Understanding Integers Integers are the set of all whole numbers and their opposites. Integers can be expressed as positive numbers or negative numbers. Positive numbers are greater than 0 but usually are not written with a + before them. Negative numbers are less than 0 and are always written with a – before them.

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Integer Notes You can graph positive and negative numbers on a number line. On a number line, opposites are the same distance from 0 but on different sides of 0 -3 -2 -1 0 1 2 3 -3 and 3 are opposites

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Understanding Integers 0 is neither positive nor negative The absolute value of a number is its distance from 0 on a number line. The symbol for absolute value is | |. Absolute values are never negative Opposite integers have the same absolute value |-3| = |3|

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Understanding Integers Integers are used to express many different situations in everyday life. Some representations include - temperature, gains or losses of money and stocks, above or below sea level, elevations, and many more. A few examples include: a 15 yard gain in football = +15 a temperature of 10 below 0 = -10 100 ft below sea level = -100

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Integer Practice Name a positive or negative number to represent each situation. A gain of 10 points A loss of 15 yards Use the number line to find the absolute value of each integer. -3 -2 -1 0 1 2 3 3. |-2| 4. |1|

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Integer Practice Find the absolute value of each integer. |841| |-95| Identify the opposite of each integer. -19 20 -3 187

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