120 LearnersLast updated on June 2nd, 2025
Square of 489
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 489.
What is the Square of 489
The square of a number is the product of the number itself.
The square of 489 is 489 × 489.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 489², where 489 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 489 is 489 × 489 = 239,121.
Square of 489 in exponential form: 489²
Square of 489 in arithmetic form: 489 × 489
How to Calculate the Value of Square of 489
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 489.
Step 1: Identify the number. Here, the number is 489.
Step 2: Multiplying the number by itself, we get, 489 × 489 = 239,121.
The square of 489 is 239,121.
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 489
So: 489² = 489 × 489 = 239,121
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 489.
Step 1: Enter the number in the calculator. Enter 489 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 489 × 489
Step 3: Press the equal to button to find the answer. Here, the square of 489 is 239,121.
Tips and Tricks for the Square of 489
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 489
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 489² with (4 + 8 + 9)² or (400 + 80 + 9)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 489
Problem 1
Find the length of the square, where the area of the square is 239,121 cm².
The area of a square = a²
So, the area of a square = 239,121 cm²
So, the length = √239,121 = 489.
The length of each side = 489 cm
Explanation
The length of a square is 489 cm. Because the area is 239,121 cm² the length is √239,121 = 489.
Problem 2
Sarah is planning to wallpaper her square wall of length 489 feet. The cost to wallpaper a foot is 3 dollars. Then how much will it cost to wallpaper the full wall?
The length of the wall = 489 feet The cost to wallpaper 1 square foot of wall = is 3 dollars. To find the total cost to wallpaper, we find the area of the wall, Area of the wall = area of the square = a² Here a = 489 Therefore, the area of the wall = 489² = 489 × 489 = 239,121. The cost to wallpaper the wall = 239,121 × 3 = 717,363. The total cost = 717,363 dollars
Explanation
To find the cost to wallpaper the wall, we multiply the area of the wall by the cost to wallpaper per foot. So, the total cost is 717,363 dollars.
Problem 3
Find the area of a circle whose radius is 489 meters.
The area of the circle = 750,778.02 m²
Explanation
The area of a circle = πr²
Here, r = 489
Therefore, the area of the circle = π × 489² = 3.14 × 489 × 489 = 750,778.02 m².
Problem 4
The area of the square is 239,121 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 239,121 cm²
The length of the side is √239,121 = 489
Perimeter of the square = 4a Here, a = 489
Therefore, the perimeter = 4 × 489 = 1,956.
Problem 5
Find the square of 490.
The square of 490 is 240,100
Explanation
The square of 490 is multiplying 490 by 490.
So, the square = 490 × 490 = 240,100
FAQs on Square of 489
1.What is the square of 489?
2.What is the square root of 489?
3.Is 489 a prime number?
4.What are the first few multiples of 489?
5.What is the square of 488?
6.How does learning Algebra help students in Bahrain make better decisions in daily life?
7.How can cultural or local activities in Bahrain support learning Algebra topics such as Square of 489?
8.How do technology and digital tools in Bahrain support learning Algebra and Square of 489?
9.Does learning Algebra support future career opportunities for students in Bahrain?
Important Glossaries for Square of 489.
- Prime number: Any number that is only divisible by 1 and the number itself is a prime number. For example, 2, 3, 5, 7, 11, …
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.
- Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
- Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, 25, …
- Multiplication method: A method to find the square of a number by multiplying the number by itself.
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About BrightChamps in Bahrain
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.
