GED Mathematical Reasoning: Fractions and Decimals on the Number Line

Recall that all real numbers, including fractions and decimals, can be represented visually on a number line.

A number line is a line – made up of points – that stretches forever in both directions.

The number line helps us to see the relationship between numbers. Numbers to the right are greater than numbers to the left.

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If you were to zoom in on a portion of the number line, you would see the numbers between the integers – you would see fraction and decimals.

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Notice that the number three-fourths shows between the numbers 0 and 1, but is located closer to the 1 since the value of three-fourths is closer to the value of 1 than it is to the value of zero

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Also notice that the value of 1.25 is plotted halfway between 1 and 1.5 since the value of 1.25 is halfway between the values of 1 and 1.5.

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Suppose I ask you to plot the number 0.6 on the number line. Although the number 0.6 is not shown on the number line, we can approximate its location. Since 0.6 is between 0.5 and 0.75, we will plot the value 0.6 between the numbers 0.5 and 0.75 on the number line. And we will plot it slightly closer to 0.5 since the value 0.6 is closer to the value of 0.5 than it is to 0.75.

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