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copyright©amberpasillas2010 Integer Addition Rules If the signs are the SAME Add the numbers. The sign stays the same. 4+3= 7 ++++ +++ -7 -4 + -3 = _______ copyright©amberpasillas2010 Integer Addition Rules If the signs are DIFFERENT Subtract the numbers. The “larger number” determines the sign of the answer. -9 + 5 = -4 _ _ _ _ _ _ _ _ _ Subtract the numbers 9 - 5 = 4 Answer -4 + + + + + because you started with more negatives copyright©amberpasillas2010 Subtract Integers 3-2 =1 + + + 1) Put in 3 2) Take away 2 3) You are left with 1 copyright©amberpasillas2010 Subtract Integers 3 - -2 = 5 + + + - - + + 1) Put in 3 2) You can’t take away –2 so add 2 zeros 3) Take away -2 4) You are left with +5 copyright©amberpasillas2010 Subtract Integers -3 - -2 = -1 _ _ _ 1) Put in -3 2) Take away -2 3) You are left with -1 copyright©amberpasillas2010 Subtract Integers -3 - 2 = -5 _ _ _ _ _ + + 1) Put in -3 2) You can’t take away 2 so add 2 zeros 3) Take away +2 4) You are left with -5 copyright©amberpasillas2010 Subtract Integers Keep the first number and add the opposite. 5 – 6 Is the same as 5 – 6 = -1 SUBTRACT = PLUS CHANGE! copyright©amberpasillas2010 Subtract Integers Keep the first number and add the opposite. 4 – (– 2) Is the same as 4 – (– 2) = 6 SUBTRACT = PLUS CHANGE! copyright©amberpasillas2010 Subtract Integers Keep the first number and add the opposite. -3 – 1 Is the same as -3 – ( 1) = -4 SUBTRACT = PLUS CHANGE! copyright©amberpasillas2010 Multiply Integers 2(3) = Add 2 groups of positive 3. +++ +++ =6 2(-3) = Add 2 groups of negative 3. ___ ___ copyright©amberpasillas2010 = -6 Multiply Integers -2(3) = Take away 2 groups of positive 3. +++ +++ = -6 ___ ___ -2(-3) = Take away 2 groups of negative 3. +++ +++ ___ ___ =6 copyright©amberpasillas2010 Divide Integers When determining the sign, the rules of multiplying integers are the same for dividing integers. If the signs are the same, the answer is positive. - 64 - 8 = 8 copyright©amberpasillas2010 Divide Integers When determining the sign, the rules of multiplying integers are the same for dividing integers. If the signs are different, the answer is negative. - 8 4 = -2 copyright©amberpasillas2010 Multiply & Divide Integers When good things, happen to good people, that’s good! + • + = + When bad things, happen to bad people, that’s good! – • – = + When good things, happen to bad people, that’s bad! + • – = – When bad things, happen to good people, that’s bad! –• + = – copyright©amberpasillas2010 Aren’t integers interesting? Take out your Study Guide! copyright©amberpasillas2010 #16 Keep the first integer and add the opposite! TRY THESE! 1) -3 - - 10 = 7 2) +6 - - 9 = 15 3) -4 - -7 = 3 4) 6 - 8 = -2 5) -3 - - 12 = 9 6) -7 - 12 = -19 7) 5 - -18 = 23 copyright©amberpasillas2010 # 17 -3 - 5 = -8 -15 + 6 = -9 -3 + 5 = +2 -15 - 6 = -21 +3 - 5 = -2 +15 + 6 = +21 +3 + 5 = +8 +15 - 6 = +9 2 3 6 10 2 -5 4 8 32 36 (9) +4 6(4) 24 27 (3) -9 copyright©amberpasillas2010