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1 Math Resources Integer Operations Tip Sheet Addition SAME SIGNS DIFFERENT SIGNS (of two numbers) (both numbers positive, or both numbers negative) (one number negative, one number positive) When ADDING two numbers When ADDING two numbers with the SAME SIGN: with DIFFERENT SIGNS: Answer takes the Answer takes the sign of common sign of the two the number with the numbers larger absolute value Just ADD the numbers Just SUBTRACT the numbers (or Add the numbers and Keep the sign!) (or Subtract the numbers and keep the sign of the -7 + (-18) = -25 larger number) -3 + 12 = +9 14 + (– 20) = -6 Subtraction (of two numbers) REWRITE as Addition When SUBTRACTING Integers, be sure to change the signs by: Writing the leftmost number, Changing the subtraction symbol to an addition symbol Writing the opposite of the rightmost number Apply the Addition Rules to solve! Or (Apply the Keep Change Change or Copy Change Change Rule) Examples -17 – 24 = -17 + (-24) = -41 Keep Change Change -6 – (-4) = - 6 + (+4) = -2 * Note: Positive Numbers are rarely written with (+) signs, they are written here to emphasize that the number is positive. 2 Math Resources SAME SIGN Multiplication & When you Multiply (or Divide) two numbers with Division the same sign the answer is POSITIVE! (of two numbers) 9 5 45 7 2 14 81 27 3 24 8 3 DIFFERENT SIGN When you Multiply (or Divide) two numbers with different signs the answer is NEGATIVE! 8 2 16 (5)(3) 15 36 3 12 72 9 8 Try these rules without a calculator – Become a Human Calculator!