bakonloverk
what is the multiplicative inverse?
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Geometrythebest
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are you asking for the definition?
Bri_Love
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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.
bakonloverk
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ok wait wht is the multiplicative inverse of 5/7?
Geometrythebest
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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.
Bri_Love
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7/5
bakonloverk
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ohhhhhh ok thank u
skullpatrol
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Do you understand now?
bakonloverk
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yea i do
bakonloverk
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wait so would the inverse of -2 3/4 be 4/11?
skullpatrol
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|dw:1360271797991:dw|
skullpatrol
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|dw:1360271859211:dw|
bakonloverk
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wait im confused
bakonloverk
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wait wait wait never mind
skullpatrol
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You are missing the minus sign.
bakonloverk
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oh so its -4/11?
skullpatrol
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Correct. What is the multiplicative inverse of -1?
bakonloverk
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1/-1 right?
skullpatrol
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What does that equal?
bakonloverk
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-1
skullpatrol
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Correct, excellent. how about the multiplicative inverse of 0?
bakonloverk
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wouldnt tht just b 0?
skullpatrol
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Are you sure? Think about it....
bakonloverk
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wait 1?
skullpatrol
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Please don't guess. Try to come up with a reasonable answer.
bakonloverk
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well im not trying 2 guess
skullpatrol
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I know, I know.... sorry but this is one of THE most difficult questions to understand for most students, I apologize.
bakonloverk
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wait it is 0
skullpatrol
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A multiplicative inverse is also called a "reciprocal" as is DEFINED as so,
reciprocals: Two numbers whose product is 1.
bakonloverk
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0/1 would b 1/0
skullpatrol
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|dw:1360273959086:dw|
bakonloverk
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ohhhh so the answer is 1?
skullpatrol
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No.
bakonloverk
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ugh then wht is it?
skullpatrol
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The answer is "there is no answer"
bakonloverk
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omg thts wht my calculator said
skullpatrol
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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
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0.5
skullpatrol
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Correct.
bakonloverk
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YAY!!!! i finally understand something
skullpatrol
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What is the reciprocal of 0.5?
bakonloverk
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1/0.5?
skullpatrol
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Yes!!! simplify that please. What number multiplied by 0.5 equals 1?
bakonloverk
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2
skullpatrol
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Correct.
bakonloverk
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kk give me another one
skullpatrol
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What is the reciprocal of 0?
bakonloverk
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wait we just did this one
skullpatrol
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Follow the steps I gave you above.
bakonloverk
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0 * b = 1
skullpatrol
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EXCELLENT!!! Now you are really learning :-D
bakonloverk
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lol so then it would b 1/0?
skullpatrol
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$$\frac{1}{0}$$ is not a number, because division by 0 is undefined.
bakonloverk
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well yea but if we were using different numbers would it look almost like tht?
skullpatrol
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Give me an example please.
bakonloverk
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like in the problem im doing now
hold on
bakonloverk
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\[4\frac{ 1 }{ 8} would be \frac{ 8 }{ 33 } \]
bakonloverk
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right?
skullpatrol
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Yes.
bakonloverk
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YAY!!!!
skullpatrol
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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
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OMG tht makes soooo much sense now
skullpatrol
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|dw:1360276164935:dw|
bakonloverk
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nope
skullpatrol
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So what is the answer to "what is the multiplicative inverse of 0?"
skullpatrol
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|dw:1360276813364:dw|
bakonloverk
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there is no answer u cant put any number there
skullpatrol
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Correct.
bakonloverk
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yay omg thank u so much
skullpatrol
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np :)
bakonloverk
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:)
bakonloverk
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wait can u help me with another problem?
bakonloverk
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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
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thts the problem^^^
skullpatrol
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Any ideas?
bakonloverk
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well idk how 2 set the problem up
skullpatrol
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Decide what unknown number is asked for and what facts are known.
bakonloverk
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do i have 2 convert 1 1/2 into an improper fraction?
skullpatrol
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Yes.
bakonloverk
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ok so thts 3/2
skullpatrol
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Correct.
bakonloverk
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then do i put 156 over 1?
skullpatrol
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Yes.
bakonloverk
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so would it b \[\frac{ 156 }{ 1 } - \frac{ 3 }{ 2 }\]
skullpatrol
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|dw:1360277686583:dw|
bakonloverk
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oh so its 156 divided by 3/2?
skullpatrol
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Yes.
bakonloverk
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so its 312/3
bakonloverk
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so the answers 104 ounces?
skullpatrol
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Not ounces, but how many times heavier.
bakonloverk
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ohhhhh kk thank u