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Mention the commutativity, associative and distributive properties of rational numbers. Also, check a × b = b × a and a + b = b + a for a = ½ and b = ¾

Mention the commutativity, associative and distributive properties of rational numbers. Also, check a × b = b × a and a + b = b + a for a = ½ and b = ¾

Grade:12

3 Answers

Harshit Singh
askIITians Faculty 5964 Points
9 months ago
Dear Student

Commutative property:
For any two rational numbers a and b, a + b = b + a.
For any two rational numbers a and b, a × b = b × a.
Associative Property:
For any three rational numbers a, b and c,
(a + b) + c = a + (b + c)
Distributive property states that for any three numbers x, y and z,
x × ( y + z ) = (x × y) + ( x × z)

a*b = b*a
a*b = ½ * ¾ = 3/8
b*a = ¾ * ½ = 3/8
a + b = ¾ + ½ = 5/4
b + a = ½ + ¾ = 5/4

Thanks
Yashraj
915 Points
7 months ago
  1. Practice previous year questions many times..
  2. Appear for a test series and analyse it properly (Giving 2–3 hours)
  3. Revise your notes multiple times till they enter your soul :)
  4. Find your strong points and chapters, work on them..
  5. Solve other people’s doubts. It makes your own concepts very clear
Prawin Gupta
13 Points
one month ago
Commutative Proprety
In this property,we can change the order if the sign between them are of 'x' and '+' 
Like 6+8=8+6
        14=14
 
Associative Property
In this property we can shift the brackets from left to right or right to leftthe sign between them would also be of '+' or 'x'
Like (1x2)X3=1x(2x3)
        2x3.       =1x6
         6.           =6
 
Distributive Property
In this we can take a common number out of the bracket (only work if the sign is of 'x' or'+'
Like 3x2+3x5
         3(2+5)
          3(7)
            21     

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