at them.
First, we want to graph
the number minus 11/4.
So first thing to do is create
a number line, extends to
infinity in both directions.
Let's put a zero in the middle,
and let's go out
plus 5 minus 5.
 
OK.
So if I wanted to graph, instead
of that minus 11/4,
let's start with just
the number 3.
If I wanted to graph the number
3, what I do is find
the 3 on the number line.
Right on the number line, at
that position, I put a dot.
So you don't want to put it
above or below, you put it
right on the number line.
If I wanted to graph
4 and 1/2.
All right, so mixed number, so
what I would do is start at 0
go over 4, then keep going for
1/2, right on the number line,
that would be 4 and 1/2.
 
Minus 11/4 is a little bit
weird to graph because, I
don't really know its value
quite as easily as 4 and 1/2.
So the first thing I do is
change it to a mixed number.
4 fits into 11 two times,
because 2 times 4 is 8.
3 times 4 is too much,
it brings me to 12.
And if 2 times 4 is 8, that
means I'm 3 away from 11.
So I have 3 left
over out of 4.
So that's the mixed
number for it.
The minus sign tags along, so
I have minus 2 and 3/4.
OK, that's a little easier
to visualize.
So minus 2, so go left
2, then another 3/4.
 
And just approximately, put it
at the minus 2 and 3/4 spot.
All right, so that would be
graphing the numbers on the
number line.
Now, something related to number
lines is knowing which
number is larger.
And it can be difficult when
you have two negatives.
It's harder to see which one is
larger than the other one.
Well, they're actually asking
us which one is smaller.
So generally, by instinct, you
might say the 2 is smaller.
But a smaller number, by
definition, is something that
is more to the left on
the number line.
So when we're at the positive
numbers, yes, 2 would be less
than 6, which is over here.
But when we go to the negatives,
let's put the minus
6 there, minus 6 is more to the
left, it's more negative,
so minus 6 is smaller.
 
