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Working With Integers Review Working with Integers What are integers? – Integers are made up of three groups of numbers: The positive integers (+) The negative integers (-) zero Working with Integers When lives? do we use integers in our daily Multiplying and Dividing When you multiply or divide two positive values, the answer is always POSITIVE. (+)(+) = (+) When you multiply or divide two negative values, the answer is always Positive. (-)(-) = (-) Multiplying and Dividing When you multiply or divide a positive value and negative value, the answer is always NEGATIVE. (+)(-) = (-) Adding and Subtracting When adding two positives, the answer is always positive. When adding two negatives, the answer is always negative. (Just add the two numbers, and put a negative sign in front.) Adding and Subtracting Adding and Subtracting When adding a positive and a negative, the answer will be positive if the largest number is positive, or it will be negative if the largest number is negative. -23 + 13 = +/-?? 23 + -13 = +/-?? Adding and Subtracting When you are adding or subtracting a negative, you will have two signs beside each other. Circle them and decide whether that means you add or subtract. 4 + (-3) = ?? means 4 +/- 3 ??? 4 – (-3) = ?? means 4 +/- 3 ??? Don’t forget… When subtracting a negative, you change the two negatives to a positive sign!! 15 – (-5) = 15 + 5 = ?? A helpful hint… If you have difficulties with integers, think about the values as money (negative: owing and positive: receiving) Try these… Write an integer to represent each description. 1. 2. 3. 4. 5. 6. 7. The opposite of 267. One hundred seventeen feet above sea level. 12 degrees below zero. A pay cut of $6000. Withdraw $983 from an ATM machine. 12 units to the left of -2 on a number line. A gain of ten pounds. Answers 1. 2. 3. 4. 5. 6. 7. -267 117 -12 -6000 -983 -14 +10 Try These…Put the integers in order from least to greatest. -18, -47, 18, 11, -4, 16, -21, -44 Answer -47, -44, -21, -18, -4, 11, 16, 18 Try These… 1. 2. 3. 4. 5. 6. 7. 8. 9. (-6) + (-2) = (-12) / (-3) = (-6) – (-2) = -7 / 1 = 2 – (-2) = (-3)(-2) = (-4) + (-7) = (-6) – (-8) = (4)(-2) = Solutions! 1. 2. 3. 4. 5. 6. 7. 8. 9. (-6) + (-2) = -8 (-12) / (-3) = +4 (-6) – (-2) = -4 (-7) / (+1) = -7 (+2) – (-2) = +4 (-3)(-2) = +6 (-4) + (-7) = -11 (-6) – (-8) = +2 (4)(-2) = -8 Homework Complete the given worksheets for homework!