IM: 6.7.4: Ordering Rational Numbers (Lesson)

Last updated about 1 year ago

16 questions

4.1: How Do They Compare?

4.3: Comparing Points on A Line

IM: 6.7.4: Ordering Rational Numbers (Lesson)

Last updated about 1 year 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

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}

IM: 6.7.4: Ordering Rational Numbers (Lesson)

IM: 6.7.4: Ordering Rational Numbers (Lesson)

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.

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.

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.

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?

IM: 6.7.4: Ordering Rational Numbers (Lesson)

IM: 6.7.4: Ordering Rational Numbers (Lesson)

Use each of the following terms at least once to describe or compare the values of points M, N, P, R.greater thanless thanopposite 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.

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.

Use each of the following terms at least once to describe or compare the values of points M, N, P, R.greater thanless thanopposite 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.

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?

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