106 LearnersLast updated on May 26th, 2025
Square of 638
The product of multiplying an integer by itself is the square of a number. Square is used in programming, calculating areas, and more. In this topic, we will discuss the square of 638.
What is the Square of 638
The square of a number is the product of the number by itself. The square of 638 is 638 × 638. The square of a number can end in any digit, but specific patterns can be observed for smaller numbers. We write it in math as 638², where 638 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 638 is 638 × 638 = 407,044.
Square of 638 in exponential form: 638²
Square of 638 in arithmetic form: 638 × 638
How to Calculate the Value of Square of 638
The square of a number is obtained by multiplying the number by itself. Let's learn how to find the square of a number using common methods.
- By Multiplication Method
- Using a Formula
- Using a Calculator
By the Multiplication Method
In this method, we multiply the number by itself to find the square. The product here is the square of the number. Let's find the square of 638.
Step 1: Identify the number. Here, the number is 638.
Step 2: Multiplying the number by itself, we get, 638 × 638 = 407,044.
The square of 638 is 407,044.
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 638 So: 638² = 638 × 638 = 407,044
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 638.
Step 1: Enter the number in the calculator Enter 638 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 638 × 638
Step 3: Press the equal to button to find the answer Here, the square of 638 is 407,044.
Tips and Tricks for the Square of 638
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.
- If the square root of a number is a fraction or a decimal, then the number is not a perfect square.
- 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 638
Mistakes are common among students when doing math, especially when 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 swap the digits. To avoid this, 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 638
Problem 1
A square garden has an area of 407,044 square meters. What is the length of one side of the garden?
The area of a square = a²
So, the area of a square = 407,044 m²
So, the length = √407,044 = 638.
The length of each side = 638 meters
Explanation
The length of a side of the square garden is 638 meters because the area is 407,044 m², and the length is √407,044 = 638.
Problem 2
Lisa wants to tile her square patio, which has a length of 638 feet. The cost to tile one square foot is 10 dollars. How much will it cost to tile the entire patio?
The length of the patio = 638 feet
The cost to tile 1 square foot = 10 dollars.
To find the total cost to tile, we find the area of the patio,
Area of the patio = area of the square = a²
Here a = 638
Therefore, the area of the patio = 638² = 638 × 638 = 407,044.
The cost to tile the patio = 407,044 × 10 = 4,070,440.
The total cost = 4,070,440 dollars
Explanation
To find the cost to tile the patio, we multiply the area of the patio by the cost to tile per foot. So, the total cost is 4,070,440 dollars.
Problem 3
Find the area of a circle whose radius is 638 meters.
The area of the circle = 1,279,904.76 m²
Explanation
The area of a circle = πr²
Here, r = 638
Therefore, the area of the circle = π × 638² = 3.14 × 638 × 638 = 1,279,904.76 m².
Problem 4
The area of a square is 407,044 cm². Find the perimeter of the square.
The perimeter of the square is 2,552 cm.
Explanation
The area of the square = a²
Here, the area is 407,044 cm²
The length of the side is √407,044 = 638
Perimeter of the square = 4a
Here, a = 638
Therefore, the perimeter = 4 × 638 = 2,552.
Problem 5
Find the square of 640.
The square of 640 is 409,600.
Explanation
The square of 640 is multiplying 640 by 640.
So, the square = 640 × 640 = 409,600.
FAQs on Square of 638
1.What is the square of 638?
2.What is the square root of 638?
3.Is 638 a prime number?
4.What are the first few multiples of 638?
5.What is the square of 637?
Important Glossaries for Square of 638.
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Prime number: A natural number greater than 1 that has no positive divisors other than 1 and itself.
- Exponential form: A way of expressing numbers as a base raised to a power, such as 638².
- Square root: The number that, when multiplied by itself, gives the original number. For example, the square root of 16 is 4.
- Multiplication: The mathematical operation of scaling one number by another, such as finding the square of a number by multiplying it by itself.
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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.
