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Signed Integers Multiplication and Division Rules

Learn the rules for multiplying and dividing signed integers, including positive by positive, negative by negative, and positive by negative integer operations.

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Signed Integers Multiplication and Division Rules

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  1. Multiplying and Dividing Signed Integers

  2. Positive * Positive • When we multiply or divide two integers, the sign rules are different than when we add or subtract signed numbers. • When we multiply or divide two positive integers, the solution is positive. 7 • 6 = 42 2 • 9 = 18 20 • 1 = 20 12 ÷ 3 = 4 16 ÷ 8 = 2 8 ÷ 8 = 1

  3. Negative * Negative • When we multiply or divide two negative integers, the solution is also positive. (-7) • (-6) = 42 (-2) • (-9) = 18 (-20) • (-1) = 20 (-12) ÷ (-3) = 4 (-16) ÷ (-8) = 2 (-8) ÷ (-8) = 1

  4. Positive * Negative • When we multiply or divide one positive & one negative integer, the solution is always negative, regardless of which is larger or which is written first. (-7) • 6 = - 42 2 • (-9) = -18 20 • (-1) = -20 12 ÷ (-3) = - 4 (-16) ÷ 8 = -2 (-8) ÷ 8 = -1

  5. Adding Integers: Positive + Positive = Positive Negative + Negative = Negative Positive + Negative = Sign of Larger # Subtracting Integers: Keep - Change - Change Multiplying/Dividing Integers: Positive + Positive = Positive Negative + Negative = Positive Positive + Negative = Negative Summary

  6. You Try It! Multiply or divide. 1. (-10)•3 2. (-4)•(-3) 3. 7•(-2) 4. 5•(-2) 5. (-18)÷(-3) 6. (-20)÷2 Simplify each expression. 7. (3)(-5x) 8. (-2)(-3y) 9. (-1)(7x) 10. (10)(-5c)

  7. Solutions 1. (-10)•3 2. (-4)•(-3) 3. 7•(-2) 4. 5•(-2) 5. (-18)÷(-3) 6. (-20)÷2 = -30 = 12 = -14 = -10 = 6 = -10

  8. Solutions 7. (3)(-5x) 8. (-2)(-3y) 9. (-1)(7x) 10. (10)(-5c) = -15x = 6y = -7x = -50c

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