Q: What is a counter example to prove subtraction of integers is no commutative?

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5 - 3 = 2 3 - 5 = -2 2 is not the same as -2 so the operation is not commutative.

Commutative means things can move or commute. For example A+B=B+A But A-B does NOT equal B-A. The example A+B=B+A is an example of the commutative property of addition. More formally: An operation is commutative if you can change the order of the numbers involved without changing the result. Subtraction does NOT have a commutative property because you cannot change the order. Here is one last concrete example. 5-4=1 and 4-5 =-1 If you know about absolute value, then you might know that |5-4|=|4-5|=1 and in general |a-b|=|b-a|, but this does not mean that subtraction commutes.

Yes. The commutative property of addition (as well as the commutative property of multiplication) applies to all real numbers, and even to complex numbers. As an example (for integers): 5 + (-3) = (-3) + 5

A non-example of divisor ring of integers, a division ring or a nonzero commutative ring that has no zero divisors except 0.

Example: a - b = b-a, So lets say a=2 b=3. 2-3=3-2 -1 =/= 1

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An operation is commutative if you can switch the operands and get the same result. That is, ! is commutative if (and only if) a ! b = b ! a. For example, multiplication of integers is commutative: 17*42 = 42*17 = 314, for example. Subtraction is not: 17 - 5 = 12, but 5 - 17 = -12.When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands. For example 4 * 2 = 2 * 4

1-3 != 3-1

Integers are whole numbers as for example 28 minus 17 = 11

The commutative property holds for all numbers under addition, regardless of whether they are positive or negative - the sign of the number stays with the number, for example: -2 + 5 = (-2) + 5 = 5 + (-2) = 5 + -2 -2 + -5 = (-2) + (-5) = (-5) + (-2) = -5 + -2 Subtraction is not commutative, but when subtraction is taken as adding the negative of the second number, the commutative property of addition holds, for example: 5 - 2 ≠ 2 - 5 but: 5 - 2 = 5 + -2 = 5 + (-2) = (-2) + 5 = -2 + 5

That's commutative ... 3x2 = 2x3.

5 - 3 = 2 3 - 5 = -2 2 is not the same as -2 so the operation is not commutative.

Commutative means things can move or commute. For example A+B=B+A But A-B does NOT equal B-A. The example A+B=B+A is an example of the commutative property of addition. More formally: An operation is commutative if you can change the order of the numbers involved without changing the result. Subtraction does NOT have a commutative property because you cannot change the order. Here is one last concrete example. 5-4=1 and 4-5 =-1 If you know about absolute value, then you might know that |5-4|=|4-5|=1 and in general |a-b|=|b-a|, but this does not mean that subtraction commutes.

Yes. The commutative property of addition (as well as the commutative property of multiplication) applies to all real numbers, and even to complex numbers. As an example (for integers): 5 + (-3) = (-3) + 5

Yes it matters. Subtraction is not commutative. Example: 5-2 = 3 (positive three), but 2-5 = -3 (negative three)

No.The binary operation of subtraction (really adding a negative number) is NOT commutative.Let's say * is the binary operation of subtraction (really addition): such thata*b = a - b or more correctly: a + (-b).Let's assume it is commutative, Then a*b = b*aLet's find any counter example to show that this not the case:a=1b=41 + (-4) =/= 4 + -1-3 =/= 3

The above is only partially true since not all mathematical operations are commutative. For example, subtraction is not commutative (though addition using negative numbers is). Where an operaton is commutative it does halve the number of facts to be learned. For example, when you have learned 2+3 = 5, you do not need to learn 3+2.

Example-A: (2 - 1) is not equal to (1 - 2) Example-B: (4,000 - 87) is not equal to (87 - 4,000)