IM: 6.7.4: Ordering Rational Numbers (Lesson)
By Formative Staff
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Last updated 7 months 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
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 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 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 R is 200.
Tell what the value of each point would be if M is -15.
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 again to include fractions that have denominators of 5.
Expand the list you made to include fractions have have denominators of 6.
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?
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?