bell work
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132 99 62 160. Bell Work. 1. 62 + 132 + (–62) 22 + 49 + 28 3. 4. 5. 4 × 8 × 5. The Distributive Property. The Distributive Property. The product of a and ( b+c ): a( b+c ) = ab + ac ex: 5(x + 2) = 5(x) + 5(2) 5x + 10. The product of a and (b-c): a(b-c) = ab – ac - PowerPoint PPT PresentationTRANSCRIPT
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Bell Work1. 62 + 132 + (–62)2. 22 + 49 + 283.
4.
5. 4 × 8 × 5
8
5
11
7
8
3
3623
1
132
99
62
160
11
71
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THE DISTRIBUTIVE PROPERTY
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The Distributive PropertyThe product of a and
(b+c):
a(b+c) = ab + ac
ex: 5(x + 2) = 5(x) + 5(2)
5x + 10
The product of a and (b-c):
a(b-c) = ab – ac
ex: 4(x –7)= 4(x) – 4(7)
4x –28
Sharing what is Outside the parentheses with EVERYTHING
INSIDE the parentheses.
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Find the total area of the rectangles.Area = length x width
6 ft
20 ft + 4 ft
6 ft
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Find the area of the rectangle.Area = length x width
6 ft
20 ft + 4 ft
6 ft
Find the area of each rectangle.
120 sq ft 24 sq ft
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Find the area of the rectangle.Area = length x width
6 ft
24 ft
Now put the two rectangles back together.
120 sq ft + 24 sq ft
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Find the area of the rectangle.Area = length x width
6 ft
24 ft
144 sq ft
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A Visual Example of the Distributive property
Find the area of this rectangle.
We could say that this is 4(x + 2)
x +2
Or..
x 2
4
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x 2
44
)2(44 x 84 x
So we can say that
4(x+2) = 4x+8
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Example using the distributive property
)5(2 x )(2 x )5(2
102 x
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Another Example
)4(2 x )(2 x
82 x
)4(2
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)4(3 x )(3 x
123 x
Another Example
)4)(3(
)12(3 xOr
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)5(4 y )(4 y
204 y
Another Example
)5)(4(
)20(4 yOr
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A swimming pool has a shallow end and a deep end. Find the surface area of the pool.
shallow waterDeep
water8 yds
5 yds 10 yds
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80 408 yds
5 yds 10 yds
40 + 80 = 120 square yards
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Write an expression that shows two ways on how to find the area of the rectangle.
(use the distributive property)
9 yds
5 yds 20 yds
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(9 x 5) + (9 x 20) = area0r
9(5+20)=area
9 yds
5 yds 20 yds
(9 x 5) (9 x 20)
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1) Which of the following expressions shows the distributive property for
5(3 + 7)?
(5 x 3) + (5 x 7)
(5 x 3) x (5 x 7)
(5 + 3) x (5 + 7)
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Which of the following expressions shows the distributive property for
3(9 + 4) ?
(3 x 9) + (3 x 4)
(3 + 9) + (3 + 4)
(3 + 9) x (3 + 4)
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Which of the following expressions is equivalent to:2( 3) + 2( 3)
2 (3 + 3)
2 + 2 + 3 + 3
3(2 + 3)
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Which of the following expressions is equivalent to:(4 x 3) + (4 x 8) ?
4 x (3 + 8)
8 x (3 + 4)
3 x (4 + 8)
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Which of the following expressions is equivalent to:
(5 x 9) – (5 x 3) ?
9 x (3 – 5)
5 x (9 – 3)
3 x (9 – 5)
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11) Which expression is equivalent to 3(x + 7)?
3x + 7
x + 21
x + 10
3x + 21
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12) Which expression is equivalent to 4(x + 5)?
4x + 5
4x + 20
x + 9
9x
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13) Which expression is equivalent to 8(x – 2)?
8x – 16
8x – 2
10x
8x – 10
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Which expression is equivalent to 2(x – 3)?
2x – 3
2x – 5
2x – 6
2x – 2
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Practice:Worksheet 61
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