IM 6.7.4 Lesson: Ordering Rational Numbers
Use the symbols >, <, or = to compare each pair of numbers. Be prepared to explain your reasoning.
Order them from least to greatest.
Use each of the following terms at least once to describe or compare the values of points M, N, P, R.
greater than
less than
opposite of (or opposites)
negative number
Tell what the value of each point would be if:
is
is -0.4
is 200
is -15
The list of fractions between 0 and 1 with denominators between 1 and 3 looks like this:
We can put them in order like this: Now let’s expand the list to include fractions with denominators of 4. We won’t include , because is already on the list. Expand the list again to include fractions that have denominators of 5.
Expand the list you made to include fractions that have denominators of 6.
When you add a new fraction to the list, you put it in between two “neighbors.” Go back and look at your work. Do you see a relationship between a new fraction and its two neighbors?