Commutative property of rational number, the number is said to be a rational number if it can be written as {x such that p/q ∈ R and q ≠ 0}.a and b are two commutative number. If a= 2, b= 12
(1) addition of commutative number
a + b = b + a
2 + 12= 12+2
14 =14 verify addition of commutative number
(2) multiplication of commutative number
a × b = b × a
2 × 12 = 12 × 2
24 = 24
Verify multiplication of commutative number.
EXAMPLE OF RATIONAL NUMBER:
(i) 1 can be written as 1/1 therefore 1 is a rational number.
(ii) 2 is a rational number, 2 can be written as 2/1.
(iii) 3 is a rational number, 3 can be written as 3/1.
All perfect and complete number is called a rational number
and fractional terminating number is also called rational number.
EXAMPLE :
(1) o.5 is called a rational number, it can be written in the form 1/2.
(2) 1.5 is a rational number. 1.5 can be written in the form 15/10.
(3) 0.3333333…… Is a terminating rational number, can be written in the form 3/10.
NOTE:
(i)commutative property of rational number, addition, multiplication, hold and
satisfy on these operations.
(ii) commutative property of rational, subtraction and division does not
and satisfy on these operations.
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