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What is a rational number? › A number that can be written as a fraction (form A/B). Ex. a) 7 b) 0.168 c) √9 Irrational number? › A number that can not be written as a fraction (form m/n, where n≠0). Ex. a) √2 b) ∏ c) 9 Ex1. -6 – 3 - + 0 Ex2. (-2) + 5 - + 0 Ex3. (+7) + (-4) = = 7 - 4 3 - + 0 Adding a negative subtraction 3 + (-7) 3 - 7 › “The negative wins out” Subtracting a negative addition 5 - (-3) 5 + 3 *Skills assessment Wednesday a) -6 + 8 =2 d) (-2) + (-4) = -2 – 4 = -6 b) 3 + (-4) =3–4 = -1 e) (+9) – (-8) =9+8 = 17 c) (-1) + (-1) = -1 – 1 = -2 f) (-5) – (-5) = -5 + 5 = 0 Complete Lesson #1 a) (-3) + (-7) b) (+6) – (-9) c) (-6) – (-5)+ (-7) The top of Currie Mountain is 156m above the St. John River. Mr. Glenwright’s house in Devon is 14m below the St. John River. What is the difference in altitude between the top of Currie Mountain and Mr. Glenwright’s house. The top of Currie Mountain is 156m above the St. John River. Mr. Glenwright’s house in Devon is 14m below the St. John River. What is the difference in altitude between the top of Currie Mountain and Mr. Glenwright’s house. Ex. Does the order of the integers affect the answer? If so, how? a) (+14)- (-12) and (-12) – (+14) b) (-11)+(-9) and (-9)+(-11) Ex2. Evaluate when x = -2, y = +4, and z = -7 a) x–y–z b) x + y + z c) y – z - x A positive multiplied by a positive equals a positive. Ex. 3 x 4 = 12 A positive multiplied by a negative equals a negative. Ex. 4 x (-3) = -12 › “The negative wins out”. A negative multiplied by a negative equals a positive. Ex. (-4) x (-3) = 12 › “Two negatives make a positive”. A new notation: 4x3 can be written as (4)(3) 4x-3 can be written as (4)(-3) Imagine a “x” symbol in between the brackets. a) -6 x 8 = -48 d) (-2) + (-4) = -2 – 4 = -6 b) 3 (-4) =3–4 = -1 e) (+9) – (-8) =9+8 = 17 c) (-1) + (-1) = -1 – 1 = -2 f) (-5) – (-5) = -5 + 5 = 0