Math, asked by anna00000, 7 hours ago

why do we need a set of rational numbers ?

Answers

Answered by oOINNOCENTBOYOo
0

Answer:

Explanation:

All subsets of real numbers were created to extend the mathematical operations we can perform on them.

First set was natural numbers (

N

) .

In this set only addition and multiplication could be done.

To make substraction possible people had to invent negative numbers and expand natural numbers to integer numbers (

Z

)

In this set multiplication, addition and substraction were possible but some division operatins could not be done.

To extend the range to all 4 basic operations (addition, substraction, multiplication and division) this set had to be extended to set of rational numbers (

Q

)

But even in this set of numbers not all operations were possible.

If we try to calculate the hypothenuse of an isosceles right triangle, whose catheti have length of

1

we get a number

2

which is an example of irrational number.

If we add rational and irrational numbers we get the whole set of real numbers (

R

)

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