Wiki User
∙ 6y agoYes.Suppose a and b are two positive rational numbers. Then a can be expressed in the form p/q where p and q are positive integers, and b can be expressed in the form r/s where r and s are positive integers.
Then b - a = r/s - p/q = (qr - ps)/qs.
Now, since p, q, r and s are integers, then
by the closure of the set of integers under multiplications, qr, ps and qs are integers;
q and s are positive => qs is positive, and
by the closure of the set of integers under addition (and subtraction), qr - ps is an integer.
That is, b - a = (qr - ps)/qs is a ratio of two integers, where the denominator of the ratio is positive.
Wiki User
∙ 6y agoMost of the time yes, positive or negative whole numbers count as rational numbers. So do positive or negative fractions.
no example 2-3=-1 it can be positive: 3-2=1
The only generalisation posible is that it will always be a rational number. The product can be positive or negative; it can be a fraction or an integer, it can be larger or smaller.
No.A rational times an irrational is never rational. It is always irrational.
The product of two rational numbers is always a rational number.
No.
No; depends on the signs of the rational numbers.
Any positive number is always bigger than a negative number - whether they are rational or irrational.
No
A terminating or repeating decimal is always rational. Whether it is positive or negative makes no difference. So the answer is no it is not always rational, such as -1/pi
Most of the time yes, positive or negative whole numbers count as rational numbers. So do positive or negative fractions.
The square of a negative number is always positive. The square of -8 = 64, a rational number
no example 2-3=-1 it can be positive: 3-2=1
Yes, it is.
The absolute value is always positive.
The square root of any positive square number is always rational as for example the square root of 36 is 6 which is a rational number.
Such a sum is always rational.