1. INTEGERS By: Mr. Imamura Math Period Current Date MA.7.1.3 – Describe and solve situations represented by integers and absolute values.

2. 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}

3. 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 3 + 4 = 7,-3 + -4 = -7 Different3 + (-4) = -1,-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

4. 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) = -186 ÷ (-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

5. 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 playCurrently at

6. 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 = change to below -$50 + (-$35) = -$85 dollars -$50 + (-$35) = -$85 dollars Week 1 Week 2 $ owed for both weeks Week 1 Week 2 $ owed for both weeks

7. CREDITS Image on Title Slide http://www.karlscalculus.org http://www.karlscalculus.org Definition http://freemathhelp.com/glossary/ glossary.php?word=Integer