integers include 12 0 and their opposites -5 -12 0 multiplication can be written using:
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The water in a swimming pool decreases two degrees every hour. How much has the water temperature changed after five hours?. In this lesson you will learn about multiplication with positive and negative integers by noticing patterns. Integers include 12 0 And their opposites - PowerPoint PPT PresentationTRANSCRIPT
The water in a swimming pool decreases two degrees every hour.
How much has the water temperature changed after five hours?
In this lesson you will learn about multiplication with
positive and negative integers by noticing patterns.
Let’s ReviewLet’s Review
Integers include5 12 0
And their opposites-5 -12 0
Multiplication can be written using:4 · 6 4 x 6 (4)(6)
Let’s ReviewA Common Mistake
The meaning of multiplication does not change, we just need to consider the types of numbers we are multiplying.
5 x -2 x -2 -6.5 x 3.4
Let’s ReviewCore Lesson
Let’s take a look at a multiplication pattern….5 x 4 = 20
5 x 3 = 155 x 2 = 105 x 1 = 55 x 0 = 05 x(-1)=-55 x(-2)=-10
Let’s ReviewCore Lesson
5 x 4 = 205 x 3 = 155 x 2 = 105 x 1 = 55 x 0 = 05 x(-1)= -55 x(-2)= -10
Let’s review the pattern…
Leads to negative product here.
One fewer and going down 5 each time…
Let’s ReviewCore Lesson
(-1) x (-2)= +2
Let’s continue the pattern….5 x(-2) = -104 x(-2) = -83 x(-2) = -62 x(-2) = -41 x (-2) = -20 x(-2) = 0
(-2) x (-2)=+4
Let’s ReviewCore LessonLet’s review the pattern….
5 x (-2) = -104 x (-2) = -83 x (-2) = -62 x (-2) = -41 x (-2) = -20 x (-2) = 0(-1) x(-2)= 2(-2) x(-2)= 4
Leads to positive product here.
One fewer and going up 2 each time…
Let’s ReviewA Common Mistake
(-1) x (-2) = -2
(-1) x (-2) = +2
Let’s ReviewCore LessonIf the temperature rises….5 x 2 = 10 degrees
If the temperature does not change5 x 0 = 0 degrees
If the temperature falls…..5 x -2 = -10 degrees
The water in a swimming pool decreases two degrees every hour. How much has
the water temperature changed after five hours?
5 x -2= -10 degrees
In this lesson you have learn about multiplication with
positive and negative integers by noticing patterns.
Let’s ReviewGuided Practice
Find the product:
(-4) x 3 =
(-4) x (-3) =
-12
+12
Let’s ReviewExtension Activities
Without solving determine if the answer is positive or negative:
34(-23) -34(-23) -34(-23)(-29)
Let’s ReviewExtension Activities
Find the product of:
(-23) x (-34)
Let’s ReviewQuick Quiz
Find the product:
(-4) x 6 =
(-4) x (-2) =