Simplification

Simplification:

Simplification is the process of reducing or simplifies the given problem.We come across various questions on simplification,the most common one is How to simplify? The answer to this is very simple and is given below:

Simplification is done by addition, subtraction operations. Let us see about work simplification.

Example Problems for Work Simplification:By using the following examples for work simplification we can get the idea about work simplification.

Example 1: Simplify [(3x+9)/(3)]

Solution:

Given is [(3x+9)/(3)]

Rearrange the given: [((3x)/3) + (9/3)]

==> x +3 (divided by 3)

The given problem has the same denominators. So we can split the numerator as two fractions after that we performed the common division operation on both fractions.

Answer: x + 3.

Example 2: Simplify [(49x^2 + 35x^2) /(7x)]

Solution:

Given [(49x^2 + 35x^2) /(7x)]

Split the numerator because both the 49x2 and 35x2 has the same common factor as 7x.

==> [((49x^2 )/(7x)) + ((35x^2 )/(7x))]

==> 7x + 5x (divided by 7x)

Answer: 7x + 5x

Example 3: Simplify [sqrt(80)]

Solution:

Given [sqrt(80)]

We can simplify the given by many ways.

First split the given terms as 40 x 2.

Again split it as 5 x 2 x 2 x2 x 2.

We can form the above as 5 x 4 x 4.

Therefore, the simplification of [sqrt(80)] is 5 [sqrt(4)] .

Answer: 5 [sqrt(4)] .

Example 4: Simplify 2.52+10.70+0.98+0.13

Solution:

Given 2.52+10.7+0.98+0.13

The given numbers after decimal points are equal so we just add the numbers as usual.

Therefore, answer is 14.33

Answer: 14.33

Example 5: Simplify 58.52 - 6.71 + 0.25 -40.31

Solution:

Given 58.52 - 6.71 + 0.25 -40.31

The given numbers decimal points are equal so we can proceed our simplification process.

Step1: First add the negative sign numbers

(-6.71) + (-40.31) = - 47.02

Step 2: Add the positive sign numbers.

58.52 + 0.25 = 58.77

Step 3: simplify the final values of step 1 & 2.

58.77 – 47.02 = 11.75

Answer: 11.75

Example 6: Simplify -96.34 – 0.234 -22.111 – 61.345

Solution:

Given -96.34 – 0.234 -22.111 – 61.345

Given all terms are negative numbers, so we can add the all numbers.

But the decimal position not even.

We can write -96.34 as -93.340

Now add,

(-96.340) + (-0.234) + (-22.111) + (-61.345) = -180.03

Answer: -180.03

Hope you like the above example of Simplification.Please leave your comments, if you have any doubts.