109 LearnersLast updated on May 26th, 2025
Square of 634
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 634.
What is the Square of 634
The square of a number is the product of the number itself. The square of 634 is 634 × 634. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 634², where 634 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 634 is 634 × 634 = 401956.
Square of 634 in exponential form: 634²
Square of 634 in arithmetic form: 634 × 634
How to Calculate the Value of the Square of 634
The square of a number is found 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 634.
Step 1: Identify the number. Here, the number is 634.
Step 2: Multiplying the number by itself, we get, 634 × 634 = 401956.
The square of 634 is 401956.
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 634. So: 634² = 634 × 634 = 401956
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 634.
Step 1: Enter the number in the calculator Enter 634 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 634 × 634.
Step 3: Press the equal to button to find the answer. Here, the square of 634 is 401956.
Tips and Tricks for the Square of 634
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 634
Mistakes are common among students 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 steps or swap 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 634
Problem 1
Find the length of the square, where the area of the square is 401956 cm².
The area of a square = a²
So, the area of a square = 401956 cm²
So, the length = √401956 = 634.
The length of each side = 634 cm
Explanation
The length of a square is 634 cm.
Because the area is 401956 cm², the length is √401956 = 634.
Problem 2
Alice is planning to tile her square courtyard of length 634 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the full courtyard?
The length of the courtyard = 634 feet
The cost to tile 1 square foot = 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 = 634
Therefore, the area of the courtyard = 634² = 634 × 634 = 401956.
The cost to tile the courtyard = 401956 × 5 = 2009780.
The total cost = 2009780 dollars
Explanation
To find the cost to tile the courtyard, multiply the area of the courtyard by the cost to tile per foot. So, the total cost is 2009780 dollars.
Problem 3
Find the area of a circle whose radius is 634 meters.
The area of the circle = 1262576.36 m²
Explanation
The area of a circle = πr²
Here, r = 634
Therefore, the area of the circle = π × 634² = 3.14 × 634 × 634 = 1262576.36 m².
Problem 4
The area of the square is 401956 cm². Find the perimeter of the square.
The perimeter of the square is 2536 cm.
Explanation
The area of the square = a²
Here, the area is 401956 cm²
The length of the side is √401956 = 634
Perimeter of the square = 4a
Here, a = 634
Therefore, the perimeter = 4 × 634 = 2536.
Problem 5
Find the square of 635.
The square of 635 is 403225.
Explanation
The square of 635 is found by multiplying 635 by 635.
So, the square = 635 × 635 = 403225
FAQs on Square of 634
1.What is the square of 634?
2.What is the square root of 634²?
3.Is 634 a prime number?
4.What are the first few multiples of 634?
5.What is the square of 633?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of 634?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 634?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square 634.
- Perfect square: A number that can be expressed as the product of an integer with itself. For example, 16 is a perfect square because 4 × 4 = 16.
- Exponential form: A way of expressing a number using a base and an exponent, such as 634².
- Square root: The inverse operation of squaring, finding the number that, when multiplied by itself, gives the original number.
- Multiplication: The mathematical operation of scaling one number by another.
- Prime number: A number that is only divisible by 1 and itself, such as 2, 3, 5, 7, 11, etc.
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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.
