110 LearnersLast updated on June 2nd, 2025
Square of 498
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 498.
What is the Square of 498
The square of a number is the product of the number itself.
The square of 498 is 498 × 498.
We write it in math as 498², where 498 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 498 is 498 × 498 = 248,004.
Square of 498 in exponential form: 498²
Square of 498 in arithmetic form: 498 × 498
How to Calculate the Value of Square of 498
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 498.
Step 1: Identify the number. Here, the number is 498.
Step 2: Multiplying the number by itself, we get, 498 × 498 = 248,004.
The square of 498 is 248,004.
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 498
So: 498² = 498 × 498 = 248,004
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 498.
Step 1: Enter the number in the calculator. Enter 498 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 498 × 498.
Step 3: Press the equal to button to find the answer. Here, the square of 498 is 248,004.
Tips and Tricks for the Square of 498
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 498
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 498² with (4 + 9 + 8)² or (400 + 90 + 8)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 498
Problem 1
Find the length of the square, where the area of the square is 248,004 cm².
The area of a square = a²
So, the area of a square = 248,004 cm²
So, the length = √248,004 = 498.
The length of each side = 498 cm
Explanation
The length of a square is 498 cm.
Because the area is 248,004 cm², the length is √248,004 = 498.
Problem 2
Lisa wants to cover her square garden of length 498 feet with grass. The cost to cover a square foot of garden is 5 dollars. Then how much will it cost to cover the full garden?
The length of the garden = 498 feet
The cost to cover 1 square foot of garden = 5 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 = 498
Therefore, the area of the garden = 498² = 498 × 498 = 248,004.
The cost to cover the garden = 248,004 × 5 = 1,240,020.
The total cost = 1,240,020 dollars
Explanation
To find the cost to cover the garden, we multiply the area of the garden by cost to cover per foot.
So, the total cost is 1,240,020 dollars.
Problem 3
Find the area of a circle whose radius is 498 meters.
The area of the circle = 779,610.32 m²
Explanation
The area of a circle = πr²
Here, r = 498
Therefore, the area of the circle = π × 498² = 3.14 × 498 × 498 = 779,610.32 m².
Problem 4
The area of the square is 248,004 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 248,004 cm²
The length of the side is √248,004 = 498
Perimeter of the square = 4a
Here, a = 498
Therefore, the perimeter = 4 × 498 = 1,992.
Problem 5
Find the square of 500.
The square of 500 is 250,000
Explanation
The square of 500 is multiplying 500 by 500.
So, the square = 500 × 500 = 250,000
FAQs on Square of 498
1.What is the square of 498?
2.What is the square root of 498?
3.Is 498 a prime number?
4.What are the first few multiples of 498?
5.What is the square of 499?
6.How does learning Algebra help students in Indonesia make better decisions in daily life?
7.How can cultural or local activities in Indonesia support learning Algebra topics such as Square of 498?
8.How do technology and digital tools in Indonesia support learning Algebra and Square of 498?
9.Does learning Algebra support future career opportunities for students in Indonesia?
Important Glossaries for Square 498.
- Integer: A whole number, positive, negative, or zero, that does not include fractions or decimals.
- Exponent: A mathematical notation indicating the number of times a quantity is multiplied by itself.
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6 × 6.
- Even number: An integer that is exactly divisible by 2. For example, 2, 4, 6, 8, etc.
- Multiplication: A mathematical operation that combines groups of equal sizes; the repeated addition of a number.
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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.
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