waht is rational number Related: Number System- Rational Numbers & Real Numbers?

Question

waht is rational number Related:  Number System- Rational Numbers & Real Numbers?

Answer

Rational no. is written in p by q form where p and q are integers and q is not equals to 0.

Real numbers are rational no., natural no., whole no., integers and irrational numbers.

Answer

A number which can be expressed in the form of p q where Q is not equal to zero is called as a rational number

Answer

A number that can be expressed in the form of p/q where p and q are integers q is not equal to 0 is called a rational number .

Answer

Rational Numbers
Rational numbers are numbers that can be expressed as a ratio of two integers, where the denominator is not equal to zero. These numbers can be written in the form of a/b, where a and b are integers and b is not equal to zero. Rational numbers include fractions, decimals that either terminate or repeat, and integers.

Characteristics of Rational Numbers
- Rational numbers can be positive, negative, or zero.
- They can be expressed as fractions, decimals, or integers.
- Rational numbers can be added, subtracted, multiplied, and divided.
- When rational numbers are added or multiplied, the result is always a rational number.

Relationship between Rational Numbers and Real Numbers
Real numbers include all rational numbers, as well as irrational numbers. Irrational numbers cannot be expressed as a simple fraction, and their decimal representation goes on infinitely without repeating. Rational numbers are a subset of real numbers, as they can be expressed as terminating or repeating decimals.

Examples of Rational Numbers
- 2/3
- -5
- 0.25
- 7
In conclusion, rational numbers are an important part of the number system, as they include fractions, integers, and terminating or repeating decimals. They can be operated on using basic arithmetic operations and are a subset of real numbers. Understanding rational numbers is crucial for various mathematical calculations and applications.

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