"Published in Newark, California, USA"
How do you square a two or a three digit number without using a calculator in a shorter way and faster? Well, let's consider first the squaring of a two digit number. Let's have this one:
(32)2
By usual method,
3 2
x 3 2
-------------------
1 6 4
9 6
-------------------
1 0 2 4
Now, let's consider the better way:
Next, let's get the middle number:
Therefore, the answer is 1024.
There's another way for squaring a two digit number that ends with 5. Let's consider this one:
(65)2
Here's the technique, square the last digit, which is 5 as follows:
____25
Next, multiply the next digit by its consecutive number. In this case, 7 is the next number to 6. Therefore, 6 x 7 = 42. Your final answer is: 4225
Now, let's consider the squaring of a three digit number. let's have this one:
(123)2
By usual method,
1 2 3
x 1 2 3
--------------------
1
1 3 6 9
2 4 6
1 2 3
---------------------
1 5 1 2 9
Now, let's consider the better way:
Next, let's get the other numbers:
Add all the numbers in each lines:
Therefore, the answer is 15129.