Which of the following, if any, is the multiplicative inverse of 9/11? A) A) 1 2/9 B) B) 9/11 C) C) The multiplicative inverse does not exist. D) D) None of the other choices.
On your calculator, do 9/11 Take that decimal and raise it to -1
Then convert that number back into fraction
so then -.0909 back into a fraction
9/11 should equal .8181 raising that to -1 should equal 1.222222
Which is 61/50
It doesn't exist
A number and its multiplicative inverse have a product of 1. Multiplicative inverse of a number is another name for reciprocal. The reciprocal of 9/11 DOES exist. What times 9/11 = 1?
@schamp2010 What is the reciprocal of 9/11?
-11/9
Sorry about that Schamp. I was thinking of something else.
You have additive inverse and multiplicative inverse mixed up.
A number and its additive inverse add to zero. Example: 5 + (-5) = 0 so -5 is the additive inverse of 5.
But, we are not doing that. We are doing multiplicative inverses.
Answer should be a number that will cancel the numerator and denominator \[\frac{ 9 }{ 11 }*\frac{ x }{ y}\]
So the answer isn't there
It is there. What number divided by ( will give you 1?
Multiplicative inverses multiply to ONE. @schamp2010 I SEE the answer. If you tell me what the reciprocal of 9/11 is, I will show you that the answer is listed among the options.
\[\frac{ x }{ 11 }=1 and \frac{ y }{ 9 }\]
11/9 right?
Yes
Postive 11/9
So then the answer is a?
You listed A) is 12/9. Did you copy thast correctly?
1 2/9
A) 1 2/9 is 1 and 2/9. Change 1 to 9/9. Add 9/9 + 2/9 to get 11/9 which is the multiplicative inverse of 9/11.
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