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An operation is commutative if the order of the operands doesn't matter.

eg addition and multiplication are commutative as:

1 + 5 = 5 + 1 = 6

2 × 6 = 6 × 2 = 12

Subtraction and division are NOT commutative as the order does matter.

eg 4 - 1 = 3, but 1 - 4 = -3 which is not the same.

eg 12 ÷ 3 = 4, but 3 ÷ 12 = ¼ = 0.25 which is not the same.

This latter explains why it is important for common understanding when reading expressions, especially divisions. In English 12 ÷ 4 is read as "12 divided by 4". In other languages this is not the same. I have met a native Spanish speaker (with English as a second language) reading 12 ÷ 4 as "4 divided by 12" but doing the correct calculation to get the correct value of 3.

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7y ago

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Related Questions

What is the commutative operation of additon?

what is the commutative operation of addition


What does it mean to say that an operation is commutative?

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What is the deffinition of commutative?

Assuming you mean definition, commutative is a property of an operation such that the order of the operands does not affect the result. Thus for addition, A + B = B + A. Multiplication of numbers is also commutative but multiplication of matrices is not. Subtraction and division are not commutative.


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Yes it is : a + b = b + a for all integers a and b. In fact , if an operation is called addition you can bet that it is commutative. It would be perverse to call an non-commutative operation addition.


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The commutative property states that changing the order of operands in a binary operation does not affect the result. More simply, and using more familiar terms: for addition, it means that A + B = B + A or for multiplication, A * B = B *A Subtraction and division are not commutative, nor is matrix multiplication.


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