Adding Integers The sum of two positive integers is always positive 5 49 The sum of two negative integers is always negative 5 3 8 The sum of a positive integer and a negative integer is sometimes positive sometimes negative and sometimes zero ID: 679299
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Slide1
Unit 1 Rational Numbers
IntegersSlide2
Adding Integers
The sum of two positive integers is always positive. 5+4=9.
The sum of two negative integers is always negative. -5 +(-3)= -8.
The sum of a positive integer and a negative integer is sometimes positive, sometimes negative and sometimes zero.
5 + (-1)=4 -5 +1=-4 -5 +5=0Slide3
Positive+ Negative
4+ (-2)=
7+ (-8)=
5 + (-5)=
9+ (-13)=Slide4
Negative + Positive
(-9) + 5=
(-4) + 7=
(-6) + 5=
(-3) + 10=Slide5
Negative + Negative
(-4) + (-4)=
(-7) + (-2)=
(-1) + (-6)=
(-8) + (-5)=Slide6
Subtracting Integers
To subtract an integer, add its opposite.
4-9=4 + (-9)=-5
Or Keep, Change, Change
-5 – (+7)
Keep the 5, change the – to + and the + to - -5 + (-7)=-12
11- (-3)= 11 + 3=14Slide7
Positive – Positive
4 – 8=
5 – 6=
7 – 9=
3 – 12= Slide8
Positive - Negative
4 – (-5)=
8 – (-1)=
12 – (-7)=
3 – (-9)= Slide9
Negative - Positive
(-9) - 5=
(-4) - 7=
(-6) - 5=
(-3) - 10=Slide10
Negative - Negative
(-2) -
(-4)=
(-7)
- (-5)=
(-5) -
(-6)=
(-8
)
- (-10)=Slide11
Multiplying Integers
The product of two integers with the same sign is positive.
5X5=25 -5X-5=25
The product of two integers with different signs is negative.
-5X4=-20 5X-4=-20Slide12
Negative x Negative
-4 x -7
-4(-3)
-14(-6)
-8 x -9
What pattern do you see?Slide13
Negative x Positive
-4 x 8
-12(6)
15(-3)
9 x -7
What pattern do you see?Slide14
Dividing Integers
The quotient of two integers with the same sign is positive.
25
÷
5=5 -25
÷
-5=5
The quotient of two integers with different signs is negative.
-25
÷
5=-5 -20
÷
5=-4Slide15
Negative ÷ Negative
-48 ÷ -12
-108 ÷ -3
-64 ÷ -4
-72 ÷ -6
What pattern do you see?Slide16
Negative ÷ Positive
Positive ÷ Negative
-144 ÷ 4
84 ÷ -6
45 ÷ -3
-168
÷ 8
What pattern do you see?Slide17
Summary
Multiplying
and Dividing Integers-
If the signs are the same, the answer is positive.
If the signs are different, the answer is negative.Slide18
Warm Up
-4 +8=
5+ -2=
(-3) – 6=
5 – (-5)=Slide19
Practice Problems:
(-8) × 4
=_______ 9
× (-6)
=_______
(-1) × (-10) =_______
16 ÷ (-4) = _______
20
÷ (-2) =
_______
-
35 ÷(- 5) = _______
Slide20Slide21Slide22
Exit Ticket
4(-12)
64 ÷ -8
-56 ÷ -7
(-5)(-9)