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P O D. Simplify each expression. Justify each step. 12g + (6 + 4g). 12g + (4g + 6). commutative. (12g + 4g) + 6. associative. (16g) + 6. P O D. Use mental math. 5 × 123. 5(100) + 5(20) + 5(3). 500 + 100 + 15. 615. - PowerPoint PPT Presentation
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PODSimplify each expression. Justify each step.
12g + (6 + 4g)12g + (4g + 6)(12g + 4g) + 6(16g) + 6
commutative
associative
PODUse mental math.
5 × 1235(100) + 5(20) + 5(3)500 + 100 + 15615
PODUse mental math to solve:
basic advanced
8 × 34
8(30) + 8(4)
240 + 32
272
7 × 231
7(200) + 7(30) + 7(1)
1400 + 210 + 7
1617
The Distributive Property states that to multiply a sum or difference by a number, multiply each term inside the parenthesis by the number outside the parenthesis.
a( b + c ) = ab + ac a( b – c ) = ab − ac
2 ( y + 2) = 2(y) +2(2)
= 2y + 4
The expressions 2(y+2) and 2y+4 are equivalent expressions. No matter what y is, these expressions have the same value.
8(-9+4) = 8(-9) + 8(4)
= -72 + 32 = -40
I do… You watch
I do… You watch
Use mental math to solve.
6 × 15
6(10) + 6(5)
60+ 30
90
Whiteboard time
(12 − 8)9
9(12) − 9(8)
108 − 7236
Whiteboard time
4(x + 7)
4(x) + 4(7)
4x + 28
Whiteboard time
5(-3x + 7y)
5(-3x) + 5(7y)
-15x + 35y
Whiteboard time
Use mental math to solve.
5 × 35
5(30) + 5(5)
150+ 25
175
Whiteboard time
Use mental math to solve.
3 × 124
3(100) + 3(20) + 3(4)
300 + 60 + 12
372
Whiteboard time
-5( -2 – 18)
-5(-2) − (-5)(18)
10 − (-90)
100
Whiteboard time
3(-4 + 12)
3(-4) + 3(12)
-12 + 36
24
Whiteboard time
12( 2x + 3)
12(2x) + 12(3)
24x +36
Whiteboard time
-2g( 4y + 2)
-2g(4y) + -2g(2)
-8gy + -4g
Whiteboard time
Use mental math to solve.
7 × 14
7(10) + 7(4)
70+ 28
98
Whiteboard time
Use mental math to solve.
9 × 22
9(20) + 9(2)
180+ 18
198
Mr. Ito needs to buy batting helmets for the baseball team. The helmets he plans to buy are $19.95 each. Find the total cost if Mr. Ito needs to buy 9 batting helmets for the team.
Rename $19.95 as $20.00−$0.05
9(20) − 9(0.05)
$180 − $0.45
$179.55
9(20 − 0.05)
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