Question

Choose a value for point PP that is between −6 and −7.

a. What is the opposite of point PP?
b. Use the value from part (a), and describe its location on the number line in relation to zero.
c. Find the opposite of the opposite of point PP. Show your work, and explain your reasoning.

Answer 1

The point PP that is between −6 and −7 could be -6.5

a) The opposite of point PP is 6.5

b) The value of (a) is plotted as a red point in the attached picture.

c) The opposite of the opposite of the point PP is 6.5. It is plotted as a blue point.

Explanation:

By choosing the point PP as -6.5 which is between -6 and -7, the opposite number is at the same distance from zero. So point PP is 6.5 places to the left. Then the opposite of PP is 6.5 places to the right.

The plot shows this obtained number as a red point.

Then, opposite of 6.5 is -6.5.

In conclusion, the opposite of the opposite of point PP is the same point PP.