Answer:
To determine whether the statement is true or false.
A)Given statement is,
The product of 2 number of opposite signs will be a negative number​.
we have that,
negative multiply positive or positive multiply negative is always negative,
Hence we conclude that the product of 2 number of opposite signs will be a negative number​.
Hence the statement is true.
B) A reciprocal of a improper fraction is a proper fraction.
From the definition of improper fraction we get that,
The numerator is greater than the denomination
On the other hand, proper fraction is the numerator is lesser than the denominator.
On taking reciprocal of improper fraction, the numerator and the denominator get interchanged.
As the result, we get that the numerator is lesser than the denominator. That is prper fraction.
Hence we conclude that a reciprocal of a improper fraction is a proper fraction.
Hence the statement is true.
C)The reciprocal of 1 is -1
we know that, the reciprocal of any number is a interchanging its numerator and denominator.
Using this, the reciprocal of 1 is 1, (not -1)
Hence the statement is false.