how can you say that rational numbers satisfy associative property W.r.t."x" give an example
Answers
Answer:
associative property states that 3 or more numbers can be added, subtracted, or have a mathematical operation performed on it no matter how they are grouped.
Step-by-step explanation:
eg:
in case of addition. let a, b and c be rational numbers.
associative property of addition implies that:
a+(b+c)=(a+b)+c=(a+c)+b.......................1
let a= 1, b=2, and c=3. on substituting in eqn 1, we can conclude that,
6=6=6, hence associative property for addition in rational numbers reigns true.
in case of multiplication. let a, b and c be rational numbers.
associative property of multiplication implies that:
a x (b x c)=(a x b) x c=(a x c) x b.......................2
let a= 1, b=2, and c=3. on substituting in eqn 1, we can conclude that,
6=6=6,hence associative property for multiplication in rational numbers reigns true.
associative property is true in case of addition and multiplication, however, it is not true for subtraction and division, meaning grouping matters.