We're asked to add negative sixty and negative thirty-two, or find the sum of negative sixty and
negative thirty-two. We'll first find this sum using the formal rules for adding integers, and
then we'll show this sum on the
number line. So because we're adding two
negative integers, we use the rules for adding two integers of the same sign.
Step one, we add the absolute values of the integers and then step two, the sign
of the original sum is the common sign. So because we're adding two negative
integers the sum is going to be negative. Let's first find the absolute value of
negative sixty and the absolute value of negative thirty-two. The absolute value of a numbers is the
numbers distance from zero. The distance is always positive and therefore, the
absolute value of negative sixty is positive sixty. The absolute value of
negative thirty-two is positive thirty-two. Now we sum, or add the absolute values, which gives us ninety-two. But
the sign of the original sum is the common sign, which in this case is negative, and
therefore the sum is not positive ninety-two, it's negative ninety-two. Now let's also model
this sum on the number line. So to model negative sixty we'd start at zero, and
move left sixty units to negative sixty.
Now from here, because we're adding a negative thirty-two, we're going to go left
thirty-two more units,
which gives us a sum of negative ninety-two.
Negative sixty plus negative thirty-two equals negative ninety-two.
I hope you found this helpful.
