Is the “inverse” of an integer or a number simply switching the digit places? The solution to this question (whose answer is E) implies so, but I’d like to make sure.

Thanks!

Is the “inverse” of an integer or a number simply switching the digit places? The solution to this question (whose answer is E) implies so, but I’d like to make sure.

Thanks!

Yes.

Thanks! How would you switch digits for numbers of 2+ digits?

If the original number is 35 for example, the inverse is 53.

Take a two digit number (42 for eg) , now 42 can be written as **10**+4(tens place) +**1**x2(ones place) thus, when you inverse it , you’ll just switch the the location of 4 and 2 , inverse of 42 is 24 and it can be written as **10** x 2(tens place) + **1** x 4(ones place).

Similarly, for 3 digit number 123-> 100 x 1 + 10 x 2 + 1 x 3 =123

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then what would you call \frac{1}{x} of a number x? isn’t that what ‘inverse’ usually means?

\frac{1}{x} is defined as the reciprocal.

That being said, other sources define the inverse of a number as the reciprocal, so we’ve adjusted the question to explicitly define what an inverse is.

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