137 LearnersLast updated on May 30th, 2025
Square of 520
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 520.
What is the Square of 520
The square of a number is the product of the number itself.
The square of 520 is 520 × 520.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 520², where 520 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 520 is 520 × 520 = 270,400.
Square of 520 in exponential form: 520²
Square of 520 in arithmetic form: 520 × 520
How to Calculate the Value of Square of 520
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
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 520.
Step 1: Identify the number. Here, the number is 520.
Step 2: Multiplying the number by itself, we get, 520 × 520 = 270,400.
The square of 520 is 270,400.
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 520.
So: 520² = 520 × 520 = 270,400
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 520.
Step 1: Enter the number in the calculator. Enter 520 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 520 × 520.
Step 3: Press the equal to button to find the answer. Here, the square of 520 is 270,400.
Tips and Tricks for the Square of 520
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 520
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
Calculation errors:
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.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use 520² with (5 + 2 + 0)² or (500 + 20)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with 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 error.
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 520
Problem 1
A square garden has an area of 270,400 square feet. Find the length of one side of the garden.
The area of a square = a²
So, the area of a square = 270,400 square feet
So, the length = √270,400 = 520.
The length of each side = 520 feet
Explanation
The length of a square garden is 520 feet.
Because the area is 270,400 square feet, the length is √270,400 = 520.
Problem 2
Sarah is decorating her square room with side length 520 inches. The cost to decorate a square inch is 0.5 dollars. How much will it cost to decorate the entire room?
The length of the room = 520 inches
The cost to decorate 1 square inch of the room = 0.5 dollars.
To find the total cost to decorate, we find the area of the room.
Area of the room = area of the square = a²
Here a = 520
Therefore, the area of the room = 520² = 520 × 520 = 270,400.
The cost to decorate the room = 270,400 × 0.5 = 135,200.
The total cost = 135,200 dollars
Explanation
To find the cost to decorate the room, we multiply the area of the room by the cost to decorate per square inch. So, the total cost is 135,200 dollars.
Problem 3
Find the area of a circle whose radius is 520 meters.
The area of the circle = 849,888 m²
Explanation
The area of a circle = πr²
Here, r = 520
Therefore, the area of the circle = π × 520² = 3.14 × 520 × 520 = 849,888 m².
Problem 4
The area of the square is 270,400 cm². Find the perimeter of the square.
The perimeter of the square is 2,080 cm.
Explanation
The area of the square = a²
Here, the area is 270,400 cm²
The length of the side is √270,400 = 520
Perimeter of the square = 4a
Here, a = 520
Therefore, the perimeter = 4 × 520 = 2,080.
Problem 5
Find the square of 521.
The square of 521 is 271,441.
Explanation
The square of 521 is multiplying 521 by 521.
So, the square = 521 × 521 = 271,441
FAQs on Square of 520
1.What is the square of 520?
2.What is the square root of 520?
3.Is 520 a perfect square?
4.What are the first few multiples of 520?
5.What is the square of 521?
6.How does learning Algebra help students in Singapore make better decisions in daily life?
7.How can cultural or local activities in Singapore support learning Algebra topics such as Square of 520?
8.How do technology and digital tools in Singapore support learning Algebra and Square of 520?
9.Does learning Algebra support future career opportunities for students in Singapore?
Important Glossaries for Square 520.
- Square: The product of a number multiplied by itself. For example, 4² = 16.
- Perfect Square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Exponential Form: A way of representing repeated multiplication of the same factor. For example, 520².
- Multiplication Method: A method to find the square by multiplying the number by itself.
- Square Root: A value that, when multiplied by itself, gives the original number. For example, the square root of 16 is ±4.
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About BrightChamps in Singapore
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
: He loves to play the quiz with kids through algebra to make kids love it.
