How is locating a rational number on a number line similar to locating an integer?

Answer 1

From the surface a diver descends to a depth of 32 and 5/6 feet. Then the diver rises 32 and 5/6 feet. Draw a number line to show the situation. where is the diver when she rises to the surface? Explain.

Answer 2

A rational number can be expressed as a fraction, with the numerator and denominator are integers. Since the denominator is an integer, the space between two integers can be divided into equal parts and marked off. For example if the number is 2/3, then you divide between 0 and 1 to 3 equal sections. The first mark after 0 is 1/3, and the second mark is 2/3, so you can locate 2/3 that way. As long as it's rational you can do it: 11/47, 3/32, whatever it is, you can make the equal portions and then just count up to the one you want.