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## Using the Number Line

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**Using the Number Line**Comparing Rational Numbers**Numbers right of 0 are positive.**Numbers left of 0 are negative. Creating a Number Line**A number line visually shows how numbers are organized from**least to greatest. Numbers get largertoward the right. Reading the Number Line Numbers get smaller toward the left.**Numbers get larger going up.**A number line visually shows how numbers are organized from least to greatest. Numbers get smaller going down. Reading the Number Line**Numbers describe their distance from zero.**3 is three spaces from 0 and -3 is three spaces from 0. 3 and -3 are opposites. Opposites**Every number has an opposite.**For every positive number, there is a negative number. *Zero is its own opposite! Opposites**When comparing numbers use the number line.**The number on the right is the bigger number. The number on the left is the smaller number. Ex: -3 is less than -1 -3 < -1 (-3 is on the left of -1 on the number line.) Using the Number Line -3 -1**Some students think the greatest number**is the number closest to zero. NOPE! Because that rule is not always true. -5 -2 0 10 -2 is closer to 0 than -5 and is greater than -5… but -2 is closer to 0 than 10 but is less than 10. Common Misconception with Comparing Numbers**What is the opposite of the following integers?**• 2,345 -2,345 • -16 16 • 0 0 • 8 -8 Using the number line, determine which integer is greater: • 2 -2 > • -5 -7 > • 0 3 < • 0 -8 > Practice**means turn Leftor turn Downon the number line.**means turn Right or Upon the number line. The signs of a number tell which way to go on the number line, like a GPS gives directions! Signs of Numbers - GPS