110 LearnersLast updated on May 26th, 2025
Square of 644
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 644.
What is the Square of 644
The square of a number is the product of the number itself. The square of 644 is 644 × 644. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 644², where 644 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 644 is 644 × 644 = 414,736.
Square of 644 in exponential form: 644²
Square of 644 in arithmetic form: 644 × 644
How to Calculate the Value of Square of 644
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 644
Step 1: Identify the number. Here, the number is 644
Step 2: Multiplying the number by itself, we get, 644 × 644 = 414,736.
The square of 644 is 414,736.
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 644 So: 644² = 644 × 644 = 414,736
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 644.
Step 1: Enter the number in the calculator Enter 644 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 644 × 644
Step 3: Press the equal button to find the answer Here, the square of 644 is 414,736.
Tips and Tricks for the Square of 644
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 644
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 644
Problem 1
Find the length of the square, where the area of the square is 414,736 cm².
The area of a square = a²
So, the area of a square = 414,736 cm²
So, the length = √414,736 = 644.
The length of each side = 644 cm
Explanation
The length of a square is 644 cm.
Because the area is 414,736 cm² the length is √414,736 = 644.
Problem 2
Sarah is planning to tile her square courtyard of length 644 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full courtyard?
The length of the courtyard = 644 feet
The cost to tile 1 square foot of courtyard = 5 dollars.
To find the total cost to tile, we find the area of the courtyard,
Area of the courtyard = area of the square = a²
Here a = 644
Therefore, the area of the courtyard = 644² = 644 × 644 = 414,736.
The cost to tile the courtyard = 414,736 × 5 = 2,073,680.
The total cost = 2,073,680 dollars
Explanation
To find the cost to tile the courtyard, we multiply the area of the courtyard by cost to tile per foot. So, the total cost is 2,073,680 dollars.
Problem 3
Find the area of a circle whose radius is 644 meters.
The area of the circle = 1,303,185.76 m²
Explanation
The area of a circle = πr²
Here, r = 644
Therefore, the area of the circle = π × 644² = 3.14 × 644 × 644 = 1,303,185.76 m².
Problem 4
The area of the square is 414,736 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 414,736 cm²
The length of the side is √414,736 = 644
Perimeter of the square = 4a
Here, a = 644
Therefore, the perimeter = 4 × 644 = 2,576.
Problem 5
Find the square of 645.
The square of 645 is 416,025
Explanation
The square of 645 is multiplying 645 by 645.
So, the square = 645 × 645 = 416,025
FAQs on Square of 644
1.What is the square of 644?
2.What is the square root of 644?
3.Is 644 a prime number?
4.What are the first few multiples of 644?
5.What is the square of 643?
Important Glossaries for Square of 644.
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Exponent: In mathematics, an exponent refers to the number of times a number is multiplied by itself.
- Whole number: A number without fractions; an integer.
- Inverse operation: An operation that reverses the effect of another operation. For example, addition and subtraction are inverse operations.
- Multiple: The result of multiplying a number by an integer. For instance, 20 is a multiple of 5.
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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.
