We're asked to plot each decimal
on the number line.
The first decimal is 0.7, or 7/10.
Notice that 0.7, or 7/10,
is between zero and one,
or 0.7 is greater than
zero and less than one.
Let's begin by plotting zero
and one on the number line
where zero is on the left
and one is on the right.
Notice how this interval
has a length of one unit,
so now we'll cut this interval
into 10 equal subintervals
where each subinterval
will have a length of 0.1,
or 1./10 of a unit, where in
the middle we would have 0.5.
And now we'll cut the
interval on the left and right
into five equal subintervals.
And again, each of these subintervals
has a length of 1/10 of
a unit, or 0.1 units.
So starting on the left at zero,
we have zero and then
0.1, 0.2, 0.3, and so on.
And now we can plot 0.7 on the
number line, which is here.
Next, we have 2.14, or 2 14/100.
Because the decimal has
the 100th place value,
this time we need to recognize that 2.14
is between 2.1 and 2.2, or
2.14 is greater than 2.1
and less than 2.2.
So because we have the
100ths place value this time,
we'll first plot 2.1 on
the number line on the left
and 2.2 on the right.
Notice this time this interval
has a length of 1/10, or 0.1 units.
So now we'll cut this interval
into 10 equal subintervals,
where each subinterval will have a length
of 100th of a unit, or 0.01 units.
So in the middle,
we have 2.15, and now
we'll cut the interval
on the left and right and
do five equal subintervals,
where again, each of
these small subintervals
has a length of 0.01
units, or 1/100 of a unit.
So starting at 2.1 we would have 2.11,
2.12, 2.13, and so on.
And now I can plot 2.14, or 2 14/100,
which is here on the number
line just to the left of 2.15.
I hope you found this helpful.
