Is AB a rational number?

Since a and b are rational numbers, then a-b is also a rational number. However, depending on a and b, the result of a-b could possibly also be written as an integer.

What are the conditions for a number to be rational?

A rational number is said to be in the standard form, if its denominator is a positive integer and the numerator and denominator have no common factor other than 1. Two rational numbers with the same denominator can be added by adding their numerators, keeping with the same denominator.

What is the condition to say a B is a rational number?

A number is rational if we can write it as a fraction, where both denominator and numerator are integers and the denominator is a non-zero number.

What Cannot be a rational number?

A real number that is not rational is called irrational. Irrational numbers include √2, π, e, and φ. The decimal expansion of an irrational number continues without repeating. Since the set of rational numbers is countable, and the set of real numbers is uncountable, almost all real numbers are irrational.

Is 4.875 a rational number?

Explanation: To convert to a decimal, divide 8 into 7 and add 4. The correct answer is 4.875. An irrational number is a non-terminating non-repeating decimal. The only number that is irrational is 48 .

Is a rational number give reason?

A rational number is a number that can be in the form pq where p and q are integers and q is not equal to zero. And from this we can say that zero is a rational number.

Can you give an example of an integer which is not a rational number give reason for the choice of your answer?

The number in the form of p /q where p and q are integers and q is not equal to zero are called rational numbers. For ex – 2 , ¾ , – 7 , 0 , etc . On contrary to rational numbers they are also numbers known as irrational numbers.

What is the condition for which P q represent a rational number?

p/q is a rational number which q not equal to 0. If the decimal representation of p/q is terminating. The only condition on q is that: The value of q should be 2 or 5 or the multiple of them.

Is sin15 cos15 rational?

Given : Sin 15 , cos 15, sin 15 cos 75 all involves √3. Hence, the said nos. are irrational.

Why is not a rational number?

Non-terminating decimals are not rational numbers because they cannot be expressed in the form of a common fraction. The denominator of the common fraction used to express a rational number cannot be 0. All integers are rational numbers since the denominator of the common fraction can be 1.

Is it possible for a + B to be rational?

So if a is rational and b is irrational there is no way possible for a + b to be rational. There are absolutely no counterexamples. This last equation is invalid if a = 0, since then m = 0. Thanks for contributing an answer to Mathematics Stack Exchange!

Is it true that a B necessarily has to be irrational?

There are some similar questions, but not exactly this one. As, Zero is a rational number. So, by using the counterexample a = 0 and b = x ( x being an irrational number) we get a b = 0. Thus it is not true that a b necessarily has to be irrational.

What is an example of a rational number?

Rational Numbers. The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. Every rational number can be written as a fraction a/b, where a and b are integers. For example, 3 can be written as 3/1, -0.175 can be written as -7/40, and 1 1/6 can be written as 7/6.

What is the difference between rational numbers and integers?

Every rational number can be written as a fraction a/b, where a and b are integers. For example, 3 can be written as 3/1, -0.175 can be written as -7/40, and 1 1/6 can be written as 7/6. All natural numbers, whole numbers, and integers are rationals, but not all rational numbers are natural numbers, whole numbers, or integers.