namw the propert− 13/17 × −2/7 = − 2/7 × − 13/17
Answers
Commutative Property
The commutative property deals with the arithmetic operations of addition and multiplication. It means that changing the order or position of numbers while adding or multiplying them does not change the end result. For example, 4 + 5 gives 9, and 5 + 4 also gives 9. The order of numbers being added does not affect the sum. The same concept applies to multiplication too. The commutative property does not hold for subtraction and division, as the end results are completely different in changing the order of numbers. Let us look at all these concepts in detail.
What is Commutative Property?
The word 'commutative' originates from the word 'commute', which means to move around. Hence, the commutative property deals with moving the numbers around. So mathematically, if changing the order of the operands does not change the result of the arithmetic operation then that particular arithmetic operation is commutative. Apart from this, there are other properties of numbers: the associative property, the distributive property, and the identity property. They are different from the commutative property of numbers. Let us discuss the commutative property of addition and multiplication briefly.
Commutative Property of Multiplication
The commutative property of multiplication says that the order in which we multiply the numbers does not change the final product. Similar to the commutative property of addition, the commutative property holds good if there are more than 2 numbers to be multiplied. For example, 6 × 7 × 8 = 336. The same result is obtained when we multiply 8 × 7 × 6 = 336. The product in both cases is 336. So, it is evident that the order or the position of numbers being multiplied does not change the product. The image given below represents the commutative property of the multiplication of two numbers.
Commutative Property Of Multiplication Formula :-
A × B = B × A
Important Notes
Some key points to remember about the commutative property are given below.
•The Commutative property states that "changing the order of the operands does not change the result."
•The commutative property for addition is A + B = B + A
•The commutative property for multiplication is A × B = B × A