How To Do Distributive Property

Introduction Distributive Property :-

The distributive property or distributive law makes numbers easier to work with. In mathematics when we use the distributive property, we are actually mounting up the simplified ones.

The Distributive Property in Algebra:

Is left-distributive over + if, given any elements x, y, and z of S,
x · (y + z) = (x · y) + (x · z);

is right-distributive over + if, given any elements x, y, and z of S:
(y + z) · x = (y · x) + (z · x);

is distributive over + if it is both left- and right-distributive.
(Source:- Wikipedia)

The problems solved here helps you learn the distributive property easily. I like to share this The Definition of Distributive Property with you all through my article.


Solved problems Based on Distributive Property:-


Learning problem 1

13 ( 4 + 6 ) solve it by using 'Distributive Property.

Solution:-

= 13 ( 4+ 6 )

The Distributive Property states that

a(b + c) = ab + ac

here

a = 12

b = 4

c = 6

Multiply each number within the parentheses by the number outside the parentheses

13(4 + 6) = 13 • 4 + 13 • 6

= 52 + 78

= 130

Learning Problem 2

11 (5 + 6) solve it by using 'Distributive Property.

Solution:-

= 13 (4+ 6)

The Distributive Property states that

a (b + c) = ab + ac

Here

a = 11

b = 5

c = 6

Multiply each number within the parentheses by the number outside the parentheses

11(5 + 6) = 11 • 5 + 11 • 6

= 55 + 66

= 121

Learning Problem 3

10 (2 + 6) solve it by using 'Distributive Property.

Solution:-

= 10 (2+ 6)

The Distributive Property states that

a (b + c) = ab + ac

Here

a = 10

b = 2

c = 6

Multiply each number within the parentheses by the number outside the parentheses

10(2 + 6) = 10 • 2 + 10 • 6

= 20 + 60

= 80

Learning Problem 4

7 (2 + 6) solve it by using 'Distributive Property.

Solution:-

= 7 (2+ 6)

The Distributive Property states that

a (b + c) = ab + ac

Here

a = 7

b = 2

c = 6

Multiply each number within the parentheses by the number outside the parentheses

7(2 + 6) = 7 • 2 + 7 • 6

= 14 + 42

= 56

Understanding Irrational Number is always challenging for me but thanks to all math help websites to help me out.

Practice Problems Based on Distributive Property:-


1) 1 ( 2 + 6 ) solve it by using 'Distributive Property.

Answer:- 8

2) ( 4 + 2 ) 3 solve it by using 'Distributive Property.

Answer:- 18

3) 12 ( 4 + 2 )  solve it by using 'Distributive Property.

Answer:- 72

4) ( 4 + 5 ) 2 solve it by using 'Distributive Property.

Answer:- 18

5) ( 7 + 2 ) 5 solve it by using 'Distributive Property.

Answer:- 45