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Interpret absolute value

Absolute value represents a number’s distance from zero on a number line, so it is never negative; opposite numbers such as −5 and 5 have the same absolute value even though they lie in different directions. The concept supports interpreting signed quantities as direction or position and magnitude separately, including understanding an integer’s coordinate as its horizontal or vertical distance from an axis; treatment is limited to integers and familiar rational numbers, not absolute-value equations or functions.

Detailed Explanation: Interpret absolute value

Absolute value tells how far a number is from 00 on a number line. Distance is never negative, so an absolute value is always 00 or positive.

For example, find 5\vert -5 \vert.

  1. Locate 5-5 on a number line.
  2. Count the spaces from 5-5 to 00: there are 55 spaces.
  3. Since distance is positive, write:
5=5 \vert -5 \vert =5

The number 5-5 tells the direction—5 units to the left of 00. Its absolute value, 55, tells only the distance from 00. Similarly, 5=5 \vert 5 \vert =5 because 55 is also 5 units from 00.

Learn by doing: Interpret absolute value

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Number Types (Rational) - Order - Negative Fractions, Decimals, Repeating Decimals, Absolute Values, Exponents


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