maths class 9 number system formulas
Answers
Answer:
Step-by-step explanation:
Natural Numbers N = {1,2,3,4,5..........}
It is the counting numbers
2 Whole number W= {0,1,2,3,4,5........}
It is the counting numbers + zero
3 Integers Z={...-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6...}
4 Positive integers Z+= {1,2,3,4,5........}
5 Negative integers Z-={...-7,-6,-5,-4,-3,-2,-1}
6 Rational Number A number is called rational if it can be expressed
in the form p/q where p and q are integers ( q>
0).
Example : 1⁄2 , 4/3 ,5/7 ,1 etc.
7 Irrational Number A number is called rational if it cannot be
expressed in the form p/q where p and q are
integers ( q> 0).
Example : etc
8. Real Numbers: All rational and all irrational number makes the
collection of real number. It is denoted by the
letter R
9 What is zero Zero number definition
Zero is a number used in mathematics to
describe no quantity or null quantity.It is also
used as placeholder digit in many numbers
The modern 0 symbol was invented in India in
the 6-th century, used later by the Persians and
Class 9
Important Formulas
Chapter 1 - Number System
Arabs and later in Europe.
Important facts about zero
1) Zero is a number but it is neither positive nor
negative number.
So it is not included in the set of positive number
nor negative numbers.
But it is included in the set of non-negative
numbers
2) Zero is an even number
3) Zero is not a prime nor a composite number.
It cannot be prime because it has an infinite
number of factors and cannot be composite
because it cannot be expressed by multiplying
prime numbers (0 must always be one of the
factors)