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(10 pts) Find, with justification, the multiplicative inverse of 21+3+(12_ +1+2) in Zolo]/(r2+3+2). (10 nts) (A) Tet R k...

Question

(10 pts) Find, with justification, the multiplicative inverse of 21+3+(12_ +1+2) in Zolo]/(r2+3+2). (10 nts) (A) Tet R k

(10 pts) Find, with justification, the multiplicative inverse of 21+3+(12_ +1+2) in Zolo]/(r2+3+2). (10 nts) (A) Tet R k



Answers

find the multiplicative inverse of each $$-10$$

So one tens times 10 Here will you owe us one? So the 10 and it's Ah, Marty pre k to you in worse off this one tens here.

All right. We need to find the additive inverse as well as the multiplication of inverse of this, the additive inverse is what do I have to add to get to zero? And that is a positive 10. So high. Oh, that first answer in red. The multiplication of inverse is what do I have to multiply by to get Tau one, and it's not too tough. You just put that on the denominator. And so if I have a negative 10 times a one over negative 10 I get the answer of one, and I can put this over one to make it even more explicit. But that fraction and that can kind of just write it a little bit because the negative could be attached to the 10. Or it could just be written like this. So here's a multiplicity of inverse negative one tent, and here's the additive inverse plus positive 10

In this problem, we're being asked to find the multiplication inverse for the following numbers. Well, if you recall a multiplication inverse is when you take a number and you multiply it by something. To equal deposit of one. Well, to get that multiplication first by itself, we would divide both sides by A. So our multiplication of inverse is one over a meaning it's the reciprocal. So let's go to part a. To find the multiplication inverse of 1112. We have to find its reciprocal meaning we flip the fraction. So the reciprocal, 1112 will be 12 or 11. Now for part B we have a decimal. We're going to turn this into a fraction while negative 1.1 is the same as negative one and 1/10. Well, we need to turn this into an improper fraction. So we'll do 10 times the whole number one which is 10 plus the new Marie there one that's 11. So this is the same thing as negative. 11 over tech. So now we can take the reciprocal, so that would be negative 10/11. Lastly, in part C, we have negative four will to turn negative for into a fraction. We put it over one. So the reciprocal of negative four or one will be negative 1/4.

So in this problem we're being asked to find the multiplication inverse for the following numbers. Well, first off, what is the multiplication verse? A multiplication of inverse is when you take a number, let's call it A. And you multiply it by something to equal to one. Well, if I was to solve this equation, I would divide both sides by a. And so our multiplication inverse with equal to one over a meaning is the reciprocal. So we just have to find the reciprocal of all three numbers. So let's go to part a. We have 12. Well, first off it's not a fraction but to turn it into a fraction, we can just put it over one. So now to find the reciprocal we just flip it. So the reciprocal of 12 will be won over 12. So that will be its multiplication inverse. Now, for part b. first we're going to find the reciprocal. So that would be two nights. But right now if we multiply these together, that would give us a negative in order for it to be positive. Are reciprocal also has to keep the same sign So it be -2 nights. And for part C we have 0.13. Well, that's the fraction 1300s. So now to take the reciprocal, we flip our fraction. So will be 100 over 13.


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