117 LearnersLast updated on June 2nd, 2025
Square of 485
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 485.
What is the Square of 485
The square of a number is the product of the number itself.
The square of 485 is 485 × 485.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 485², where 485 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 485 is 485 × 485 = 235,225.
Square of 485 in exponential form: 485²
Square of 485 in arithmetic form: 485 × 485
How to Calculate the Value of Square of 485
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 485.
Step 1: Identify the number. Here, the number is 485.
Step 2: Multiplying the number by itself, we get, 485 × 485 = 235,225.
The square of 485 is 235,225.
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 485.
So: 485² = 485 × 485 = 235,225
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 485.
Step 1: Enter the number in the calculator. Enter 485 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 485 × 485.
Step 3: Press the equal to button to find the answer. Here, the square of 485 is 235,225.
Tips and Tricks for the Square of 485
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 485
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 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 will be using the formula.
The formula to find the square of the number is a². Instead, students may use 485² with (4 + 8 + 5)² or (400 + 85)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 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 485
Problem 1
Find the length of the square, where the area of the square is 235,225 cm².
The area of a square = a²
So, the area of a square = 235,225 cm²
So, the length = √235,225 = 485.
The length of each side = 485 cm
Explanation
The length of a square is 485 cm.
Because the area is 235,225 cm², the length is √235,225 = 485.
Problem 2
Sarah wants to cover her square garden of length 485 feet with tiles. The cost to cover a square foot is 10 dollars. How much will it cost to cover the full garden?
The length of the garden = 485 feet
The cost to cover 1 square foot of the garden = 10 dollars.
To find the total cost to cover, we find the area of the garden.
Area of the garden = area of the square = a²
Here a = 485
Therefore, the area of the garden = 485² = 485 × 485 = 235,225.
The cost to cover the garden = 235,225 × 10 = 2,352,250.
The total cost = 2,352,250 dollars.
Explanation
To find the cost to cover the garden, we multiply the area of the garden by the cost to cover per foot. So, the total cost is 2,352,250 dollars.
Problem 3
Find the area of a circle whose radius is 485 meters.
The area of the circle = 739,198.45 m²
Explanation
The area of a circle = πr²
Here, r = 485
Therefore, the area of the circle = π × 485² = 3.14 × 485 × 485 = 739,198.45 m².
Problem 4
The area of the square is 235,225 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 235,225 cm²
The length of the side is √235,225 = 485
Perimeter of the square = 4a
Here, a = 485
Therefore, the perimeter = 4 × 485 = 1,940.
Problem 5
Find the square of 486.
The square of 486 is 236,196.
Explanation
The square of 486 is multiplying 486 by 486.
So, the square = 486 × 486 = 236,196.
FAQs on Square of 485
1.What is the square of 485?
2.What is the square root of 485?
3.Is 485 a prime number?
4.What are the first few multiples of 485?
5.What is the square of 484?
6.How does learning Algebra help students in United Arab Emirates make better decisions in daily life?
7.How can cultural or local activities in United Arab Emirates support learning Algebra topics such as Square of 485?
8.How do technology and digital tools in United Arab Emirates support learning Algebra and Square of 485?
9.Does learning Algebra support future career opportunities for students in United Arab Emirates?
Important Glossaries for Square 485.
- Prime number: A number that is only divisible by 1 and itself is a prime number. For example, 2, 3, 5, 7, etc.
- Exponential form: Writing a number as a power, such as 485², where 485 is the base and 2 is the exponent.
- Square root: The inverse operation of squaring a number. The square root of a number is a value that, when multiplied by itself, gives the original number.
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square since it is 12².
- Multiplication method: A technique to find the square of a number by multiplying the number by itself.
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About BrightChamps in United Arab Emirates
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.
