A rational number.
Any rational number.
Irrational numbers, such as √2 or π, cannot be written as a fraction pq where p and q are integers and q is not equal to zero. These numbers cannot be expressed as a ratio of two integers and are non-repeating and non-terminating decimals.
fraction, a ratio of two integers p/q where q is not equal to zero.
Suppose p/q and r/s are rational numbers where p, q, r and s are integers and q, s are non-zero.Then p/q + r/s = ps/qs + qr/qs = (ps + qr)/qs.Since p, q, r, s are integers, then ps and qr are integers, and therefore (ps + qr) is an integer.q and s are non-zero integers and so qs is a non-zero integer.Consequently, (ps + qr)/qs is a ratio of two integers in which the denominator is non-zero. That is, the sum is rational.Also p/q * r/s = pr/qs.Since p, q, r, s are integers, then pr and qs are integers.q and s are non-zero integers so qs is a non-zero integer.Consequently, pr/qs is a ratio of two integers in which the denominator is non-zero. That is, the sum is rational.
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A rational number
ratio of two integers, p/q where q is not equal to zero.
a rational number
rational numbers
rational numbers
A rational number.
Any rational number.
Irrational numbers, such as √2 or π, cannot be written as a fraction pq where p and q are integers and q is not equal to zero. These numbers cannot be expressed as a ratio of two integers and are non-repeating and non-terminating decimals.
Undefined: You cannot divide by zero
Any rational number (by definition).
A rational number