We are asked to find a difference
and we have seventy-one minus twenty-three,
because twenty-three is less than seventy-one
we can go ahead and subtract like we normally do,
by writing this subtraction problem vertically
and lining up the corresponding place values.
So, we'd have seventy-one
minus twenty-three,
Subtracting,
we need a performative exchange here.
So, the seven becomes a six,
and now we have eleven one,
eleven minus three is eight,
and six minus two is four,
the difference is forty-eight.
but sometimes we are asked to write
subtraction problems,
as addition problems.
What's also write these differences as a sum,
and then find this sum,
using the formal rules for adding integers,
and also show the sum on the number line.
We can write a difference as a sum because,
subtracting integers
is the same as adding the opposite.
because minus B,
is the same as plus negative B
we can write minus twenty-three,
as plus negative twenty-three
So, seventy-one minus twenty-three 
is equal to seventy-one plus
negative twenty-three.
before look at the rules for adding integers,
we should be recognized at the positive seventy-one
is going to out way the negative twenty-three,
and therefor the sum will be positive
which we already know, its forty-eight.
But now, looking at the rules for adding integers
because we have a positive plus a negative,
let's find this sum
using the rules for adding two
 integers with different signs.
So, the first step would be to find
the absolute value of both integers
so we would find the absolute value of seventy-one,
and the absolute value of negative twenty-three.
The absolute of a numbers is a 
numbers distance from zero,
and distance is always positive.
So, the absolute value of positive
seventy-one is positive seventy-one
the absolute value of negative twenty-three is positive twenty-three.
Step two,
we subtracted the smaller value from the larger value.
So, we have seventy-one minus twenty-three,
subtracting
we have forty-eight,
and the sign and the sum
is the original sign of the number
 with the larger absolute value.
so, because the positive seventy-one
has the larger absolute value,
the sum,
which equals a difference is positive forty-eight.
Which again we already knew,
this is how he would get forty-eight,
using the rules for adding integers.
And then finally,
lets showed this sum on the number line
So, the model seventy-one, we began at zero.
and, because we have seventy-one we move
right seventy-one units to positive seventy-one,
from here because we're adding native twenty-three,
which is the same as subtracting twenty-three.
do it moves left twenty-three units
from positive seventy-one.
So, if we go a left twenty-three units
to here,
it takes us back to,
positive forty-eight.
seventy-one plus negative twenty-three
or seventy-one minus twenty-three equals
positive forty-eight.
I hope you found this helpful.
