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Squares 1 to 100

Squares 1 to 100 is the list of squares of all numbers from 1 to 100. The values of squares from 1 to 100 range from 1 to 10000. Remembering these values will help students to simplify the time-consuming math equations quickly. The square 1 to 100 in the exponential form is expressed as (x)².

Square 1 to 100:

Exponent form: (x)²
Highest Value: 100² = 10000
Lowest Value: 1² = 1

1.	Square 1 to 100
2.	Square 1 to 100 PDF
3.	How to Calculate Square 1 to 100?
4.	FAQs

Squares 1 to 100 Chart

Value of Squares from 1 to 100

Squares from 1 to 100

Learning squares 1 to 100 can help students to recognize all perfect squares up to 5 digits and approximate a square root by interpolating between known squares. The values of squares 1 to 100 are listed in the table below.

List of All Squares from 1 to 100
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
21² = 441	22² = 484	23² = 529	24² = 576	25² = 625
26² = 676	27² = 729	28² = 784	29² = 841	30² = 900
31² = 961	32² = 1024	33² = 1089	34² = 1156	35² = 1225
36² = 1296	37² = 1369	38² = 1444	39² = 1521	40² = 1600
41² = 1681	42² = 1764	43² = 1849	44² = 1936	45² = 2025
46² = 2116	47² = 2209	48² = 2304	49² = 2401	50² = 2500
51² = 2601	52² = 2704	53² = 2809	54² = 2916	55² = 3025
56² = 3136	57² = 3249	58² = 3364	59² = 3481	60² = 3600
61² = 3721	62² = 3844	63² = 3969	64² = 4096	65² = 4225
66² = 4356	67² = 4489	68² = 4624	69² = 4761	70² = 4900
71² = 5041	72² = 5184	73² = 5329	74² = 5476	75² = 5625
76² = 5776	77² = 5929	78² = 6084	79² = 6241	80² = 6400
81² = 6561	82² = 6724	83² = 6889	84² = 7056	85² = 7225
86² = 7396	87² = 7569	88² = 7744	89² = 7921	90² = 8100
91² = 8281	92² = 8464	93² = 8649	94² = 8836	95² = 9025
96² = 9216	97² = 9409	98² = 9604	99² = 9801	100² = 10000

☛ Squares 1 to 100 PDF

The students are advised to memorize these squares 1 to 100 values thoroughly for faster math calculations.

Square 1 to 100 - Even Numbers

The table below shows the values of squares from 1 to 100 for even numbers.

2² = 4	4² = 16	6² = 36	8² = 64	10² = 100
12² = 144	14² = 196	16² = 256	18² = 324	20² = 400
22² = 484	24² = 576	26² = 676	28² = 784	30² = 900
32² = 1024	34² = 1156	36² = 1296	38² = 1444	40² = 1600
42² = 1764	44² = 1936	46² = 2116	48² = 2304	50² = 2500
52² = 2704	54² = 2916	56² = 3136	58² = 3364	60² = 3600
62² = 3844	64² = 4096	66² = 4356	68² = 4624	70² = 4900
72² = 5184	74² = 5476	76² = 5776	78² = 6084	80² = 6400
82² = 6724	84² = 7056	86² = 7396	88² = 7744	90² = 8100
92² = 8464	94² = 8836	96² = 9216	98² = 9604	100² = 10000

Square 1 to 100 - Odd Numbers

The table below shows the values of squares from 1 to 100 for odd numbers.

1² = 1	3² = 9	5² = 25	7² = 49	9² = 81
11² = 121	13² = 169	15² = 225	17² = 289	19² = 361
21² = 441	23² = 529	25² = 625	27² = 729	29² = 841
31² = 961	33² = 1089	35² = 1225	37² = 1369	39² = 1521
41² = 1681	43² = 1849	45² = 2025	47² = 2209	49² = 2401
51² = 2601	53² = 2809	55² = 3025	57² = 3249	59² = 3481
61² = 3721	63² = 3969	65² = 4225	67² = 4489	69² = 4761
71² = 5041	73² = 5329	75² = 5625	77² = 5929	79² = 6241
81² = 6561	83² = 6889	85² = 7225	87² = 7569	89² = 7921
91² = 8281	93² = 8649	95² = 9025	97² = 9409	99² = 9801

How to Calculate the Values of Squares 1 to 100?

In order to calculate the squares from 1 to 100, we can use any one of the following methods:

Method 1: Multiplication by itself:

In this method, the number is multiplied by itself and the resultant product gives us the square of that number. For example, the square of 8 = 8 × 8 = 64. Here, the resultant product “64” gives us the square of the number “8.” This method works well for smaller numbers.

Method 2: Using basic algebraic identities: For example, to find the square of 49, we can express 49 as:

Option 1: (40 + 9)
Option 2: (50 - 1)

In the next step, we use the basic algebraic identity formula and get Option 1: [40² + 9² + (2 × 40 × 9)] or Option 2: [50² + 1² - (2 × 50 × 1)]. Solving the expressions further, we get Option 1: (1600 + 81 + 720) = 2401 or Option 2: (2500 + 1 - 100) = 2401.

Solved Examples on Square 1 to 100

Example 1: If a circular tabletop has a radius of 50 inches. Find the area of the tabletop in sq. inches? [Use π = 3.14]

Solution:

Area of circular tabletop = πr² = π (50)²

Using values from square 1 to 100 chart;

i.e. A = 2500π

Therefore, the area of the tabletop = 7850 inches².
Example 2: Find the area of a square window whose side length is 34 inches.

Solution:

Area of square window (A) = Side²

i.e. A = 34² = 1156

Therefore, the area of a square window is 1156 inches².
Example 3: Two square wooden planks have sides 30m and 42m respectively. Find the combined area of both the wooden planks?

Solution:

Area of wooden plank = (side)²

⇒ Area of 1st wooden plank = 30² = 900 m²

⇒ Area of 2nd wooden plank = 42²= 1764 m²

Therefore, the combined area of wooden planks is 900 + 1764 = 2664 m²
Example 4: Find the sum of the first 100 odd numbers.

Solution:

The sum of first n odd numbers is given as n²

⇒ Sum of first 100 odd numbers (n) = 100²

Using values from square 1 to 100 chart, the sum of first 100 odd numbers = 100² = 10000

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FAQs on Square 1 to 100

What is the Value of Squares 1 to 100?

The square 1 to 100 is the list of numbers obtained by multiplying an integer two times (z × z). It will always be a positive number. From 1 to 100, the value of squares of numbers 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98 will be even and the value of squares of numbers 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99 will be odd.

What are the Methods to Calculate Squares from 1 to 100?

We can calculate the square of a number by using the a² + b² + 2ab formula. For example (12)² can be calculated by splitting 12 into 10 and 2. Other methods that can be used to calculate squares from 1 to 100:

Finding Square by Column Method
Finding Squares by Diagonal Method

If you take Squares from 1 to 100, how many of them will be Even Numbers?

The even numbers between 1 to 100 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98. 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, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98 will be even.

Using Squares 1 to 100 Chart, find the value of 100 plus 70 Square plus 50 Square.

The value of 70² is 4900 and 50² is 2500. So, 100 + 70² + 50² = 7500. Hence, the 100 plus 70 square plus 50 Square is 7500.

How Many Numbers in Squares 1 to 100 are Odd?

The odd numbers between 1 to 100 are 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99. 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, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59, 61, 63, 65, 67, 69, 71, 73, 75, 77, 79, 81, 83, 85, 87, 89, 91, 93, 95, 97, 99 will be odd.

What is the Sum of all Perfect Squares from 1 to 100?

The sum of all perfect squares from 1 to 100 is 321 i.e. 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 = 385

What Values of Squares from 1 to 100 are Between 30 and 50?

The values of squares 1 to 100 between 30 and 50 are 6² (36) and 7² (49).

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