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5.1 Multiplying_Dividing Integers.notebook
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Supplies:• Pencil• Interim Paper• Homework: pages 244-245• Turn in 4.1-4.4 Review Packet• Binder• Notebook
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Adding 2 POSITIVE numbers: • Always positive
Adding 2 NEGATIVE numbers: • Always negative
Adding a NEGATIVE & POSITIVE number:• Subtract & it is the sign of the number
who has the greatest distance from zero.
2 + 5 = 7
-2 + (-5) = -7
2 + (-5) = -37 + (-5) = 2
Subtracting 2 numbers: • Keep the first number.
> Keep Change Change• Refer to Adding Integers Rules
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Essential Question:
5.1 Multiplying & Dividing Integers
Examples: Notes:
How are the integer division & multiplication algorithms similar?
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Subtracting 2 numbers: • Keep the first number.• Additive Inverse
> Keep Change Change> Keep, Change to Addition, Change the
sign of 2nd number• Subtract• Sign of the number that has the greatest
distance from zero
5 - 3 = 2
3 - 5 = 3 - 5 = 2
5 - (-3) = 5 - (-3) = 8
-5 - 3 = -5 - -3 = -8
-5 - (-3) =-5 - (+3) = -2
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Essential Question:
5.1 Multiplying & Dividing Integers
Examples: Notes:
How are the integer division & multiplication algorithms similar?
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/ /
Essential Question:
5.1 Multiplying & Dividing Integers
Examples: Notes:
How are the integer division & multiplication algorithms similar?
#
Multiplication: • Repeated Addition• Groups of
3 x -2 = -6
-2 + -2 + -2 = -6
3 groups of -2
-2-2-2
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#
Absolute Value:• Find OVERALL distance by finding the
difference between 2 points on number line.> Distance from zero
• Perform operation inside bars> Answer CANNOT be negative
|80-60|= ____
|60-80|= ____
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Essential Question:
5.1 Multiplying & Dividing Integers
Examples: Notes:
How are the integer division & multiplication algorithms similar?
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Integer:• A number with no fractional part.
Rational Numbers• A number that can be made by dividing 2
integers.• Must be in fraction form.
4 8
½ = 1 ÷ 2
0.75 = ¾
1
2 =
2.12 =
6.6 =
=
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Essential Question:
5.1 Multiplying & Dividing Integers
Examples: Notes:
How are the integer division & multiplication algorithms similar?
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5.1 Multiplying & Dividing Integers
10//17 #
Examples: Notes:Fact Family• 3 numbers that are related by
multiplication & division.
4, -5, -204 x -5 = -20-5 x 4 = -20-20 ÷ -5 = 4-20 ÷ 4 = -5
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5.1 Multiplying & Dividing Integers
10//17 #
Examples: Notes:Multiplying Integer Rules:• Positive x Positive = Positive• Negative x Negative = Positive• Negative x Positive = Negative• Positive x Negative = Negative
4 x 6 = 24-4 x -6 = 24-4 x 6 = -24
24 ÷ 4 = 6-24 ÷ -4 = 6-24 ÷ 6 = -4
Dividing Integer Rules:• Positive ÷ Positive = Positive• Negative ÷ Negative = Positive• Negative ÷ Positive = Negative• Positive ÷ Negative = NegativeMultiplying & Dividing Integers• Odd number of negative signs =
NEGATIVE• Even number of negative signs =
POSITIVE
