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.
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.
Yes a fraction cannot be an integer.
Then p/q is a rational number.
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