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Last updated on May 29th, 2025

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Square of 1025

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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 1025.

Square of 1025 for US Students
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What is the Square of 1025

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

 

The square of 1025 is 1025 × 1025.

 

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

 

We write it in math as 1025², where 1025 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 1025 is 1025 × 1025 = 1,050,625.

 

Square of 1025 in exponential form: 1025²

 

Square of 1025 in arithmetic form: 1025 × 1025

 

square of 1025

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How to Calculate the Value of Square of 1025

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 1025.

 

Step 1: Identify the number. Here, the number is 1025.

 

Step 2: Multiplying the number by itself, we get, 1025 × 1025 = 1,050,625.

 

The square of 1025 is 1,050,625.

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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 1025.

So: 1025² = 1025 × 1025 = 1,050,625

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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 1025.

 

Step 1: Enter the number in the calculator. Enter 1025 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button (×). That is 1025 × 1025

 

Step 3: Press the equal to button to find the answer. Here, the square of 1025 is 1,050,625.

 

Tips and Tricks for the Square of 1025

 

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 1025

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 1025

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Problem 1

Find the length of the square, where the area of the square is 1,050,625 cm².

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The area of a square = a²

 

So, the area of a square = 1,050,625 cm²

 

So, the length = √1,050,625 = 1025.

 

The length of each side = 1025 cm

Explanation

The length of a square is 1025 cm.

 

Because the area is 1,050,625 cm², the length is √1,050,625 = 1025.

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Max, the Girl Character from BrightChamps

Problem 2

Sarah is planning to carpet her square room of length 1025 feet. The cost to carpet a foot is 4 dollars. Then how much will it cost to carpet the full room?

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The length of the room = 1025 feet

 

The cost to carpet 1 square foot of the room = 4 dollars.

 

To find the total cost to carpet, we find the area of the room, Area of the room = area of the square = a²

 

Here a = 1025

 

Therefore, the area of the room = 1025² = 1025 × 1025 = 1,050,625.

 

The cost to carpet the room = 1,050,625 × 4 = 4,202,500.

 

The total cost = 4,202,500 dollars

Explanation

To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot.

 

So, the total cost is 4,202,500 dollars.

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Max, the Girl Character from BrightChamps

Problem 3

Find the area of a circle whose radius is 1025 meters.

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The area of the circle = 3,300,068.75 m²

Explanation

The area of a circle = πr²

 

Here, r = 1025

 

Therefore, the area of the circle = π × 1025² = 3.14 × 1025 × 1025 = 3,300,068.75 m².

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Problem 4

The area of the square is 1,050,625 cm². Find the perimeter of the square.

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The perimeter of the square is 4100 cm.

Explanation

The area of the square = a²

 

Here, the area is 1,050,625 cm²

 

The length of the side is √1,050,625 = 1025

 

Perimeter of the square = 4a

 

Here, a = 1025

 

Therefore, the perimeter = 4 × 1025 = 4100.

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Max, the Girl Character from BrightChamps

Problem 5

Find the square of 1026.

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The square of 1026 is 1,052,676.

Explanation

The square of 1026 is multiplying 1026 by 1026.

 

So, the square = 1026 × 1026 = 1,052,676.

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FAQs on Square of 1025

1.What is the square of 1025?

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2.What is the square root of 1025?

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3.Is 1025 a prime number?

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4.What are the first few multiples of 1025?

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5.What is the square of 1024?

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

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7.How can cultural or local activities in United States support learning Algebra topics such as Square of 1025?

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8.How do technology and digital tools in United States support learning Algebra and Square of 1025?

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

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Professor Greenline from BrightChamps

Important Glossaries for Square of 1025

  • Perfect square: A perfect square is a number that is the square of an integer. For example, 49 is a perfect square because it is 7².

 

  • Exponent: An exponent refers to the number of times a number is multiplied by itself. In 1025², 2 is the exponent.

 

  • Multiplication: Multiplication is an arithmetic operation that combines two numbers to get a product.

 

  • Square root: The square root is the inverse operation of squaring a number. The square root of 1025 is approximately 32.0156.

 

  • Perimeter: The perimeter is the total distance around a two-dimensional shape, such as a square or rectangle.
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About BrightChamps in United States

At BrightChamps, we understand that algebra is more than just symbols—it's a gateway to endless possibilities! Our goal is to help children all over the United States master key math concepts, such as today’s lesson on the Square of 1025 with a special emphasis on grasping squares—in an engaging, fun, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Disney World, keeping score at a Little League baseball game, or budgeting their allowance for the newest gadgets, having a solid grasp of algebra builds the confidence they need for daily life. Our hands-on lessons are designed to make learning both simple and enjoyable. Since children across the USA learn in diverse ways, we customize our methods to suit each individual learner. From the energetic streets of New York City to the sunny beaches of California, BrightChamps brings math alive, making it relevant and exciting nationwide. Let’s make squares an exciting part of every child’s math adventure!
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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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Max, the Girl Character from BrightChamps

Fun Fact

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

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