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Saturday, 9 July 2011

A Maths Trick for Square of a number

This article is about Maths tricks for finding square of a number.It is not tough task to find square of a number but how fast we compute its value is a major consideration.
In this article i will discuss about some tricks for easy computation.
A logo to manage squares:

Friends,

Problem 1: What is square of number 10001?
Solution: For this type of number which is start from 1 and end by 1 and zeroes in between.
step:- Write 1 at first and at end and makes double the zeroes.
Square of 10001 is=10000001

Problem 2: What is square of number 10101?
solution:
Step 1: For this type of problem count the numbers of 1's.
Step2: Write from 1 to (number of 1's) and then reverse upto again 1 occurs and placed zero in between every digit.
Ex. square of 10101=?
step 1:Count number of 1's=3
step 2:Write from 1 to 3 and zero in between and reverse upto again 1 occurs
102030201

Problem 3:How to calculate 42+52+(4*5)2?
solution:For this type of problem when two number are continuous and third in its multiplication then ans is square of one greater then third number.
Ex.4 is first number and 5 is second number and 4*5 is third number then we can write it as:
42+52+202=212
we can say that the ans is=212=441

Problem 4: How to calculate integers between square of two continuous numbers?
solution: Let two continuous numbers 6 and 7
Integers between 62 and 72=?
We can calculate it by just add these two numbers and subtract 1 i,s 6+7-1=12
36 37 38 39 40 41 42 43 44 45 46 47 48 49

Problem 5: how can we add series of type 1+3+5+7+9
solution:
STEP 1:Count numbers.
Step 2:Find mid number and calculate its square.
If number is odd it is easy to calculate mid and when number is even then find average of two mids.
Ex. Add 1+3+5+7+9
step 1: numbers are 5.
step 2: 5 is mid number so ans is 52=25
Ex2. When add 1+3+5+7+9+11=?
step 1: Numbers are 6.
step 2: Average of 5 and 7 is (5+7)/2=6 so ans is 62=36

2 comments:

  1. i think your blog general knowledge related.
    but u add why math trick......

    ReplyDelete
  2. I think u didn't read my blog description ....this blog is for fundamentals of every subjects for preparation for enterance test.I think now ur doubt is clear....

    ReplyDelete