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Multiplying and
Dividing Signed
Integers
 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
Positive * Positive
12 ÷ 3 = 4
16 ÷ 8 = 2
8 ÷ 8 = 1
 When we multiply or divide two negative integers, the
solution is also positive.
(-7) • (-6) = 42
(-2) • (-9) = 18
(-20) • (-1) = 20
Negative * Negative
(-12) ÷ (-3) = 4
(-16) ÷ (-8) = 2
(-8) ÷ (-8) = 1
 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
Positive * Negative
12 ÷ (-3) = - 4
(-16) ÷ 8 = -2
(-8) ÷ 8 = -1
Summary
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
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)
You Try It!
Solutions
= -30
= 12
= -14
= 6
= -10
= -10
1. (-10)•3
2. (-4)•(-3)
3. 7•(-2)
4. 5•(-2)
5. (-18)÷(-3)
6. (-20)÷2
Solutions
= -15x
= -7x
= 6y
= -50c
7. (3)(-5x)
8. (-2)(-3y)
9. (-1)(7x)
10. (10)(-5c)

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Mulitply-divide integers.ppt

  • 2.  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 Positive * Positive 12 ÷ 3 = 4 16 ÷ 8 = 2 8 ÷ 8 = 1
  • 3.  When we multiply or divide two negative integers, the solution is also positive. (-7) • (-6) = 42 (-2) • (-9) = 18 (-20) • (-1) = 20 Negative * Negative (-12) ÷ (-3) = 4 (-16) ÷ (-8) = 2 (-8) ÷ (-8) = 1
  • 4.  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 Positive * Negative 12 ÷ (-3) = - 4 (-16) ÷ 8 = -2 (-8) ÷ 8 = -1
  • 5. Summary 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
  • 6. 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) You Try It!
  • 7. Solutions = -30 = 12 = -14 = 6 = -10 = -10 1. (-10)•3 2. (-4)•(-3) 3. 7•(-2) 4. 5•(-2) 5. (-18)÷(-3) 6. (-20)÷2
  • 8. Solutions = -15x = -7x = 6y = -50c 7. (3)(-5x) 8. (-2)(-3y) 9. (-1)(7x) 10. (10)(-5c)