Squares 1 to 1,000 Tricks
It is easy to determine a number’s square. We should divide the provided integer independently in order to find its square.
For example: –
The square of 7 is 7 is multiplied by 7 i.e. 7× 7= (7)2 =49.
We can easily multiply single-digit numbers by themselves to find their square. We may easily find the square of a number by recalling the tables from 1 to 10.
Number |
Square of Number |
(1)2 |
1 |
(2)2 |
4 |
(3)2 |
9 |
(4)2 |
16 |
(5)2 |
25 |
(6)2 |
36 |
(7)2 |
49 |
(8)2 |
64 |
(9)2 |
81 |
(10)2 |
100 |
However, it could be a little challenging to find the square of a two-digit number. By multiplying a two-digit number, we cannot easily get its square.
Here we are going to learn how to find the square of a natural number.
Squaring the number, we may find certain patterns. If squared have 5 at their units place. It have its one pattern.
Square of number that ends in 5
Steps: –
- If 5 is there in the end of the figure than we have to take Square of 5.
- Think of after number of first digit what is before 5.
- Multiply first number and its after number.
- Write down its answer followed by Square of 5.
1.) Let us just examine this using an illustration now: –
(25)2
5 is there in the end of the figure than we have to take Square of 5.
(5)2 = 5× 5 = 25
Think of after number of first digit what is before 5.
Multiply first number and its after number.
So ,3 is after number of 2
3× 2 = 6
Write down its answer followed by Square of 5.
Answer is 625.
2) (35)2
5 is there in the end of the figure than we have to take Square of 5.
(5)2 = 5× 5 = 25
Think of after number of first digit what is before 5.
Multiply first number and its after number.
So ,4 is after number of 3
4× 3 = 12
Write down its answer followed by Square of 5.
Answer is 1225.
3) (85)2
5 is there in the end of the figure than we have to take Square of 5.
(5)2 = 5× 5 = 25
Think of after number of first digit what is before 5.
Multiply first number and its after number.
So ,9 is after number of 8
9× 8 = 72
Write down its answer followed by Square of 5.
Answer is 7225.
4.) (95)2
5 is there in the end of the figure than we have to take Square of 5.
(5)2 = 5× 5 = 25
Think of after number of first digit what is before 5.
Multiply first number and its after number.
So ,10 is after number of 9
10× 9 = 90
Write down its answer followed by Square of 5.
Answer is 9025.
Let’s see Square of other number that is not end with 5
1) (12)2
In this Square we have to see how many numbers are there.
There are 3 numbers, that is 1,2, and 2 of Square.
We first take the Square of last digit of the figure
That is 2× 2 = 4
Square of first digit of the figure
That is 1× 1 = 1
After this we Multiply all the three digits we see in Square
That is 1×2× 2 = 4,thisfigure will come in the middle of the Square of first and last number.
So answer is 144.
2) (23)2
In this Square we have to see how many numbers are there.
There are 3 numbers ,that is 2,3, and 2 of Square.
We first take the Square of last digit of the figure
That is 3 × 3 = 9
Than , Square of first digit of the figure
That is 2× 2 × = 4
After this we Multiply all the three digits we see in Square
That is 2× 2× 3 = 12,this figure will come in the middle of the Square of first and last number.
First digit is 4, middle figure is 12, last digit is 9
Now here middle number is of two digits, so what we have to do is
As we are getting 12 in the middle take 2 as it is and 1 will added in the left side digit.
4+1= 5
So answer is 529.
3) (42)2
In this Square we have to see how many numbers are there.
There are 3 numbers ,that is 4,2, and 2 of Square.
We first take the Square of last digit of the figure
That is 2 × 2 = 4
Then , Square of first digit of the figure
That is 4× 4 × = 16
After this we Multiply all the three digits we see in Square
That is 4× 2× 2 = 16,this figure will come in the middle of the Square of first and last number.
First digit is 16, middle figure is 16, last digit is 4
Now here middle number is of two digits, so what we have to do is
As we are getting 16 in the middle take 6 as it is and 1 will added in the left side digit .
16 + 1 = 17
So answer is 1764.