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INTEGERS MA.7.1.3 – Describe and solve situations represented by integers and absolute values. By: Mr. Imamura Math Period Current Date DEFINITION INTEGER A number in the set of positive and negative whole numbers as well as zero {-2, -1, 0, 1, 2} POSITIVE NUMBER (natural number) Any integer greater than zero {1, 2, 3, 4} NEGATIVE NUMBER Any integer less than zero {-4, -3, -2, -1} GENERAL RULES Addition – If similar signs, add and use the same sign. – If different signs, find the difference of the two values and use the sign of the larger value. Similar Different 3 + 4 = 7, 3 + (-4) = -1, -3 + -4 = -7 -3 + 4 = +1 Subtraction – Add the opposite of the second number. – Then follow the rules of addition above. 3 – 4 = change it to 3 + (-4) = -1 3 – (-4) = change it to 3 + (+4) = +7 GENERAL RULES (continued) Multiplication and Division Table below applies to both operations. Positive (x or ÷) Positive = Positive 6 x 3 = 18, 6÷3=2 Positive (x or ÷) Negative = Negative 6 x (-3) = -18 6 ÷ (-3) = -2 Negative (x or ÷) Positive = Negative -6 x 3 = -18 -6 ÷ 3 = -2 Negative (x or ÷) Negative = Positive - 6 x (-3) = 18 -6 ÷ -3 = 2 QUESTION #1 UH started a play on their own 35 yard line but were pushed back 5 yards. On what yard line are they now? 35 + (-5) = 30 yard line Started from Lost on play Currently at QUESTION #2 #2. Last week John had $0 when he borrowed $50 from his parents. This week John borrowed an additional $35. Right now how much money does John have? -$50 - $35 = change to below -$50 + (-$35) = -$85 dollars Week 1 Week 2 $ owed for both weeks CREDITS Image on Title Slide http://www.karlscalculus.org Definition http://freemathhelp.com/glossary/ glossary.php?word=Integer