Square 1 to 20
Square 1 to 20 is the list of squares of all the numbers from 1 to 20. The value of squares from 1 to 20 ranges from 1 to 400. Memorizing these values will help students to simplify the time-consuming equations quickly. The Square 1 to 20 in the exponential form is expressed as (x)2.
Square 1 to 20:
- Exponent form: (x)2
- Highest Value: 202 = 400
- Lowest Value: 12 = 1
| 1. | Square 1 to 20 |
| 2. | Square 1 to 20 PDF |
| 3. | How to Calculate Square 1 to 20? |
| 4. | FAQs |
Squares 1 to 20 Chart
Squares from 1 to 20
Learning squares 1 to 20 can help students to recognize all perfect squares from 1 to 400 and approximate a square root by interpolating between known squares. The values of squares 1 to 20 are listed in the table below.
|
List of All Squares from 1 to 20 |
|
|---|---|
|
12 = 1 |
22 = 4 |
|
32 = 9 |
42 = 16 |
|
52 = 25 |
62 = 36 |
|
72 = 49 |
82 = 64 |
|
92 = 81 |
102 = 100 |
|
112 = 121 |
122 = 144 |
|
132 = 169 |
142 = 196 |
|
152 = 225 |
162 = 256 |
|
172 = 289 |
182 = 324 |
|
192 = 361 |
202 = 400 |
The students are advised to memorize these squares 1 to 20 values thoroughly for faster math calculations.
Square 1 to 20 - Even Numbers
The table below shows the values of squares 1 to 20 for even numbers.
|
22 = 4 |
42 = 16 |
|
62 = 36 |
82 = 64 |
|
102 = 100 |
122 = 144 |
|
142 = 196 |
162 = 256 |
|
182 = 324 |
202 = 400 |
Square 1 to 20 - Odd Numbers
The table below shows the values of 1 to 20 square for odd numbers.
|
12 = 1 |
32 = 9 |
|
52 = 25 |
72 = 49 |
|
92 = 81 |
112 = 121 |
|
132 = 169 |
152 = 225 |
|
172 = 289 |
192 = 361 |
How to Calculate the Values of Squares 1 to 20?
In order to calculate the squares from 1 to 20, we can use any one of the following methods:
Method 1: Multiplication by itself: For example, the square of 11 = 11 × 11 = 121. Here, the resultant product “121” gives us the square of the number “11.”
Method 2: Using basic algebraic identities: For example, to find the square of 18, we can express 18 as:
- (10 + 8)
- (20 - 2)
In the next step, we use the basic algebraic identity formula and get Option 1: [10² + 8² + (2 × 10 × 8)] or Option 2: [20² + 2² - (2 × 20 × 2)]. Solving the expressions further, we get Option 1: (100 + 64 + 160) = 324 or Option 2: (400 + 4 - 80) = 324.
FAQs on Square 1 to 20
What is the Value of Square 1 to 20?
The value of square 1 to 20 is the list of numbers obtained by multiplying an integer (1 - 20) by itself. It will always be a positive number. Between 1 to 20, the numbers 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 are even numbers and 1, 3, 5, 7, 9, 11, 13, 15, 17, 19 are odd numbers.
What are the Methods to Calculate Squares from 1 to 20?
We can calculate the square of a number by using the a² + b² + 2ab formula. For example (17)² can be calculated by splitting 17 into 10 and 7. Other methods that can be used to calculate squares from 1 to 20:
- Finding Square by Column Method
- Finding Squares by Diagonal Method
If You Take Squares from 1 to 20, How Many of Them Will be Even Numbers?
The even numbers between 1 to 20 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20. Since the squares of even numbers are always even. Therefore, the value of squares of numbers 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 will be even.
Using Squares 1 to 20 Chart, Find the Value of 1 Plus 5 Square Plus 7 Square
The value of 5² is 25 and 7² is 49. So, 1 + 5² + 7² = 75. Hence, the value of 1 plus 5 square plus 7 square is 75.
How Many Numbers in Squares 1 to 20 are Odd?
The odd numbers between 1 to 20 are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19. Since the squares of odd numbers are always odd. Therefore, the value of squares of numbers 1, 3, 5, 7, 9, 11, 13, 15, 17, 19 will be odd.
What is the Sum of all Perfect Squares from 1 to 20?
The sum of all perfect squares from 1 to 20 is 30 i.e. 1 + 4 + 9 + 16 = 30.
What Values of Squares from 1 to 20 are Between 1 and 50?
The values of squares 1 to 20 between 1 and 50 are 1² (1), 2² (4), 3² (9), 4² (16), 5² (25), 6² (36), and 7² (49).