The property that states 'the product of two numbers remains the same on reversing their order' is called

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CTET Paper 1 - 29th Dec 2021 (English-Hindi-Sanskrit)
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  1. Associativity Property 
  2. Commutativity Property 
  3. Inverse Property
  4. Identity Property 

Answer (Detailed Solution Below)

Option 2 : Commutativity Property 
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The commutative property deals with the arithmetic operations of addition and multiplication. It means that changing the order or position of two numbers while adding or multiplying them does not change the end result. Key PointsThis law simply states that with the addition and multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer.

  • a+b = b+a = c
  • axb = bxa = c
Example
In addition :-
1.  3+6 = 9 and also 6+3 = 9.
2. 8+3 = 11 and 3+8 = 11
In multiplication :-
1. 6x5 = 30 and 5x6 = 30 
2. 2x9 = 18 and 9x2 = 18
Here the final answer doesn't change as the numbers are interchanged.
Hence the property that states 'the product of two numbers remains the same on reversing their order' is called Commutativity Property. Additional Information
Associative Property a+(b+c) = (a+b)+c
ax(bxc) = (axb)xc 
Inverse property a+(-a)= 0
Identity property ax1 = a
a+0 = a
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