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# 7th Grade Math / Lesson 1: Absolute Values

 ABSOLUTE VALUE What will we be learning in this lesson? This lesson will learn about absolute values. Vocabulary words are found in this purple color throughout the lesson. Remember to put these in your notebook.

 ABSOLUTE VALUE The absolute value of a number is the distance from zero. The symbol ll represents absolute value.Examples: l6l The absolute value of 6 is asking - How far is 6 from zero?    l6l = 6 it is 6 places from zero on a number linel-3.5l The absolute value of -3.5 is asking - How far is -3.5 from zero?    l-3.5l = 3.5 it is 3.5 places from zero on a number line Since absolute value is the distance that a number is from zero, it must always be a positive answer because distances can not be negative.

 ABSOLUTE VALUE Find the absolute values of the following. l13ll-6ll3.5ll-1.5ll1.5l

 ABSOLUTE VALUE Find the absolute values of the following. l13l=13l-6l= 6 l3.5l= 3.5 l-15l=15 l1.5l=1.5

 ABSOLUTE VALUE What about the absolute value of an unknown?       lxl = 4 This says that the absolute value of some number is 4. In other words, the distance from zero is 4. What number, or numbers, are 4 spots from zero? Since there is no indication as to which direction from zero, this actually has two answers. 4 and -4 are both 4 spots from zero. One to the right and one to the left. So in this case, we say that x = 4 and -4

 ABSOLUTE VALUE Find the appropriate x-values for the following. lxl=13lxl= 6 lxl= 3.5lxl= 15 lxl= 1.5

 ABSOLUTE VALUE Find the appropriate x-values for the following. lxl=13      x = 13 or -13 lxl= 6       x = 6 or -6 lxl= 3.5    x = 3.5 or -3.5lxl= 15     x = 15 or -15 lxl= 1.5    x = 1.5 or -1.5