Basics of Multiplication | Multiplication Tricks | Multiplication of two consecutive Even/Odd Numbers

Two Consecutive Even or Odd number can be multiplied in a fraction of second. 
Want to know how ?

For this you should know squares of numbers.

Let us look at a simple Example.

Ex.  27 × 29 

Ex.  44 × 46 

Ex.  55 × 53 

Ex.  34 × 32 

Well if you calculate this by traditional method it will take little bit long duration of time. But with some logic and a knowledge of squares you will be able to calculate it's answers as 783, 2024, 2915 & 1088 respectively.

Isn't it interesting ? 

so let's start with the steps you should follow to calculate these types of products. 

Step 1 :- Calculate the square of the middle number. ( If you can remember it will increase your calculation speed) 

Step 2 :- Subtract 1 from the obtained result. This will be your answer.

Ex.  27 × 29

Step 1 :- We will calculate square of 28 which is 784.

Step 2 :- Subtract 1 from 784. 

Final Result  :- 783.

Ex.  44 × 46

Step 1 :- We will calculate square of middle no. (i.e 45)  which is 2025.

Step 2 :- Subtract 1 from 2025. 

Final Result  :- 2024.

Ex.  55 × 53

Step 1 :- We will calculate square of middle no. (i.e 54)  which is 2916.

Step 2 :- Subtract 1 from 2916. 

Final Result  :- 2915.

Ex.  34 × 32

Step 1 :- We will calculate square of middle no. (i.e 33)  which is 1089.

Step 2 :- Subtract 1 from 1089. 

Final Result  :- 1088.

 Logic :- This is based on the most popular squaring formula we have learnt in schooling.

(a + b)² × (a – b)² = a² – b²  

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