A rational number is a real number that can be expressed as a ratio of two integers; an irrational number cannot be so expressed.
Yes.
No, it is always irrational.
A decimal rational number can be expressed as a fraction A decimal irrational number can not be expressed as a fraction
The sum of a rational and an irrational number is always irrational. Here is a brief proof:Let a be a rational number and b be an irrational number, and c = a + b their sum. By way of contradiction, suppose c is also rational. Then we can write b = c - a. But since c and a are both rational, so is their difference, and this means that bis rational as well. But we already said that b is an irrational number. This is a contradiction, and hence the original assumption was false. Namely, the sum c must be an irrational number.
Irrational.
Yes.
There is no number which can be rational and irrational so there is no point in asking "how".
No, it is always irrational.
10.01 is Rational. IRRATIONAL are those decimals, which recur to infinity and there is NO regular order in the decimal digits. pi = 3.141592..... is Irrational But 3.333333..... is rational , because the decimal digits are in a regular order. Definitely an irrational number cannot be converted into a rational number/ratio/fraction/quotient. So 10.01 is rational because it can be converted to a ratio/fraction/quotient of 10 1/100 or 1001/100
-- There's an infinite number of rational numbers. -- There's an infinite number of irrational numbers. -- There are more irrational numbers than rational numbers. -- The difference between the number of irrational numbers and the number of rational numbers is infinite.
rational and irrational
A decimal rational number can be expressed as a fraction A decimal irrational number can not be expressed as a fraction
Rational
It is a rational number.
The sum of a rational and an irrational number is always irrational. Here is a brief proof:Let a be a rational number and b be an irrational number, and c = a + b their sum. By way of contradiction, suppose c is also rational. Then we can write b = c - a. But since c and a are both rational, so is their difference, and this means that bis rational as well. But we already said that b is an irrational number. This is a contradiction, and hence the original assumption was false. Namely, the sum c must be an irrational number.
is 34.54 and irrational or rational. number
Irrational.