A and b, on a number line is expressed as |a-b|, where a and b are rational numbers. Think about locating a point
halfway between a and bon a number line. How can you find the coordinate for
such a point? Develop a formula in terms of a and b that you can use to find the
coordinate. Your formula must work for positive and negative values of a and b.
Does absolute value play a role in your formula? Why or why not? Under what
circumstances might your formula be used in the real world? Explain.
Discuss how you can find the coordinate of a point located other fractional
distances from a to b (or from b to a). For example, locate a point three-fourths of
the distance from a to b. What kind of calculation is involved