Real Numbers

Real numbers are the set of all rational and irrational numbers. They are represented on the number line and include all possible values of a quantity. Real numbers are a fundamental concept in mathematics and are used in various fields such as physics, engineering, and economics.

Rational Numbers

Rational numbers are numbers that can be expressed as a fraction of two integers. They can be positive, negative or zero. For example, 3/4, -1/2, and 0 are all rational numbers. Rational numbers can be represented on a number line and can be converted into decimal form.

Finding a Rational Number between 3/5 and 4/5

To find a rational number between 3/5 and 4/5, we can take the average of the two numbers.

(3/5 + 4/5)/2 = 7/10

Therefore, 7/10 is a rational number between 3/5 and 4/5.

Conclusion

Real numbers are the set of all rational and irrational numbers. Rational numbers are numbers that can be expressed as a fraction of two integers. To find a rational number between two given rational numbers, we can take their average. Real numbers are an essential concept in mathematics, and their applications can be seen in various fields.