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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

Q: Explain if the commutative property of addition applies when you add two negative integers?

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Yes, it does.

No because the commutative property only works for addition and multiplication

The Abelian (commutative) property of integers under addition.

The Abelian or commutative property of addition of integers, rationals, reals or complex numbers.

Yes. Both the commutative property of addition, and the commutative property of multiplication, works:* For integers * For rational numbers (i.e., fractions) * For any real numbers * For complex numbers

Related questions

Yes, it does.

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

The commutative property of addition can be stated as: a+b = b+a

No because the commutative property only works for addition and multiplication

The Abelian (commutative) property of integers under addition.

The Abelian or commutative property of addition of integers, rationals, reals or complex numbers.

The commutative property of addition and the commutative property of multiplication.

Yes. Both the commutative property of addition, and the commutative property of multiplication, works:* For integers * For rational numbers (i.e., fractions) * For any real numbers * For complex numbers

The commutative property for any two numbers, X and Y, is X # Y = Y # X where # can stand for addition or multiplication. Whether the numbers are written as integers, rational fractions, irrationals or decimal numbers is totally irrelevant.

The commutative property for addition is a + b = b + a

The commutative property of addition states that x + y = y + x for any two elements x and y.

The key word for the commutative property is interchangeable. Addition and multiplication functions are both commutative and many mathematical proofs rely on this property.