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Last updated on May 30th, 2025

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Square of 250

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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 250.

Square of 250 for US Students
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What is the Square of 250

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

 

The square of 250 is 250 × 250.

 

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

 

We write it in math as 250², where 250 is the base and 2 is the exponent.

 

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

 

For example, 5² = 25; (-5)² = 25.

 

The square of 250 is 250 × 250 = 62500.

 

Square of 250 in exponential form: 250²

 

Square of 250 in arithmetic form: 250 × 250

square of 250

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How to Calculate the Value of Square of 250

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 250.

 

Step 1: Identify the number. Here, the number is 250.

 

Step 2: Multiplying the number by itself, we get, 250 × 250 = 62500.

 

The square of 250 is 62500.

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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 250.

 

So: 250² = 250 × 250 = 62500

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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 250.

 

Step 1: Enter the number in the calculator Enter 250 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button(×) That is 250 × 250

 

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

 

Here, the square of 250 is 62500.

 

Tips and Tricks for the Square of 250

 

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 250

Mistakes are common among kids when doing math, especially when it comes to 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 swap 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 250

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Problem 1

Find the length of the square, where the area of the square is 62500 cm².

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The area of a square = a² So, the area of a square = 62500 cm² So, the length = √62500 = 250. The length of each side = 250 cm

Explanation

The length of a square is 250 cm.

Because the area is 62500 cm², the length is √62500 = 250.

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Problem 2

Sarah is planning to paint her square garden fence of length 250 feet. The cost to paint a foot is 5 dollars. Then how much will it cost to paint the full fence?

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The length of the fence = 250 feet The cost to paint 1 square foot of the fence = 5 dollars. To find the total cost to paint, we find the area of the fence, Area of the fence = area of the square = a² Here a = 250 Therefore, the area of the fence = 250² = 250 × 250 = 62500. The cost to paint the fence = 62500 × 5 = 312500. The total cost = 312500 dollars

Explanation

To find the cost to paint the fence, we multiply the area of the fence by the cost to paint per foot.

So, the total cost is 312500 dollars.

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Problem 3

Find the area of a circle whose radius is 250 meters.

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The area of the circle = 196250 m²

Explanation

The area of a circle = πr²

Here, r = 250

Therefore, the area of the circle = π × 250² = 3.14 × 250 × 250 = 196250 m².

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Problem 4

The area of the square is 62500 cm². Find the perimeter of the square.

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The perimeter of the square is

Explanation

The area of the square = a²

Here, the area is 62500 cm²

The length of the side is √62500 = 250

Perimeter of the square = 4a

Here, a = 250

Therefore, the perimeter = 4 × 250 = 1000.

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Problem 5

Find the square of 251.

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The square of 251 is 63001

Explanation

The square of 251 is multiplying 251 by 251.

So, the square = 251 × 251 = 63001

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FAQs on Square of 250

1.What is the square of 250?

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2.What is the square root of 250?

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3.Is 250 a perfect square?

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4.What are the first few multiples of 250?

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5.What is the square of 249?

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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 250?

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8.How do technology and digital tools in United States support learning Algebra and Square of 250?

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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 250.

  • Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, 25, etc.
     
  • Exponential form: A way of writing numbers using bases and exponents. For example, 250² where 250 is the base and 2 is the exponent.
     
  • Square root: The value that, when multiplied by itself, gives the original number. For example, the square root of 62500 is 250.
     
  • Odd number: An integer not divisible by 2. For example, 1, 3, 5, 7, etc.
     
  • Even number: An integer divisible by 2. For example, 2, 4, 6, 8, etc.
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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 250 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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Fun Fact

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

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