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IM: 6.7.4: Ordering Rational Numbers (Lesson)

By Newsela Staff
Last updated 6 days ago
16 Questions
4.1: How Do They Compare?
Use the symbols >, <, or = to compare each pair of numbers. Be prepared to explain your reasoning.
12 _______ 19
15 _______ 1.5
6.050 _______ 6.05
\frac{19}{24} _______ \frac{19}{21}
212 _______ 190
9.02 _______ 9.2
0.4 _______ \frac{9}{40}
\frac{16}{17} _______ \frac{11}{12}
4.3: Comparing Points on A Line
Refer to the labeled number line.

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 P is 2\frac{1}{2}.

Tell what the value of each point would be if N is -0.4.

Tell what the value of each point would be if R is 200.

Tell what the value of each point would be if M is -15.

The list of fractions between 0 and 1 with denominators between 1 and 3 looks like this:
\frac{0}{1}, \frac{1}{1}, \frac{1}{2}, \frac{1}{3}, \frac{1}{1}

We can put them in order like this:
\frac{0}{1} < \frac{1}{3} < \frac{1}{2} < \frac{2}{3} < \frac{3}{4} < \frac{1}{1}

Expand the list again to include fractions that have denominators of 5.

Expand the list you made to include fractions have 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?