Real number is a number which can be represented on number line .
example : 2 ,3 ,√2 ,22/7 etc
The number which we use real world to perform calculations in mathematics and physics is real number such as 10 kg, 8 m/s ,1.8 newtons
Types of real number
Real number includes natural number , whole number ,fraction , integers and irrational number
Natural number : All counting number are called Natural number.
Whole number : The collection of natural number with 0 is called Whole number.
Integers : The number without fraction is called Integers.it includes whole number and negative of natural number .
example; -∞……..-2,-1,0, 1,2,………..∞.
- Whole number ,natural number are subset of integers .
- Integers and fraction form a new set of number that is called rational number .
- Rational number and irrational number are called real number.
properties of real number
If a and b are two real number then,a+b=b+a or a×b=b×a.
so real number are commutative over addition and multiplication.
If a,b and c are real number then,a+(b+c)=(a+b)+c or a×(b×c)=(a×b)×c.
real number are associative over addition and multiplication.
If a,b, and c are real number then a×(b×c)=(a×b)+(a×c).
so,real number are distributive
check this article to know more about real number
What is not a real number
The number which cannot represent on number line is called non real number .it includes number which is square root of negative natural number like √-2 ,√-3,√-7 etc is called imaginary number.
Is pie a real number
yes,because we know the value of π is 3.14159265……..we can represent this value on the number line ,but this value cannot expressed in form of p/q so it is irrational number whereas 22/7 which is another value of pie is rational number because it is of form p/q .
Is 0 a real number
yes ,it is real number because
- It can be represented on number line .
- It can be written as 0/1 which is of form p/q .
What does R mean in real number
There are specific symbols for the collection (set) of numbers
For more Questions check this article