McGraw Hill Glencoe Algebra 1, 2012
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McGraw Hill Glencoe Algebra 1, 2012 View details
2. Real Numbers
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Exercise 14 Page p10

To graph the fractions with 9 as denominator, draw a number line and divide the segments between each whole number into nine equal parts.

Graph:

Least to greatest:
{- 7/9, - 4/9, 1/9,1/2}

Let's start by rewriting the negative fractions, so that the negative sign is in the numerator. This will make it easier to understand how we can graph the negative numbers. {1/2, - 7/9, 1/9, - 4/9 } In three of the fractions, the denominator is 9. To graph these, we divide the segments between each whole number on a number line into nine equal spaces as shown below.

For each of the fractions, we move to the left from 0 when the numerator is negative and to the right when the numerator is positive. To graph -79 we move seven ninths (seven spaces on the number line) to the left of 0 as shown below. We can graph -49 and 19 in a similar fashion on the same number line.

The remaining fraction's denominator is 2, so we will now divide the number line into halves. Since the numerator is positive 1 we move 1 space to the right of 0.

Now we have graphed each number on the number line. The least number lies furthest to the left on the number line because it is the most negative. As we move to the right on the number line, the numbers become greater. By reading the marked positions we can order the numbers from least to greatest. {- 7/9, - 4/9, 1/9, 1/2}