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Number Line 3 - Order, Graph, and Compare Integers

How does one graph and compare integers? How do we order them? This topic covers these concepts, along with the concept of opposite and absolute value.

Topic: Integers on Number Line

  • An integer is any number from the set {…, -4, -3, -2, -1, 0, 1, 2, 3, 4 …} where means continues without end

  • To graph an integer on the number line, do the following:
    1) Draw a number line
    2) Identify the location of the integer on the number line
    3) Draw a dot at the location that represents that integer

  • Integer on the right is always greater than the integer on the left on the number line

  • Integers that are on the right side of zero on the number line are called positive integers

  • Integers that are on the left side of zero on the number line are called negative integers

Topic: Opposite and Absolute Values

  • An integer is any number from the set {…, -4, -3, -2, -1, 0, 1, 2, 3, 4 …} where means continues without end

  • Additive Inverse or Opposite is a number which is at the same distance from zero as the original number on the number line but in the opposite direction.
    For example: - 2 and + 2 are at the same distance from zero that is 2.
    So, - 2 and + 2 are opposites or additive inverses

  • |n| is the symbol for absolute value of n, where n may be positive or negative

  • Absolute value is the distance of a number from zero on the number line.
    For example: Distance of -5 from zero is 5.
    So, |-5| = 5

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