3 is rational. Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.
-3 is a rational number
-3 is a rational number
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
1) Adding an irrational number and a rational number will always give you an irrational number. 2) Multiplying an irrational number by a non-zero rational number will always give you an irrational number.
It is an integer. All integers are rational but not irrational. All rational and irrational numbers are real numbers.
It is a rational number as 9
Rational
No. 3 = 3/1 which is of the form a/b (with a & b integers) which is a rational number
100/3 is a rational number
It is a rational number.
Sqrt(2) is irrational. Multiply by sqrt(4.5). Result is 3 which is rational.
Let `a` be a rational number and `b` be an irrational number,assume that the sum is rational. 1.a +b =c Where a and c are rational and b is irrational. 2.b=c-a Subtracting the same number a from each side. 3.b is irrational c-a is a rational number we arrived at a contradiction. So the sum is an irrational number.