INTEGERSINTEGERS
By: Andrea Bonde & Slideshare.net
Lets Take
Some Notes
• An integer is a positive or
negative whole number,
including 0.
…-3, -2, -1, 0, 1, 2, 3…
Whole Number: Any number over 1.
Rules for
Multiplying Integers (x)
• The product of two integers with the
same signs is POSITIVE.
• The product of two integers with
different signs is NEGATIVE.
Rules Summary for
Multiplication
• Positive x Positive = Positive
• Negative x Negative = Positive
• Positive x Negative= Negative
• Negative x Positive = Negative
Let’s Practice “Multiplication”
1) 7 x (-3) =
2) 4 x 3 =
3) -5 x 5 =
4) -7 x (-2) =
5) -8 x (-8) =
-21
12
-25
14
64
Remember:
Positive x Positive = Positive
Negative x Negative = Positive
Positive x Negative= Negative
Negative x Positive = Negative
Let’s Practice “Multiplication”
1) 6 x (-4) =
2) 3 x 2 =
3) -4 x 4 =
4) -6 x (-1) =
5) -7 x (-7) =
-20
6
-16
6
49
Remember:
Positive x Positive = Positive
Negative x Negative = Positive
Positive x Negative= Negative
Negative x Positive = Negative
Did you know that
the rules for
multiplication and
division are the
same?
Guess what….
They are!
The rules for division are exactly
the same as those for multiplication.
If we were to take the rules for
multiplication and change the
multiplication signs to division signs,
we would have an accurate set of
rules for division.
Rules for
Dividing Integers (÷)
• The quotient of two integers with
the same signs is POSITIVE.
• The quotient of two integers with
different signs is NEGATIVE.
Rules Summary for
Division
• Positive ÷ Positive = Positive
• Negative ÷ Negative = Positive
• Positive ÷ Negative= Negative
• Negative ÷ Positive = Negative
Let’s Practice “Division”
1) 16 ÷ (-2) =
2) -42 ÷ (-6) =
3) -18 ÷ 9 =
4) 40 ÷ 8 =
5) 20 ÷ (-5) =
-8
7
-2
5
-4
Remember:
Positive ÷ Positive = Positive
Negative ÷ Negative = Positive
Positive ÷ Negative= Negative
Negative ÷ Positive = Negative
Let’s Practice “Division”
1) 18 ÷ (-9) =
2) -48 ÷ (-8) =
3) -27 ÷ 3 =
4) 64 ÷ 2 =
5) 30 ÷ (-6) =
-2
8
-9
32
-5
Remember:
Positive ÷ Positive = Positive
Negative ÷ Negative = Positive
Positive ÷ Negative= Negative
Negative ÷ Positive = Negative
Let’s Review…
What is an integer?
ANSWER
• An integer is a positive or
negative whole number,
including 0.
Can you give an example
of an integer?
ANSWER
• …-3, -2, -1, 0, 1, 2, 3…
When signs are the
same you?
ANSWER
• Add the numbers
• Answer gets sign of the larger number.
When signs are
different?
ANSWER
• You subtract the numbers
• Answer gets sign of the larger number.
How do you multiply
integers?
ANSWER
• If the signs are the same, your answer
is always positive.
• If the signs are different, your answer
is always negative.
How do you divide
integers?
ANSWER
• If the signs are the same, your answer is
always positive.
• If the signs are different, your answer is
always negative.
*Multiplication and Division Rules are the
same!
Integer practice (multiply and divide) ppt

Integer practice (multiply and divide) ppt

  • 1.
  • 2.
  • 3.
    • An integeris a positive or negative whole number, including 0. …-3, -2, -1, 0, 1, 2, 3… Whole Number: Any number over 1.
  • 4.
    Rules for Multiplying Integers(x) • The product of two integers with the same signs is POSITIVE. • The product of two integers with different signs is NEGATIVE.
  • 5.
    Rules Summary for Multiplication •Positive x Positive = Positive • Negative x Negative = Positive • Positive x Negative= Negative • Negative x Positive = Negative
  • 6.
    Let’s Practice “Multiplication” 1)7 x (-3) = 2) 4 x 3 = 3) -5 x 5 = 4) -7 x (-2) = 5) -8 x (-8) = -21 12 -25 14 64 Remember: Positive x Positive = Positive Negative x Negative = Positive Positive x Negative= Negative Negative x Positive = Negative
  • 7.
    Let’s Practice “Multiplication” 1)6 x (-4) = 2) 3 x 2 = 3) -4 x 4 = 4) -6 x (-1) = 5) -7 x (-7) = -20 6 -16 6 49 Remember: Positive x Positive = Positive Negative x Negative = Positive Positive x Negative= Negative Negative x Positive = Negative
  • 8.
    Did you knowthat the rules for multiplication and division are the same?
  • 9.
  • 10.
    The rules fordivision are exactly the same as those for multiplication. If we were to take the rules for multiplication and change the multiplication signs to division signs, we would have an accurate set of rules for division.
  • 11.
    Rules for Dividing Integers(÷) • The quotient of two integers with the same signs is POSITIVE. • The quotient of two integers with different signs is NEGATIVE.
  • 12.
    Rules Summary for Division •Positive ÷ Positive = Positive • Negative ÷ Negative = Positive • Positive ÷ Negative= Negative • Negative ÷ Positive = Negative
  • 13.
    Let’s Practice “Division” 1)16 ÷ (-2) = 2) -42 ÷ (-6) = 3) -18 ÷ 9 = 4) 40 ÷ 8 = 5) 20 ÷ (-5) = -8 7 -2 5 -4 Remember: Positive ÷ Positive = Positive Negative ÷ Negative = Positive Positive ÷ Negative= Negative Negative ÷ Positive = Negative
  • 14.
    Let’s Practice “Division” 1)18 ÷ (-9) = 2) -48 ÷ (-8) = 3) -27 ÷ 3 = 4) 64 ÷ 2 = 5) 30 ÷ (-6) = -2 8 -9 32 -5 Remember: Positive ÷ Positive = Positive Negative ÷ Negative = Positive Positive ÷ Negative= Negative Negative ÷ Positive = Negative
  • 15.
  • 16.
    What is aninteger?
  • 17.
    ANSWER • An integeris a positive or negative whole number, including 0.
  • 18.
    Can you givean example of an integer?
  • 19.
    ANSWER • …-3, -2,-1, 0, 1, 2, 3…
  • 20.
    When signs arethe same you?
  • 21.
    ANSWER • Add thenumbers • Answer gets sign of the larger number.
  • 22.
  • 23.
    ANSWER • You subtractthe numbers • Answer gets sign of the larger number.
  • 24.
    How do youmultiply integers?
  • 25.
    ANSWER • If thesigns are the same, your answer is always positive. • If the signs are different, your answer is always negative.
  • 26.
    How do youdivide integers?
  • 27.
    ANSWER • If thesigns are the same, your answer is always positive. • If the signs are different, your answer is always negative. *Multiplication and Division Rules are the same!