106 LearnersLast updated on May 26th, 2025
Square of 643
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 643.
What is the Square of 643
The square of a number is the product of the number itself. The square of 643 is 643 × 643. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 643², where 643 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 643 is 643 × 643 = 413,449.
Square of 643 in exponential form: 643²
Square of 643 in arithmetic form: 643 × 643
How to Calculate the Value of Square of 643
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 643
Step 1: Identify the number. Here, the number is 643
Step 2: Multiplying the number by itself, we get, 643 × 643 = 413,449.
The square of 643 is 413,449.
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 643 So: 643² = 643 × 643 = 413,449
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 643.
Step 1: Enter the number in the calculator Enter 643 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×) That is 643 × 643
Step 3: Press the equal to button to find the answer Here, the square of 643 is 413,449.
Tips and Tricks for the Square of 643
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 643
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 643
Problem 1
A plot of land is a perfect square with an area of 413,449 square meters. Find the length of each side of the plot.
The area of a square = a²
So, the area of a square = 413,449 m²
So, the length = √413,449 = 643.
The length of each side = 643 m
Explanation
The length of each side of the plot is 643 meters.
Because the area is 413,449 square meters, the length is √413,449 = 643.
Problem 2
A community garden is square-shaped with each side measuring 643 meters. If the cost to fence the garden is $5 per meter, how much will it cost to fence the entire garden?
The length of each side of the garden = 643 meters
The cost to fence 1 meter of the garden = $5.
To find the total cost to fence, we find the perimeter of the garden,
Perimeter of the garden = 4a
Here a = 643
Therefore, the perimeter = 4 × 643 = 2,572 meters.
The cost to fence the garden = 2,572 × 5 = 12,860.
The total cost = $12,860
Explanation
To find the cost to fence the garden, we multiply the perimeter of the garden by the cost to fence per meter. So, the total cost is $12,860.
Problem 3
Find the area of a square park whose side length is 643 meters.
The area of the square park = 413,449 m²
Explanation
The area of a square = a²
Here, a = 643
Therefore, the area of the square park = 643 × 643 = 413,449 m².
Problem 4
A square has an area of 413,449 square centimeters. Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 413,449 cm²
The length of the side is √413,449 = 643
Perimeter of the square = 4a
Here, a = 643
Therefore, the perimeter = 4 × 643 = 2,572.
Problem 5
Find the square of 644.
The square of 644 is 414,736
Explanation
The square of 644 is multiplying 644 by 644.
So, the square = 644 × 644 = 414,736
FAQs on Square of 643
1.What is the square of 643?
2.What is the square root of 643?
3.Is 643 a prime number?
4.What are the first few multiples of 643?
5.What is the square of 642?
Important Glossaries for Square 643.
- Prime number: A number that is only divisible by 1 and itself. For example, 643 is a prime number.
- Exponential form: Writing a number in the form of a power, like 643², where 643 is the base and 2 is the exponent.
- Perfect square: A number that is the square of an integer. For example, 413,449 is a perfect square because it is 643².
- Perimeter: The total length of the sides of a two-dimensional shape. For example, the perimeter of a square with side length 643 is 4 × 643.
- Area: The measure of the space inside a two-dimensional shape, such as a square or rectangle. For example, the area of a square with side length 643 is 643².
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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.
