136 LearnersLast updated on May 30th, 2025
Square of 250
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.
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
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
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.
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
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.
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
Calculation errors:
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.
Mistake 2
Errors when using the formula.
The formula to find the square of the number is a². Instead, students may use 250² with (2 + 5 + 0)² or (200 + 50)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept that square and square root are inverse operations. The square of 5 is 25 and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses and do the operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 250
Problem 1
Find the length of the square, where the area of the square is 62500 cm².
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.
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?
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.
Problem 3
Find the area of a circle whose radius is 250 meters.
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.
Problem 4
The area of the square is 62500 cm². Find the perimeter of the square.
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.
Problem 5
Find the square of 251.
The square of 251 is 63001
Explanation
The square of 251 is multiplying 251 by 251.
So, the square = 251 × 251 = 63001
FAQs on Square of 250
1.What is the square of 250?
2.What is the square root of 250?
3.Is 250 a perfect square?
4.What are the first few multiples of 250?
5.What is the square of 249?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 250?
8.How do technology and digital tools in United States support learning Algebra and Square of 250?
9.Does learning Algebra support future career opportunities for students in United States?
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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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.
Fun Fact
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