Class 9th *Ch-1 Number System* (Part_1) (*What is Rational Number?/ Is ZERO a rational number?*)

Types of Number Systems: 1. *Natural Numbers*: Positive integers, such as 1, 2, 3, ... 2. *Whole Numbers*: Non-negative integers, including 0, such as 0, 1, 2, 3, ... 3. *Integers*: Whole numbers, including negative numbers, such as ..., -3, -2, -1, 0, 1, 2, 3, ... 4. *Rational Numbers*: Numbers that can be expressed as the ratio of two integers, such as 3/4, 22/7, ... 5. *Irrational Numbers*: Numbers that cannot be expressed as the ratio of two integers, such as π, e, ... 6. *Real Numbers*: The set of all rational and irrational numbers, including decimals and fractions. 7. *Complex Numbers*: Numbers that have both real and imaginary parts, such as 3 + 4i. Number System Properties: 1. *Commutative Property*: The order of numbers does not change the result of an operation. 2. *Associative Property*: The order of operations does not change the result. 3. *Distributive Property*: Multiplication distributes over addition. 4. *Identity Property*: The existence of additive and multiplicative identities. Number System Operations: 1. *Addition*: Combining two or more numbers to get a total. 2. *Subtraction*: Finding the difference between two numbers. 3. *Multiplication*: Repeatedly adding a number to get a product. 4. *Division*: Sharing a number into equal parts. Applications of Number System: 1. *Science*: Number systems are used to measure and calculate quantities in physics, chemistry, and biology. 2. *Technology*: Number systems are used in computer programming, coding, and data analysis. 3. *Finance*: Number systems are used to calculate interest rates, investments, and financial transactions. 4. *Engineering*: Number systems are used to design, build, and optimize systems, structures, and processes. *is ZERO a rational number? *finding rational numbers between rationals. *what is a rational number? #share #maths #mathematics #exam #readystudygo #study #topic #class9th #ncert #rational #numbers