SOLUTION: show that each statement is false by finding a counterexample
1)the opposite of each natural number is a natural number
2)there is no integer that has a reciprocal that is an
Algebra.Com
Question 338521: show that each statement is false by finding a counterexample
1)the opposite of each natural number is a natural number
2)there is no integer that has a reciprocal that is an integer
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The natural numbers are the positive integers 1,2,3...
The opposite of a natural number would be the negative integers -1,-2,-3,...
Negative integers are not part of the natural numbers.
So you can use 1 and -1 as a counterexample.
.
.
.
1 is an integer.
The reciprocal of 1 is 1/1=1 is also an integer.
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