Use of Variables
Get a free home demo of LearnNext

Available for CBSE, ICSE and State Board syllabus.
Call our LearnNext Expert on 1800 419 1234 (tollfree)
OR submit details below for a call back

clear
arrow_back
Use of Variables

Variables are used to frame rules to find the perimeter of a polygon. The perimeter of a polygon can be obtained by adding the lengths of its sides.





The following are some simple rules for the properties of numbers using variables.
Commutative property of addition:
This property states that two numbers can be added in any order. If a and b represent any two numbers, then a + b = b + a.

Commutative property of multiplication:
This property states that two numbers can be multiplied in any order. If a and b represent any two numbers, then a x b = b x a.

Associative property of addition:
This property states that three numbers can be added in any order.  If a, b and c represent any three numbers, then (a + b) + c = a + ( b + c).

Associative property of multiplication:
This property states that three numbers can be multiplied in any order.  If a, b and c represent any three numbers, then (a x b) x c = a x ( b x c).

Distributive property of multiplication over addition:
This property states that if a, b and c represent any three numbers, then a x ( b + c) = a x b + a x c.

Expressions with variables
1)  5 added to y can be expressed as y + 5.

2) a multiplied by 8 can be expressed as 8a.

3) x divided by 3 can be expressed as x 3

4) First z multiplied by 2, then 5 substracted from the product can be expressed as 2z - 5.

Using expression practically
1) Saritha has 15 more pens than ameena.

let ameena have x pens then Saritha has x + 15 pens.

2) Raghu's father's age is 2 years more than 3 times Raghu's age.

Let Raghu's age be t years then Raghu's father's age is (3t + 2) years.

SUMMARY

Variables are used to frame rules to find the perimeter of a polygon. The perimeter of a polygon can be obtained by adding the lengths of its sides.





The following are some simple rules for the properties of numbers using variables.
Commutative property of addition:
This property states that two numbers can be added in any order. If a and b represent any two numbers, then a + b = b + a.

Commutative property of multiplication:
This property states that two numbers can be multiplied in any order. If a and b represent any two numbers, then a x b = b x a.

Associative property of addition:
This property states that three numbers can be added in any order.  If a, b and c represent any three numbers, then (a + b) + c = a + ( b + c).

Associative property of multiplication:
This property states that three numbers can be multiplied in any order.  If a, b and c represent any three numbers, then (a x b) x c = a x ( b x c).

Distributive property of multiplication over addition:
This property states that if a, b and c represent any three numbers, then a x ( b + c) = a x b + a x c.

Expressions with variables
1)  5 added to y can be expressed as y + 5.

2) a multiplied by 8 can be expressed as 8a.

3) x divided by 3 can be expressed as x 3

4) First z multiplied by 2, then 5 substracted from the product can be expressed as 2z - 5.

Using expression practically
1) Saritha has 15 more pens than ameena.

let ameena have x pens then Saritha has x + 15 pens.

2) Raghu's father's age is 2 years more than 3 times Raghu's age.

Let Raghu's age be t years then Raghu's father's age is (3t + 2) years.

VIDEOS

REFERENCES

Like NextGurukul? Also explore our advanced self-learning solution LearnNext
Offered for classes 6-12, LearnNext is a popular self-learning solution for students who strive for excellence
Explore
Animated Video
lessons
All India
Test Series
Interactive Video
Experiments
Best-in class
books

Join India's most happening

Educational community