### 2. Distributive Property

```2. Distributive Property
January 14, 2016
Distributive (Property)
Distributive Property
Distributive Property
4(2 + 3)
7(7 + k)
Distribute or give out Distribute or give out the 4 to each number the 7 to each number/variable inside the parentheses. inside the parentheses. 2. Distributive Property
January 14, 2016
Use the Distributive Property & mental math to find 8 × 53.
8 × 53 = We are creating equivalent expressions much like when we write 8 x n. It can also be written as....
8(50 + 3)
= 8(50) + 8(3)
= 400 + 24
= 424
8 x n= 8 n = 8(n) = 8n
Use the Distributive Property & mental math Use the Distributive Property & mental math to find 5 × 41.
to find 9 × 19.
Use the Distributive Property & mental math Use the Distributive Property & mental math to find 6(37).
to find
2. Distributive Property
January 14, 2016
Use the Distributive Property & mental math Use the Distributive Property to simplify the expression.
to find
a.
b.
c.
Use the Distributive Property to simplify the expression.
a.
José is x years old. His brother, Felipe, is 2 years older than José. Their aunt, Maria, is three times as old as Felipe. Write and simplify an expression that represents Maria’s age in years.
b.
Description
Expression
Jose
He is x years old.
x
Felipe
He is 2 years older than Jose. So, add 2 to x.
x + 2
Maria
She is three times as old as Felipe. So, multiply 3 and (x+2)
3(x+2)
Name
3(x+2) = 3(x) + 3(2)
= 3x + 6
Distribution Theater
Row 1
Distributive Property
Row 2
Pull
Pull
Row 3
8 x 25 + 8 x 75 8(25 + 75) Row 4 Row 5
Row 6 Row 7
Subject: Math
Date: 2016
2. Distributive Property
1
Use the distributive property to find the value of n. 3 Which of the following represents
the use of the distributive property? A 5(4 + 7) = 5 + 4 • 5 + 7 January 14, 2016
2 Use the distributive property to find the value of k. 4 Which of the following represents
the use of the distributive property? A
23 • 7 = 20 + 7 + 3 + 7 B 5(4 + 7) = 5 • 4 + 5 • 7 B
23 • 7 = 20 • 7 • (3 • 7) C 5(4 + 7) = 5 • 4 • 5 • 7 C
23 • 7 = 20 • 7 + 3 • 7 D 5(4 + 7) = 5 • 4 + (5 + 7) D
23 • 7 = 7 • 23
5 Choose all of the equivalents to 8c ­ 24? 6 Which property is responsible for the following? A
8(c – 3) B
8 • c + 24 A Associative Property of Addition
C
8• c – 8 • 3 D
8 • 3 – 3 • c B Associative Property of Multiplication
E
8 • 3 – 8 • c C Distributive Propery of Multiplication D Zero Property of Multiplication
```