Rational Numbers in Real life by tutorciecle123


									               Rational Numbers in Real life
Rational Numbers in Real life

Rational numbers are also the real numbers but the only necessary condition is that they need
to be represented in the form of x/y. All the operations which can be performed on real
numbers like addition, subtraction, multiplication, and division can also be performed on
Rational Numbers.

Now let's discuss the importance and application of the rational numbers. I would like to tell
you one thing that utilization and involvement of the rational numbers is not limited. They are
used in almost all mathematical calculations. Every equation and expression involves the
rational numbers and their calculations.

Real world problems on rational numbers are those problems which represent a real life
situation and we need to solve them. It basically involves some equations and expressions
involving rational numbers.

Now to solve these problems we have to apply different operations and properties of the
rational numbers and then we need to further simplify our solution to obtain the required
answer. Few examples of real world problems on rational numbers which will help you to
understand the topic are given below
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They have the form a/b with a and b are integers and b not equal to zero.

Examples of numbers that are rational are:

2/3     5/2   1/4   2   -8/2   0

Now, why are 2 and 0 examples of such numbers?

It is because 2 and 0 can be written as 2/1 and 0/1

We can also write rational numbers as a decimals.

We do this by performing a quick division that is dividing the numerator by the denominator

For instance,

2/5 = 0.4     or

2/5 = 0.4000000 because you can continue division to keep getting zeros for the decimal
places after 4

The bar on top of 0 means that if we continue to perform long division, we will keep getting an
infinite number of zeros. Another way to convert 2/5 into a decimal is to notice that we can
multiply 5 by 20 and 2 by 20 to get 40/100 and 40/100 = 0.40.

Diving by 100 or any other power of 10 is a straightforward process.

If you are dividing by 10, just move the decimal point one place to the left.

If you are dividing by 100, just move the decimal point 2 places to the left.

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and so forth...

For 40/100, the decimal point is after 0 for 40.

Moving that two places to the left bring the decimal point right before the 4.

If we define Rational numbers, we say Rational numbers are all the set of numbers which can
take the form of p/q where p and q are the integers and q <> 0.

So we observe that rational numbers includes natural numbers, Whole numbers, integers and
even the fraction numbers.

Some of the examples of rational numbers will be ( 4) a natural number, ( -3) as an integer,
(2/5) as a fraction, 1.4 as a real number all satisfy the property of a rational number, so they
all are included in the set of Rational numbers.

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   Thank You


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