115 LearnersLast updated on June 2nd, 2025
Square of 484
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 484.
What is the Square of 484
The square of a number is the product of the number itself.
The square of 484 is 484 × 484.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 484², where 484 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 484 is 484 × 484 = 234,256.
Square of 484 in exponential form: 484²
Square of 484 in arithmetic form: 484 × 484
How to Calculate the Value of Square of 484
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 484.
Step 1: Identify the number. Here, the number is 484.
Step 2: Multiplying the number by itself, we get, 484 × 484 = 234,256.
The square of 484 is 234,256.
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 484
So: 484² = 484 × 484 = 234,256
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 484.
Step 1: Enter the number in the calculator. Enter 484 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 484 × 484
Step 3: Press the equal to button to find the answer. Here, the square of 484 is 234,256.
Tips and Tricks for the Square of 484
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 484
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 484² with (400+84)² or (480+4)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 484
Problem 1
Find the length of the square, where the area of the square is 234,256 cm².
The area of a square = a²
So, the area of a square = 234,256 cm²
So, the length = √234,256 = 484.
The length of each side = 484 cm
Explanation
The length of a square is 484 cm.
Because the area is 234,256 cm², the length is √234,256 = 484.
Problem 2
Anna is planning to tile her square courtyard of length 484 feet. The cost to tile a square foot is 5 dollars. Then how much will it cost to tile the full courtyard?
The length of the courtyard = 484 feet
The cost to tile 1 square foot of courtyard = 5 dollars.
To find the total cost to tile, we find the area of the courtyard
Area of the courtyard = area of the square = a²
Here a = 484
Therefore, the area of the courtyard = 484² = 484 × 484 = 234,256.
The cost to tile the courtyard = 234,256 × 5 = 1,171,280.
The total cost = 1,171,280 dollars
Explanation
To find the cost to tile the courtyard, we multiply the area of the courtyard by the cost to tile per foot. So, the total cost is 1,171,280 dollars.
Problem 3
Find the area of a circle whose radius is 484 meters.
The area of the circle = 735,148.32 m²
Explanation
The area of a circle = πr²
Here, r = 484
Therefore, the area of the circle = π × 484² = 3.14 × 484 × 484 = 735,148.32 m².
Problem 4
The area of the square is 234,256 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 234,256 cm²
The length of the side is √234,256 = 484
Perimeter of the square = 4a
Here, a = 484
Therefore, the perimeter = 4 × 484 = 1,936.
Problem 5
Find the square of 485.
The square of 485 is 235,225
Explanation
The square of 485 is multiplying 485 by 485.
So, the square = 485 × 485 = 235,225
FAQs on Square of 484
1.What is the square of 484?
2.What is the square root of 484?
3.Is 484 a perfect square?
4.What are the first few multiples of 484?
5.What is the square of 483?
6.How does learning Algebra help students in Philippines make better decisions in daily life?
7.How can cultural or local activities in Philippines support learning Algebra topics such as Square of 484?
8.How do technology and digital tools in Philippines support learning Algebra and Square of 484?
9.Does learning Algebra support future career opportunities for students in Philippines?
Important Glossaries for Square of 484.
- Perfect square: A number that is the square of an integer. For example, 484 is a perfect square because 22² = 484.
- Exponent: The power to which a number is raised. For example, in 484², 2 is the exponent.
- Square root: The inverse operation of squaring, giving a number which when squared returns the original number. For example, √484 = 22.
- Even number: A number divisible by 2 without a remainder. For example, 484 is an even number.
- Multiplication method: A method of finding the square by multiplying the number by itself. For example, 484 × 484 = 234,256.
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About BrightChamps in Philippines
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.
