116 LearnersLast updated on June 2nd, 2025
Square of 490
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 490.
What is the Square of 490
The square of a number is the product of the number itself.
The square of 490 is 490 × 490.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 490², where 490 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 490 is 490 × 490 = 240,100.
Square of 490 in exponential form: 490²
Square of 490 in arithmetic form: 490 × 490
How to Calculate the Value of Square of 490
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 490.
Step 1: Identify the number. Here, the number is 490.
Step 2: Multiplying the number by itself, we get, 490 × 490 = 240,100.
The square of 490 is 240,100.
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 490
So: 490² = 490 × 490 = 240,100
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 490.
Step 1: Enter the number in the calculator. Enter 490 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 490 × 490
Step 3: Press the equal to button to find the answer. Here, the square of 490 is 240,100.
Tips and Tricks for the Square of 490
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 490
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 490² with (4+9+0)² or (400+90)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 490
Problem 1
Find the length of the square, where the area of the square is 240,100 cm².
The area of a square = a²
So, the area of a square = 240,100 cm²
So, the length = √240,100 = 490.
The length of each side = 490 cm
Explanation
The length of a square is 490 cm. Because the area is 240,100 cm², the length is √240,100 = 490.
Problem 2
A farmer wants to fence a square field with a side length of 490 meters. If the cost of fencing per meter is 5 dollars, how much will it cost to fence the entire field?
The length of the field = 490 meters
The cost to fence 1 meter of field = 5 dollars.
To find the total cost to fence, we find the perimeter of the field.
Perimeter of the field = 4 × a
Here a = 490
Therefore, the perimeter of the field = 4 × 490 = 1,960.
The cost to fence the field = 1,960 × 5 = 9,800.
The total cost = 9,800 dollars
Explanation
To find the cost to fence the field, we multiply the perimeter of the field by cost to fence per meter. So, the total cost is 9,800 dollars.
Problem 3
Find the area of a circle whose radius is 490 meters.
The area of the circle = 754,247.34 m²
Explanation
The area of a circle = πr²
Here, r = 490
Therefore, the area of the circle = π × 490² = 3.14 × 490 × 490 = 754,247.34 m².
Problem 4
The area of the square is 240,100 cm². Find the perimeter of the square.
The perimeter of the square is 1,960 cm
Explanation
The area of the square = a²
Here, the area is 240,100 cm²
The length of the side is √240,100 = 490
Perimeter of the square = 4a
Here, a = 490
Therefore, the perimeter = 4 × 490 = 1,960.
Problem 5
Find the square of 491.
The square of 491 is 241,081
Explanation
The square of 491 is multiplying 491 by 491.
So, the square = 491 × 491 = 241,081
FAQs on Square of 490
1.What is the square of 490?
2.What is the square root of 490?
3.Is 490 a perfect square?
4.What are the first few multiples of 490?
5.What is the square of 491?
6.How does learning Algebra help students in India make better decisions in daily life?
7.How can cultural or local activities in India support learning Algebra topics such as Square of 490?
8.How do technology and digital tools in India support learning Algebra and Square of 490?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square 490.
- Square number: A number that is the product of an integer multiplied by itself. For example, 16 is a square number as it is 4 × 4.
- Exponential form: A way of expressing a number as a base raised to a power. For example, 3² where 3 is the base and 2 is the exponent.
- Perfect square: A number that has an integer as its square root. For example, 36 is a perfect square because √36 = 6.
- Perimeter: The total length of the sides or edges of a polygon. For example, the perimeter of a square with side length 5 is 4 × 5 = 20.
- Circle's area: The space occupied by the circle, calculated using the formula πr², where r is the radius.
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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.
Fun Fact
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