Answer:

it is a valentine's day so....

Step-by-step EXPLANATION:

Need of Rational numbers:

In Mathematics, we FREQUENTLY come across simple equations to be solved. For example,

the equation

X + 2 = 13 —–(1)

is solved when x = 11, because this value of x satisfies the given equation. The solution

11 is a natural number. On the other hand, for the equation

x + 5 = 5 —–(2)

the solution gives the whole number 0 (zero). If we consider only natural numbers,

equation (2) cannot be solved. To solve equations like (2), we ADDED the number zero to

the collection of natural numbers and obtained the whole numbers. Even whole numbers

will not be sufficient to solve equations of type

x + 18 = 5—– (3)

Do you see ‘why’? We REQUIRE the number –13 which is not a whole number. This

led us to think of integers, (positive and negative). Note that the positive integers

correspond to natural numbers. One may think that we have enough numbers to solve all

simple equations with the available list of integers. Consider the equations