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rsaad2

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## Homework Statement

prove : 0 = -0

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In summary, the conversation discusses how to prove the statement 0 = -0. The use of the distributive property and axioms of multiplication by zero are suggested as possible approaches. The definition of -0 and the importance of working in a group are also mentioned.

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rsaad2

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prove : 0 = -0

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Office_Shredder

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What have you done so far?

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rsaad2

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i do not know how to go about it so that is why i posted it here.

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HallsofIvy

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gomunkul51

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hint:

-0 = -1 * 0

what do you know as axioms about multiplication by zero? :)

-0 = -1 * 0

what do you know as axioms about multiplication by zero? :)

For a real number to equal another real number, they must have the same value. In this case, both 0 and -0 have a value of 0, so they are considered equal.

Axioms are self-evident truths that serve as the basis for a mathematical system. They are used to prove mathematical statements, such as 0 = -0, by following logical steps.

Yes, it is possible to prove 0 = -0 using axioms. One way to do so is by using the axiom of identity, which states that any number is equal to itself. Since 0 and -0 both have a value of 0, they are equal to themselves.

Proving mathematical statements, such as 0 = -0, is important because it helps to establish the validity of a mathematical system. It also allows us to better understand the properties and relationships of numbers.

Yes, there are other ways to prove 0 = -0, such as using the definition of equality, which states that two numbers are equal if they have the same value and sign. Since 0 and -0 both have a value of 0 and a sign of positive, they are considered equal by definition.

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