Any fraction p/q where p is an integer and q is a non-zero integer is rational.
"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.
An integer is a whole number (not a fractional number) that can be positive, negative or zero - so true
Yes, it is true that every whole number is an integer.
An integer is any whole number, so the answer would be true.
The statement is true.
If ( p ) is an integer and ( q ) is a nonzero integer, then the expression ( \frac{p}{q} ) will always yield a rational number. Additionally, since ( q ) is nonzero, ( p ) cannot be divided by zero, ensuring the division is valid. Furthermore, ( p + q ) will also be an integer, as the sum of two integers is always an integer.
Then p/q is a rational number.
Any fraction p/q where p is an integer and q is a non-zero integer is rational.
the square of an integer will always be an integer
Yes, it is true that if ( p ) is an integer and ( q ) is a nonzero integer, then ( p ) can take any whole number value, including positive, negative, or zero, while ( q ) cannot be zero and must be a whole number either positive or negative. This distinction is important in mathematical contexts where division by zero is undefined.
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.
True. The first statement is true and the second statement is false. In a disjunction, if either statement is true, the disjunction is true.
"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. In general, the product is not an integer.
no an integer is a whole number
An integer is a whole number (not a fractional number) that can be positive, negative or zero - so true
Yes, it is true that the square of an integer will always be an integer. When you multiply an integer by itself, the result is an integer, as the set of integers is closed under multiplication. For example, squaring the integers 2 and -3 yields 4 and 9, respectively, both of which are integers.