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1 of 8
multiply rational numbers.
SOL: none
Objective
The student will be able to:
Designed by Skip Tyler, Varina High School and Nicole Kessinger Deep Run High School
Multiplying Rules
1) If the numbers have the same
signs then the product is positive.
(-7) • (-4) = 28
2) If the numbers have different
signs then the product is negative.
(-7) • 4 = -28
Examples
1) (3x)(-8y)
−20( )
4
5



2) Write both numbers as a fraction.
Cross-cancel if possible.
−
20
1




4
5




−
80
5
= -16
Multiplying fractions:
top # • top #
Bottom # • bottom#
-24xy
−
2
5




−
5
8




3)
10
40
=
1
4
=
Multiply: (-3)(4)(-2)(-3)
1. 72
2. -72
3. 36
4. -36
Answer Now
an easy way to determine the sign of the answer
3 negative signs -> Odd -> answer is negative
-480
When you have an odd number of negatives,
the answer is negative.
When you have an even number of negatives,
the answer is positive.
4) (-2)(-8)(3)(-10)
Do you have an even or odd number of
negative signs?
Last one!
5) −
1
2




−6( ) 5( )
−2
5




−2( )
Positive or negative answer?
Positive - even # of negative signs (4)
Write all numbers as fractions and multiply.
=12
−
1
2




−
6
1




5
1




−2
5




−
2
1




120
10
What is the sign of the product of
(-3)(-4)(-5)(0)(-1)(-6)(-91)?
1. Positive
2. Negative
3. Zero
4. Huh?
Answer Now

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4 1 multiplying rational numbers examples

  • 1. multiply rational numbers. SOL: none Objective The student will be able to: Designed by Skip Tyler, Varina High School and Nicole Kessinger Deep Run High School
  • 2. Multiplying Rules 1) If the numbers have the same signs then the product is positive. (-7) • (-4) = 28 2) If the numbers have different signs then the product is negative. (-7) • 4 = -28
  • 3. Examples 1) (3x)(-8y) −20( ) 4 5    2) Write both numbers as a fraction. Cross-cancel if possible. − 20 1     4 5     − 80 5 = -16 Multiplying fractions: top # • top # Bottom # • bottom# -24xy
  • 5. Multiply: (-3)(4)(-2)(-3) 1. 72 2. -72 3. 36 4. -36 Answer Now
  • 6. an easy way to determine the sign of the answer 3 negative signs -> Odd -> answer is negative -480 When you have an odd number of negatives, the answer is negative. When you have an even number of negatives, the answer is positive. 4) (-2)(-8)(3)(-10) Do you have an even or odd number of negative signs?
  • 7. Last one! 5) − 1 2     −6( ) 5( ) −2 5     −2( ) Positive or negative answer? Positive - even # of negative signs (4) Write all numbers as fractions and multiply. =12 − 1 2     − 6 1     5 1     −2 5     − 2 1     120 10
  • 8. What is the sign of the product of (-3)(-4)(-5)(0)(-1)(-6)(-91)? 1. Positive 2. Negative 3. Zero 4. Huh? Answer Now