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Is the dfference of two positive rational number always positive plz help explain.?
Yes.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.
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Are rational numbers always integers?
Most of the time yes, positive or negative whole numbers count as rational numbers. So do positive or negative fractions.
Is the difference of two positive rational number always positive?
no example 2-3=-1 it can be positive: 3-2=1
When multiplying fraction by fraction the product will always be?
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.
Is the product of a rational number and irrational number always rational?
No.A rational times an irrational is never rational. It is always irrational.
Is the product of two rational numbers irrational?
The product of two rational numbers is always a rational number.
Is a rational number always a positive?
No.
Is the ratio of two rational numbers always positive?
No; depends on the signs of the rational numbers.
Which is larger a positive rational number or a negative rational number?
Any positive number is always bigger than a negative number - whether they are rational or irrational.
When adding two positive rational numbers will the sum always be zero?
No
Is a negative decimal always rational?
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
Are rational numbers always integers?
Most of the time yes, positive or negative whole numbers count as rational numbers. So do positive or negative fractions.
Is the square of -8 a rational number?
The square of a negative number is always positive. The square of -8 = 64, a rational number
Is the reciprocal of any positive or negative integer always a rational number?
Yes, it is.
Is the difference of two positive rational number always positive?
no example 2-3=-1 it can be positive: 3-2=1
What is absolute value of the opposite of a nonzero rational number?
The absolute value is always positive.
Are the square roots of all positive integers irrational If not give an example of the square root of a number that is a rational number?
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.
Is the sum of two rational numbers is it rational or irrational?
Such a sum is always rational.
