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IM: 6.7.4: Ordering Rational Numbers (Lesson)

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Last updated over 1 year ago
16 Nsɛmmisa
4.1: How Do They Compare?
4.3: Comparing Points on A Line

Refer to the labeled number line.

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1
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1
1

Use the symbols >, <, or = to compare each pair of numbers. Be prepared to explain your reasoning.

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9.

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

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10.

Tell what the value of each point would be if P is 2\frac{1}{2}.

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11.

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

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12.

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

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13.

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}

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14.

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

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15.

Expand the list you made to include fractions have have denominators of 6.

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16.

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?

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8.