### Video Transcript

The given figure represents the
number line of integers. Find the length of segment 𝐷𝐶
plus the length of segment 𝐹𝐵 considering that a length unit is one
centimeter.

In order to find the length of
segment 𝐷𝐶, we simply write 𝐷𝐶. We do not put the line segment
above it. This represents the length. And in an order to find the length
of a segment, we take the absolute value of the difference between the values of the
starting point and the ending point.

So we start at 𝐷, which is
negative three, and then we’re going to 𝐶, which is at negative two. And we’re supposed to find the
difference between these. So we have the absolute value of
three minus negative two.

Now if we subtract a negative, it
will turn into a plus sign. So negative three plus two is equal
to negative one. And the absolute value of any
number makes it positive. So the absolute value of negative
one is positive one, so the length of 𝐷𝐶 must be one centimeter.

Now let’s find the length of line
segment 𝐹𝐵. So to find this length, we take the
absolute value. We’re beginning at 𝐹, which is at
negative one, and ending at 𝐵, which is positive one. And we find the difference between
these. So negative one minus one is
negative two, and the absolute value of negative two is positive two. So the length of segment 𝐹𝐵 is
two centimeters.

And we are to find the sum of these
lengths. So we have one centimeter plus two
centimeters, which is equal to three centimeters. And this will be our final
answer.