Mathematics
6 Online
OpenStudy (anonymous):
what is inverse operations
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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
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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
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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):
$$\huge 0*a=0$$
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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.
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OpenStudy (skullpatrol):
Thanks for trying to understand :)