Envision Math 2.0: Grade 6, Volume 1
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2. Represent Rational Numbers on the Number Line
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Exercise 14 Page 74

Each marked unit on the number line represents 0.25.

-1.5< -1< -0.75< 2

Practice makes perfect

We are asked to order the given numbers from least to greatest. -1.5, -0.75, -1, 2 To do this, we will first add all the numbers to the given number line. Notice that each marked unit represents 0.25.

The first number we will write on the number line is -1.5. This will be placed 1 and one-half to the left of 0. We can also think about this as putting the circle two marked units to the left of -1 because each marked unit represents 0.25.

Next let's write -0.75. It is three marked units to the left of 0.

The next number is -1.

The last number to plot is 2. It is a positive number, so it is to the right of 0.

Finally, we can order the numbers from least to greatest. The least number is -1.5 because it is the farthest to the left. The greatest number is 2 because it is the farthest to the right. -1.5< -1< -0.75< 2