This is anoter squaring trick ,this time for finding the square of numbers that are close to 100.

**Case 1 (Number between 100-109)**

Let us use 106 for example

The answer will be of this form

**1abcd**

To find what the rest of the numbers are do the following

**a) ** Find how much bigger than 100 the number is

**106-100= 6**

**b) ** Double this difference 6×2=12 and put this to positions ab

**112cd**

**c) ** Square this difference 6×6=36 and put this to positions cd

**11236**

Bellow you can see how it works for numbers between 100-109

**Case 2 (Number greater or equal to 110)**

Let us use 112 for example

To find what the rest of the numbers are do the following

a) Find how much bigger than 100 the number is

**112-100= 12**

b) Double this difference 12×2=24

**124cd**

c) Square this difference 12×12=144 and put this to positions cd

**124144**

d) Since we used 3 instead of 2 numbers for positions cd, we need to treat the extra number as a carry.

**124144 -> 124144-> 12544**

**12544 **is the answer

A few examples

**Case 3 (Number under 100)**

As the number is under 100 the form will be like that

**abcd**

To find what the rest of the numbers are do the following

a) Find how much bigger than 100 the number is

**97-100= -3**

b) Double this difference

**-3×2=-6 **

Subtract this number from 100 and put it to positions ab

**100+(-6)=94
94cd**

c) Square this difference (-3)x(-3)=09 and put this to positions cd

**9409**

A few examples