Any fraction p/q where p is an integer and q is a non-zero integer is rational.
The question asks about the "following". In those circumstances would it be too much to expect that you make sure that there is something that is following?
Then p/q is a rational number.
The integer 1 is a whole number that is neither a prime or a composite number because it has only one factor which is itself.
The above statement is not true!-3/4 is a fraction which is less than 1. Its reciprocal is -4/3 which is also less than 1, NOT greater.
True
False.
Any fraction p/q where p is an integer and q is a non-zero integer is rational.
Then p/q is a rational number.
Yes a fraction cannot be an integer.
Statement 1 is true but totally unnecessary. As integer is always a rational and you do not need to convert it to a fraction to determine whether or not it is rational. A negative fraction is can be rational or irrational. The fact that it is negative is irrelevant to its rationality. An integer number over a zero denominator is not defined and so cannot be rational or irrational or anything. It just isn't.
True. The first statement is true and the second statement is false. In a disjunction, if either statement is true, the disjunction is true.
the square of an integer will always be an integer
The statement is not true. Disprove by counter-example: 3 is an integer and 5 is an integer, their product is 15 which is odd.
No because it could be a fraction or a decimal
Say: "This fraction here is equal to that fraction there." If it's true, then that statement is a proportion.
Rational number: A number that can be in fraction form. Therefore, 0.86 is a rational number (fraction: 86/100). Integer: Whole numbers (cannot be represented in fraction or decimal form) Therefore, it is true that 0.86 is not an integer. Hope this helps. -babyhamsterx
"Arbitrary" simply means any. So this refers to any positive integer. It may be used to make a statement that is true for every positive integer.
true