We are asked to find the differences, we have negative ten minus negative sixty-two.
To find this difference,
we'll write the difference as a sum
and then, find the sum the 
formal rules for adding integers,
as well as using the number line.
we can write this difference is a sum because,
subtracting an integers is same as adding the opposite.
Which means,
subtracting negative b
is the same as adding positive b,
and therefore subtracting negative sixty-two,
is the same as adding positive sixty-two.
So, we can write
negative ten minus negative sixty-two as negative ten
plus positive sixty-two.
And looking at this sum we should be able to recognize
that the positive sixty-two is
going to out way the negative ten,
and therefore the sum will be positive.
How about  the find this sum? we'll
used a formal rules for adding integers
shown here below,
and we'll also showed a sum on the number line.
Because of a negative plus a positive
will use the rules for adding 
to injuries with different signs.
So, step one,
we find the absolute value both integers.
So the absolute value of 
negative ten is equal to positive ten,
and the absolute value of 
sixty-two is equal to positive sixty-two.
Remember absolute
value is always positive.
Step two, we subtract the 
smaller value from the larger value.
So, we have sixty-two munis ten,
which equals fifty-two
and now the sign of the sum
is the original sign of the number with the larger absolute value.
So because, positive sixty-two 
has the large absolute value,
are sum is positive fifty-two.
Negative ten plus sixty-two equals positive fifty-two,
and so does negative ten munis negative sixty-two.
Let's also show this sum of the number line.
So, the model negative ten we start at zero,
and move left ten units to negative ten.
then from here we're adding positive sixty-two
and therefore we move
sixty-two units to the
right.
So, ten units to the right would bring us back two zero.
we need to go right another fifty-two units
which takes us to positive fifty-two.
Negative ten plus sixty-two equals positive fifty-two
and so does negative ten munis negative sixty-two.
I hope you found this helpful
