Wednesday, 10 May 2017

Tricks to Solve Addition and Subtraction Problems for Integers and Non-Integers

In this post, we will discuss tricks to solve addition and subtraction problems for integer and non-integers, without the use of pen and paper for IBPS PO and SSC CGL Exam. 
Addition and Subtraction Problems



No matter if it is SBI PO, IBPS PO or SSC CGL Exam or any Competitive exam, addition and subtraction are the basic calculations that one needs to do while solving a problem. Solving addition and subtraction problems through the conventional method is time-consuming. It is a known fact that more than accuracy, speed is a major factor behind one's success in IBPS PO and SSC CGL Exam.

In this post, we will discuss the smart method to solve addition and subtraction problems without the use of pen and paper which will help you to solve the question in a quickly.

Why it is important to calculate without  Pen and Paper?

Addition and subtraction, not only helps you to solve addition and subtraction problems but they also help you to solve the various different category of problems. One needs to speed up his or her calculations to solve problems in less time. So, in exams such as SBI PO, IBPS PO and SSC CGL Exam, it becomes important to calculate the sum or difference of two given numbers in the least time. 

Conventional Method to solve addition and subtraction problem

Conventional method to find the sum of two numbers

Question: What is the sum of 1529 and 614?

Solution:
As soon as we read this question, we take a pen and paper, write down the two numbers, one below the other and start adding the digits from the units place to get the required solution. As given below,

Addition and Subtraction Problems
Therefore, the sum of 1529 and 614 is 2143

Conventional method to find the difference between two numbers

Question: What is the difference between 972 and 563?

Solution:
Step 1:
As soon as we read the question, we take a pen and paper write the higher number on the top and the other number below and start subtracting from the units place to get the required solution. As given below,
Addition and Subtraction Problems
Therefore, the difference between 972 and 563 is 409.

Tricks to solve Addition and Subtraction Problems
During the examination, every single second counts. Solving addition and subtraction problems through conventional method consumes more than 15 seconds, as the first few seconds are taken to write the numbers on the sheet of paper. So, learn this simple addition and subtraction trick to save a lot of time while solving addition and subtraction problems in IBPS PO and SSC CGL Exam.

Question: What is the sum of 1529 and 614?

Solution:
Step 1:
Divide the number in terms of hundreds, tens and ones.
1529 like 1500 + 20 + 9
614  like 600 + 10 + 4

Step 2:
Then add-
1500 + 20 + 9 + 600 + 10 + 4
2100 + 30 + 13
= 2143
Addition and Subtraction Problems
Therefore, the sum of 1529 and 614 is 2143.

Breaking numbers based on their placement, will help you add numbers faster and thus help you solve the addition and subtraction problem quickly.

Question: What is the difference between 972 and 563?

Solution:
Step 1:
Divide the Number in terms of hundreds, tens and ones.
972 as 900 + 72
562 as 400 + 62

Step 2:
Then subtract 900 - 400 and 72 - 62 and then add the difference of both the numbers as given below,
Addition and Subtraction Problems

Therefore, the difference between 972 and 562 is 409.
Addition and Subtraction Problems
An example of Addition and Subtraction Problem

Question: (6214 + 3689 + 1476) - (5213 + 1365 + 2038) = ?

Solution:
Step 1:
We need to first add all the units place 4 + 9 + 6 - 3 - 5 - 8 = 3
Addition and Subtraction Problems
Step 2: 
Then add all the digits in tens place 1 + 8 + 7 - 1 - 6 - 3 = 6
Addition and Subtraction Problems
Step 3: 
Then add all the digits in hundreds place 2 + 6 + 4 - 2 - 3 - 0 = 7
Addition and Subtraction Problems
Step 4: 
Then add all the digits in thousand place  6 + 3 + 1 - 5 - 1 - 2 = 2
Addition and Subtraction Problems

Step 5:
By merging all the answers we get 3672.

Therefore, 
(6214 + 3689 + 1476) - (5213 + 1365 + 2038) = 3672

Though this method appears to be lengthy but this is the simplest and the quickest way to solve a question. All the calculations can be done in mind with the use of paper and pen. It is a simple trick. If you practice this simple trick then you will be able to solve the questions within few seconds. 


An example of an Addition and Subtraction of Non-Integers 

Question: 3.479 + 2.8143 - 6.21 + 8.32

Conventional Method
Solution:
Step 1: 
As soon as we see this question, we take a pen and paper and write down all the numbers one below the other and start to calculate from right to left as given below-
Addition and Subtraction Problems
Though the answer is correct but it takes a lot of time while solving the question. The question can be solved in a simpler way by using the smart method which will help you to save a lot of time while solving a question. 

Smart method to solve Addition and Subtraction problems

Step 1:
To solve the problem in a quick way for IBPS PO and SSC CGL Exam, first, we need to balance the numbers by adding zeros at the end.

Step 2:
0 + 3 - 0 + 0 = 3


Addition and Subtraction Problems
Step 3:
9 + 4 - 0 + 0  = 3
Addition and Subtraction Problems
Step 4:
7 + 1 - 1 + 2 = 0 (as one is carried forward)
Addition and Subtraction Problems
Step 5:
4 + 8 - 2 + 3 = 4 (as one is carried forward)
Step 6: 
Now add all the integer numbers 3 + 2 - 6 + 8 = 8 ( as one is carried forward)
Addition and Subtraction Problems


Step 7:
By merging all the numbers we get 8.4033

Therefore, 3.479 + 2.8143 - 6.21 + 8.32 = 8.4033

Do write down in the comment section about how this simple trick helped you to improve your calculation speed.

Stay tuned for our next post. 
Addition and Subtraction Problems
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