107 LearnersLast updated on May 26th, 2025
Square of 640
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 640.
What is the Square of 640
The square of a number is the product of the number by itself. The square of 640 is 640 × 640. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 640², where 640 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 640 is 640 × 640 = 409,600.
- Square of 640 in exponential form: 640²
- Square of 640 in arithmetic form: 640 × 640
How to Calculate the Value of Square of 640
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 640.
Step 1: Identify the number. Here, the number is 640.
Step 2: Multiplying the number by itself, we get, 640 × 640 = 409,600.
The square of 640 is 409,600.
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 640 So: 640² = 640 × 640 = 409,600
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 640.
Step 1: Enter the number in the calculator Enter 640 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 640 × 640
Step 3: Press the equal button to find the answer Here, the square of 640 is 409,600.
Tips and Tricks for the Square of 640
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 640
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.
Solved Examples on Square of 640
Problem 1
Find the length of the square, where the area of the square is 409,600 cm².
The area of a square = a²
So, the area of a square = 409,600 cm²
So, the length = √409,600 = 640.
The length of each side = 640 cm
Explanation
The length of a square is 640 cm.
Because the area is 409,600 cm² the length is √409,600 = 640.
Problem 2
Emma is planning to paint her square wall of length 640 feet. The cost to paint a foot is 2 dollars. Then how much will it cost to paint the full wall?
The length of the wall = 640 feet
The cost to paint 1 square foot of wall = 2 dollars.
To find the total cost to paint, we find the area of the wall,
Area of the wall = area of the square = a²
Here a = 640
Therefore, the area of the wall = 640² = 640 × 640 = 409,600.
The cost to paint the wall = 409,600 × 2 = 819,200.
The total cost = 819,200 dollars
Explanation
To find the cost to paint the wall, we multiply the area of the wall by the cost to paint per foot. So, the total cost is 819,200 dollars.
Problem 3
Find the area of a circle whose radius is 640 meters.
The area of the circle = 1,286,720 m²
Explanation
The area of a circle = πr²
Here, r = 640
Therefore, the area of the circle = π × 640² = 3.14 × 640 × 640 = 1,286,720 m².
Problem 4
The area of the square is 409,600 cm². Find the perimeter of the square.
The perimeter of the square is 2,560 cm
Explanation
The area of the square = a²
Here, the area is 409,600 cm²
The length of the side is √409,600 = 640
Perimeter of the square = 4a
Here, a = 640
Therefore, the perimeter = 4 × 640 = 2,560 cm.
Problem 5
Find the square of 641.
The square of 641 is 410,881
Explanation
The square of 641 is multiplying 641 by 641.
So, the square = 641 × 641 = 410,881
FAQs on Square of 640
1.What is the square of 640?
2.What is the square root of 640?
3.Is 640 a perfect square?
4.What are the first few multiples of 640?
5.What is the square of 639?
Important Glossaries for Square 640.
- Square: The product of a number multiplied by itself. For example, 640² = 409,600.
- Perfect Square: A number that is the square of an integer. For example, 16 is a perfect square of 4.
- Square Root: The inverse operation of squaring a number. For example, the square root of 409,600 is 640.
- Exponential Form: A way of expressing a number as a base raised to a power. For example, 640².
- Even Number: An integer divisible by 2 without a remainder. For example, 640 is an even 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.
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
