What is the sum of any rational number?

What is the sum of any rational number?

The sum of any rational number and any irrational number will always be an irrational number. This allows us to quickly conclude that ½+√2 is irrational.

What is the sum of two opposite rational numbers?

Answer: sum of two opposite rational number is rational number.

What is the opposite of each rational number?

irrational numbers
The opposite of rational numbers are irrational numbers. In simple terms, irrational numbers are real numbers that can’t be written as a simple fraction like 6/1.

What is the sum of the rational numbers and?

The sum of a rational number and a rational number is rational. The sum of a rational number and an irrational number is irrational.

What is the sum of 2 rational numbers?

“The sum of two rational numbers is rational.” So, adding two rationals is the same as adding two such fractions, which will result in another fraction of this same form since integers are closed under addition and multiplication. Thus, adding two rational numbers produces another rational number.

Is the sum of rational numbers rational?

The sum of two rational numbers is rational. Here is one way to explain why it is true: Any two rational numbers can be written and , where are integers, and and are not zero. Multiplying or adding two integers always gives an integer, so we know that and are all integers.

What is the sum of any rational number and its opposite and why?

The sum of a number and its opposite is always zero.

What rational number is the opposite of 8?

The opposite reciprocal of 8 would be -1/8. The fraction that is equal to the whole number 8 would be 8/1.

What is rational sum?

“The sum of two rational numbers is rational.” By definition, a rational number can be expressed as a fraction with integer values in the numerator and denominator (denominator not zero).