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Last updated on May 28th, 2025

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Square of 1250

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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 the topic, we will discuss the square of 1250.

Square of 1250 for UAE Students
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What is the Square of 1250

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

 

The square of 1250 is 1250 × 1250.

 

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

 

We write it in math as 1250², where 1250 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 1250 is 1250 × 1250 = 1,562,500.

 

Square of 1250 in exponential form: 1250²

 

Square of 1250 in arithmetic form: 1250 × 1250

 

square of 1250

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How to Calculate the Value of Square of 1250

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 (a2)
     
  • 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 1250.

 

Step 1: Identify the number. Here, the number is 1250.

 

Step 2: Multiplying the number by itself, we get, 1250 × 1250 = 1,562,500.

 

The square of 1250 is 1,562,500.

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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 1250

So: 1250² = 1250 × 1250 = 1,562,500

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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 1250.

 

Step 1: Enter the number in the calculator. Enter 1250 in the calculator.

 

Step 2: Multiply the number by itself using the multiplication button (×). That is 1250 × 1250.

 

Step 3: Press the equal to button to find the answer. Here, the square of 1250 is 1,562,500.

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Tips and Tricks for the Square of 1250

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 1250

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 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 1250

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Problem 1

Find the length of the square, where the area of the square is 1,562,500 cm².

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The area of a square = a²

 

So, the area of a square = 1,562,500 cm²

 

So, the length = √1,562,500 = 1250.

 

The length of each side = 1250 cm

Explanation

The length of a square is 1250 cm.

 

Because the area is 1,562,500 cm², the length is √1,562,500 = 1250.

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Problem 2

Sarah is planning to carpet her square room of length 1250 feet. The cost to carpet a foot is 5 dollars. Then how much will it cost to carpet the full room?

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The length of the room = 1250 feet

 

The cost to carpet 1 square foot of room = 5 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 = 1250

 

Therefore, the area of the room = 1250² = 1250 × 1250 = 1,562,500.

 

The cost to carpet the room = 1,562,500 × 5 = 7,812,500.

 

The total cost = 7,812,500 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 7,812,500 dollars.

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Problem 3

Find the area of a circle whose radius is 1250 meters.

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The area of the circle = 4,908,750 m²

Explanation

The area of a circle = πr²

 

Here, r = 1250

 

Therefore, the area of the circle = π × 1250² = 3.14 × 1250 × 1250 = 4,908,750 m².

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Problem 4

The area of the square is 1,562,500 cm². Find the perimeter of the square.

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The perimeter of the square is 5000 cm.

Explanation

The area of the square = a²

 

Here, the area is 1,562,500 cm²

 

The length of the side is √1,562,500 = 1250

 

Perimeter of the square = 4a

 

Here, a = 1250

 

Therefore, the perimeter = 4 × 1250 = 5000.

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Problem 5

Find the square of 1300.

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The square of 1300 is 1,690,000.

Explanation

The square of 1300 is multiplying 1300 by 1300.

 

So, the square = 1300 × 1300 = 1,690,000.

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FAQs on Square of 1250

1.What is the square of 1250?

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2.What is the square root of 1250?

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3.Is 1250 a prime number?

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4.What are the first few multiples of 1250?

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5.What is the square of 1200?

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

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7.How can cultural or local activities in United Arab Emirates support learning Algebra topics such as Square of 1250?

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8.How do technology and digital tools in United Arab Emirates support learning Algebra and Square of 1250?

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

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Professor Greenline from BrightChamps

Important Glossaries for Square 1250.

  • Perfect Square: A number that is the square of an integer. For example, 16, 25, 36.

 

  • Exponent: The power to which a number is raised. For example, in 9², 2 is the exponent.

 

  • Square Root: The inverse operation of squaring a number. For example, the square root of 144 is 12.

 

  • Prime Number: A number that has no divisors other than 1 and itself. For example, 2, 3, 5.

 

  • Multiplication Method: A method of finding the square by multiplying the number by itself.
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About BrightChamps in United Arab Emirates

At BrightChamps, algebra is much more than numbers—it opens doors to countless opportunities! Our goal is to help children throughout the UAE develop key math skills, with today’s lesson focused on the Square of 1250 and a special emphasis on understanding squares—in a way that’s fun, engaging, and easy to grasp. Whether your child is timing a roller coaster at Dubai Parks and Resorts, keeping score at a local football match, or managing their allowance for the latest gadgets, mastering algebra builds their confidence to handle daily challenges. Our lessons make learning simple and enjoyable. Because children in the UAE have different learning styles, we customize our approach for each child. From Dubai’s towering skyscrapers to Abu Dhabi’s rich culture, BrightChamps brings math to life, making it exciting and relevant throughout the UAE. Let’s make squares an enjoyable 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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