We are asked to plot the number that
corresponds to the given situation. In
the first situation, we're told Dave lost
$75 in the lottery. So because he lost
$75, the number negative 75 best
describes this statement. A positive 75
would represent a win or a gain of $75.
Now we need a plot negative 75 on the
number line. Let's bring up the
interactive number line. Negative 75 is
located 75 units to the left of zero.
Notice right now negative 75 is not showing on
the number line. We need to change the
scale.  We change the scale by using this
drop-down menu.  If we change the scale to let's say tens notice negative 75 is
still and not on the number line. Let's
change the scale to 25. And notice now
negative 75 is on the number line. We
move this green point left 75 units from 0
to negative 75. This is a location of
negative 75 on the number line. For our
next example, we are given Jason gained
eight pounds. Because he gained eight
pounds, the best number to describe the
statement is positive 8. If Jason was
to lose eight pounds, we would use the
number negative 8 to describe the
situation. But because he gained eight
pounds, we use the number or integer
positive 8.  And now we need to plot
positive 8 on the number line. Positive 9
it is located 8 units to the right of 0.
Notice using the default setting, positive
8 is not on the number line. We need to
change the scale using the drop-down
menu.  Lets change the scale to 2's. Notice now we can move 8 units to the right on
the number line to positive 8. This is the
location of positive 8 on the number
line.
I hope you found this helpful.
