TeacherTwins2014 Warm Up Add or subtract 1 2 3 4 5 Explain how to change the following problem to an addition problem and solve 6 11 6 11 Leave change opposite 9 9 18 ID: 614602
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Slide1
Multiplying and Dividing Integers
TeacherTwins©2014Slide2
Warm Up
Add or subtract.
1).
2).
3).
4).
5). Explain how to change the following problem to an addition problem and solve.
6
11
-6
-11
Leave, change , opposite 9+ 9 = 18Slide3
Multiplication is repeated addition.
2(-4) = -8
2(4) = 4 + 4 = 8
2(-4) = -4 + -4 = -8
-2 ∙ 2 = -4
-2 ∙ 1 = -2
-2 ∙ 0 = 0
-2 ∙ (-1)= 2
-2 ∙ (-2) = 4
-4 2-2 0
2
4
-4
-4
Start at zero and add -4 two times
.
Look at the patterns below.
The problems above show that when you have signs that are different the product or quotient is negative.
The problems also show that when you have the same signs the product or quotient is positive.Slide4
Multiplying
Integers
Dividing Integers
Multiplying and Dividing Integers FlippableSlide5
Multiplying Integers
To multiply integers you multiply like normal and follow the following rule to figure out the sign of the product.
If the signs are
different
the
product will
be
negative.
If
the signs are the same the product will be positive.Examples:a). -4(-8) b). 7(-3)c). -5(2)
d). 3(10)32
-21
-10
30Slide6
Dividing Integers
To
divide
integers you
divide
like normal and follow the following rule to figure out the sign of the
quotient.
Examples
:
a). b). c). d).
-12
1
-25
14
If the signs are
different
the
quotient will
be
negative.
If the signs are
the same
the
quotient
will be
positive.Slide7
Closure
List 3 multiplication problems that have a product of -12. Use both positive and negative factors.