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Page 114 - 120 When we subtract rational numbers we are finding the difference between those two number on a number line. For example 4 6 we need to look at how far we go from -6 to get to 4. Because we move to the right on the number line the distance is positive! We can use this strategy: We can Add the opposite of the decimal! -2.3 – (-3.9) = -2.3 – (-3.9) = = -2.3 + (+3.9) = -2.3 + 3.9 = 1.6 1 2 11 3 Similar steps to adding fractions. Find the lowest common denominator. Change both fractions to equivalent fractions. 1 X3 2 X3 11 X 2 3 X2 3 6 1 3 6 22 6 Add the numerators. 3 22 6 19 6 Strategy – change the Mixed Number to an IMPROPER fraction and follow from there. 5 1 3 4 5 Page 119-121 #4, 5 all, 7bdf, 9f, 10, 11, 13cd, 15abc The following slides are not a part of the current notes for Section 3.3 Strategy ONE- is to place the number being subtracted on a number line and follow from there 5 1 3 4 5 Strategy TWO – is to change the Mixed Number to an IMPROPER fraction and follow from there. 5 1 3 4 5 It is important to remember that when we are subtracting rational numbers to use equivalent fractions. These are numbers that have the same number of pieces. Think ½ and 1/8 - in order to make them equivalent they both must be out of 8ths is 1/2 is the same as 4/8 so: And 4 1 3 8 8 8 Math Makes Sense – SEE IT ( link page 115)