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Mathematics 6 Online
OpenStudy (anonymous):

what is inverse operations

OpenStudy (skullpatrol):

Do you want the definition?

OpenStudy (anonymous):

yes

OpenStudy (skullpatrol):

inverse operations: Operations that "undo" each other. -For example, multiplication and division.

OpenStudy (skullpatrol):

Do you know why there are quotation marks around "undo"?

OpenStudy (anonymous):

no

OpenStudy (skullpatrol):

Because there is ONE very special case that has no inverse operation, and that is multiplication by 0, right?

OpenStudy (skullpatrol):

You CAN NOT "undo" the operation of multiplying by 0. Do you know why?

OpenStudy (anonymous):

no

OpenStudy (skullpatrol):

What is zero times any number?

OpenStudy (anonymous):

0

OpenStudy (skullpatrol):

Can you "undo" that and give me back the number?

OpenStudy (anonymous):

no

OpenStudy (skullpatrol):

That is the same reason you cannot divide by zero.

OpenStudy (skullpatrol):

Zero has erased ALL the information that the original number had.

OpenStudy (skullpatrol):

$$\huge 0*a=0$$

OpenStudy (skullpatrol):

\[\left( ab \right)\div b =a, \text{ except if b = 0}\]

OpenStudy (skullpatrol):

inverse operations: Operations that "undo" each other. -For example, multiplication and division.

OpenStudy (skullpatrol):

Note: addition and subtraction are also inverse operations with NO exception.

OpenStudy (skullpatrol):

$$(a + b) - b = a$$ and $$(a - b) + b = a$$

OpenStudy (anonymous):

thxs, u hav helped me so much.

OpenStudy (skullpatrol):

Thanks for trying to understand :)

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