what is the multiplicative inverse?

- bakonloverk

what is the multiplicative inverse?

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- katieb

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- anonymous

http://www.youtube.com/watch?v=-eUfNBD4Kwc

- anonymous

are you asking for the definition?

- anonymous

multiplicative inverse
(mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; the multiplicative inverse of 7 is 1/7.

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## More answers

- bakonloverk

ok wait wht is the multiplicative inverse of 5/7?

- anonymous

the inverse of a number means that if you multiply the number by its inverse you will get 1. so therefore, to work out the inverse you do 1 divided by the number.

- anonymous

7/5

- bakonloverk

ohhhhhh ok thank u

- skullpatrol

Do you understand now?

- bakonloverk

yea i do

- bakonloverk

wait so would the inverse of -2 3/4 be 4/11?

- skullpatrol

|dw:1360271797991:dw|

- skullpatrol

|dw:1360271859211:dw|

- bakonloverk

wait im confused

- bakonloverk

wait wait wait never mind

- skullpatrol

You are missing the minus sign.

- bakonloverk

oh so its -4/11?

- skullpatrol

Correct. What is the multiplicative inverse of -1?

- bakonloverk

1/-1 right?

- skullpatrol

What does that equal?

- bakonloverk

-1

- skullpatrol

Correct, excellent. how about the multiplicative inverse of 0?

- bakonloverk

wouldnt tht just b 0?

- skullpatrol

Are you sure? Think about it....

- bakonloverk

wait 1?

- skullpatrol

Please don't guess. Try to come up with a reasonable answer.

- bakonloverk

well im not trying 2 guess

- skullpatrol

I know, I know.... sorry but this is one of THE most difficult questions to understand for most students, I apologize.

- bakonloverk

wait it is 0

- skullpatrol

A multiplicative inverse is also called a "reciprocal" as is DEFINED as so,
reciprocals: Two numbers whose product is 1.

- bakonloverk

0/1 would b 1/0

- skullpatrol

|dw:1360273959086:dw|

- bakonloverk

ohhhh so the answer is 1?

- skullpatrol

No.

- bakonloverk

ugh then wht is it?

- skullpatrol

The answer is "there is no answer"

- bakonloverk

omg thts wht my calculator said

- skullpatrol

Let me show you the DEFINING equation for reciprocals again: $$a*b=1$$ When asked to find the reciprocal of a number replace one of the letters in this equation with that number and solve for the other letter, for example: what is the reciprocal of 2? So $$2*b=1$$ What number multiplied by 2 gives 1?

- bakonloverk

0.5

- skullpatrol

Correct.

- bakonloverk

YAY!!!! i finally understand something

- skullpatrol

What is the reciprocal of 0.5?

- bakonloverk

1/0.5?

- skullpatrol

Yes!!! simplify that please. What number multiplied by 0.5 equals 1?

- bakonloverk

2

- skullpatrol

Correct.

- bakonloverk

kk give me another one

- skullpatrol

What is the reciprocal of 0?

- bakonloverk

wait we just did this one

- skullpatrol

Follow the steps I gave you above.

- bakonloverk

0 * b = 1

- skullpatrol

EXCELLENT!!! Now you are really learning :-D

- bakonloverk

lol so then it would b 1/0?

- skullpatrol

$$\frac{1}{0}$$ is not a number, because division by 0 is undefined.

- bakonloverk

well yea but if we were using different numbers would it look almost like tht?

- skullpatrol

Give me an example please.

- bakonloverk

like in the problem im doing now
hold on

- bakonloverk

\[4\frac{ 1 }{ 8} would be \frac{ 8 }{ 33 } \]

- bakonloverk

right?

- skullpatrol

Yes.

- bakonloverk

YAY!!!!

- skullpatrol

Let me try and explain why you can never divide by 0. Dividing by 0 would mean multiplying by the reciprocal of 0, but 0 has no reciprocal because 0 times ANY number is 0, NOT 1.

- bakonloverk

OMG tht makes soooo much sense now

- skullpatrol

|dw:1360276164935:dw|

- bakonloverk

nope

- skullpatrol

So what is the answer to "what is the multiplicative inverse of 0?"

- skullpatrol

|dw:1360276813364:dw|

- bakonloverk

there is no answer u cant put any number there

- skullpatrol

Correct.

- bakonloverk

yay omg thank u so much

- skullpatrol

np :)

- bakonloverk

:)

- bakonloverk

wait can u help me with another problem?

- bakonloverk

the smallest owl found in the united states is the elf owl, which weighs 1 1/2 ounces. one of the largest owls is the Eurasian eagle owl which weighs nearly 10 pounds or 156 ounces. the Eurasian eagle owl is how many times as heavy as the elf owl?

- bakonloverk

thts the problem^^^

- skullpatrol

Any ideas?

- bakonloverk

well idk how 2 set the problem up

- skullpatrol

Decide what unknown number is asked for and what facts are known.

- bakonloverk

do i have 2 convert 1 1/2 into an improper fraction?

- skullpatrol

Yes.

- bakonloverk

ok so thts 3/2

- skullpatrol

Correct.

- bakonloverk

then do i put 156 over 1?

- skullpatrol

Yes.

- bakonloverk

so would it b \[\frac{ 156 }{ 1 } - \frac{ 3 }{ 2 }\]

- skullpatrol

|dw:1360277686583:dw|

- bakonloverk

oh so its 156 divided by 3/2?

- skullpatrol

Yes.

- bakonloverk

so its 312/3

- bakonloverk

so the answers 104 ounces?

- skullpatrol

Not ounces, but how many times heavier.

- bakonloverk

ohhhhh kk thank u

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