Q. Give basic Diffrence between Integers and Rational Numbers?

Ans.

Integers

The integers are positive and negative whole numbers.

The integers are closed under addition, multiplication, and (finally!) subtraction.

Rational Numbers:

Any number which can be represented as a fraction (in other words, as a ratio of integers) is called a rational number. Rational numbers can be positive or negative. They can also be integers, because (for example) the ratio 3/1 is the same as the integer 3. Here are some examples of rational numbers:

3, 1/2, -4/3, 0, -12, 10/100, 1/10

Notice that there are many different ways to write a rational number as a fraction. For example, 10/100 is the same number as 1/10, but written differently.

Since every fraction (ratio of integers) is a rational number and every rational number can be written as a fraction, the terms "fraction" and "rational number" are often used synonymously.

Rational numbers are closed under addition, subtraction, multiplication, and division.