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Last updated on May 30th, 2025

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Square of 202

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The product of multiplying an integer by itself is the square of a number. Square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 202.

Square of 202 for Omani Students
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What is the Square of 202

The square of a number is the product of the number itself.

 

The square of 202 is 202 × 202.

 

The square of a number always ends in 0, 1, 4, 5, 6, or 9.

 

We write it in math as 202², where 202 is the base and 2 is the exponent.

 

The square of a positive and a negative number is always positive.

 

For example, 5² = 25; -5² = 25.

 

The square of 202 is 202 × 202 = 40,804.

 

Square of 202 in exponential form: 202²

 

Square of 202 in arithmetic form: 202 × 202

square of 202

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How to Calculate the Value of Square of 202

The square of a number is multiplying the number by itself. So let’s learn how to find the square of a number. These are the common methods used to find the square of a number.

 

  • By Multiplication Method
     
  • Using a Formula
     
  • Using a Calculator
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By the Multiplication method

In this method, we will multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 202.

 

Step 1: Identify the number. Here, the number is 202.

 

Step 2: Multiplying the number by itself, we get, 202 × 202 = 40,804.

 

The square of 202 is 40,804.

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Using a Formula (a²)

In this method, the formula, a² is used to find the square of the number. Where a is the number.

 

Step 1: Understanding the equation Square of a number = a² a² = a × a

 

Step 2: Identifying the number and substituting the value in the equation.

 

Here, ‘a’ is 202.

 

So: 202² = 202 × 202 = 40,804

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By Using a Calculator

Using a calculator to find the square of a number is the easiest method. Let’s learn how to use a calculator to find the square of 202.

 

Step 1: Enter the number in the calculator Enter 202 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button (×) That is 202 × 202

 

Step 3: Press the equal to button to find the answer

 

Here, the square of 202 is 40,804.

 

Tips and Tricks for the Square of 202

 

Tips and tricks make it easy for students to understand and learn the square of a number. To master the square of a number, these tips and tricks will help students.

 

  • The square of an even number is always an even number. For example, 6² = 36
     
  • The square of an odd number is always an odd number. For example, 5² = 25
     
  • The last digit of the square of a number is always 0, 1, 4, 5, 6, or 9.
     
  • If the square root of a number is a fraction or a decimal, then the number is not a perfect square. For example, √1.44 = 1.2
     
  • The square root of a perfect square is always a whole number. For example, √144 = 12.
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Common Mistakes to Avoid When Calculating the Square of 202

Mistakes are common among kids when doing math, especially when it is finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.

Mistake 1

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Calculation errors:

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Calculation errors mostly happen when students skip the steps or else by swapping the digits. To avoid it, students should double-check the answer. They can double-check by finding the square root of the solution they found.

 

For example, the square of 25 is 625, and the square root of 625 is ±25.

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Solved Examples on Square of 202

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Problem 1

Find the length of the square, where the area of the square is 40,804 cm².

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The area of a square = a² So, the area of a square = 40,804 cm² So, the length = √40,804 = 202. The length of each side = 202 cm

Explanation

The length of a square is 202 cm.

Because the area is 40,804 cm², the length is √40,804 = 202.

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Problem 2

Jill is planning to tile her square floor of length 202 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full floor?

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The length of the floor = 202 feet The cost to tile 1 square foot of floor = 5 dollars. To find the total cost to tile, we find the area of the floor, Area of the floor = area of the square = a² Here a = 202 Therefore, the area of the floor = 202² = 202 × 202 = 40,804. The cost to tile the floor = 40,804 × 5 = 204,020. The total cost = 204,020 dollars

Explanation

To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot.

So, the total cost is 204,020 dollars.

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Problem 3

Find the area of a circle whose radius is 202 meters.

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The area of the circle = 128,663.44 m²

Explanation

The area of a circle = πr²

Here, r = 202

Therefore, the area of the circle = π × 202² = 3.14 × 202 × 202 = 128,663.44 m².

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Problem 4

The area of the square is 40,804 cm². Find the perimeter of the square.

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The perimeter of the square is 808 cm.

Explanation

The area of the square = a²

Here, the area is 40,804 cm²

The length of the side is √40,804 = 202

Perimeter of the square = 4a

Here, a = 202

Therefore, the perimeter = 4 × 202 = 808.

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Problem 5

Find the square of 204.

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The square of 204 is 41,616.

Explanation

The square of 204 is multiplying 204 by 204.

So, the square = 204 × 204 = 41,616

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FAQs on Square of 202

1.What is the square of 202?

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2.What is the square root of 202?

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3.Is 202 a prime number?

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4.What are the first few multiples of 202?

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5.What is the square of 200?

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6.How does learning Algebra help students in Oman make better decisions in daily life?

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7.How can cultural or local activities in Oman support learning Algebra topics such as Square of 202?

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8.How do technology and digital tools in Oman support learning Algebra and Square of 202?

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9.Does learning Algebra support future career opportunities for students in Oman?

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Professor Greenline from BrightChamps

Important Glossaries for Square of 202.

  • Perfect square: A number that is the square of an integer. For example, 4, 9, 16, 25, etc.
     
  • Exponential form: A way of expressing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.
     
  • Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
     
  • Even number: A number divisible by 2 without a remainder. For example, 2, 4, 6, 8, etc.
     
  • Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, etc.
Professor Greenline from BrightChamps

About BrightChamps in Oman

At BrightChamps, algebra is more than just figures—it’s a pathway to numerous opportunities! Our mission is to help children all over Oman master key math skills, focusing today on the Square of 202 with special emphasis on understanding squares—in an engaging, enjoyable, and easy-to-understand manner. Whether your child is measuring the speed of a roller coaster at Oman’s Dreamland Aqua Park, following scores at a local football match, or managing their allowance for the latest gadgets, a strong grasp of algebra builds their confidence for everyday challenges. Our interactive lessons make math learning simple and fun. Because children in Oman have varied learning styles, we adapt our approach to fit each learner. From the lively city of Muscat to Oman’s stunning natural landscapes, BrightChamps brings math to life, making it relevant and exciting throughout Oman. Let’s make squares a fun part of every child’s math journey!
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Jaskaran Singh Saluja

About the Author

Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.

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Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.

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