109 LearnersLast updated on May 26th, 2025
Square of 632
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 632.
What is the Square of 632
The square of a number is the product of the number with itself. The square of 632 is 632 × 632. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 632², where 632 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 632 is 632 × 632 = 399,424.
Square of 632 in exponential form: 632²
Square of 632 in arithmetic form: 632 × 632
How to Calculate the Value of Square of 632
The square of a number involves multiplying the number by itself. So, let’s learn how to find the square of a number. These are 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 632.
Step 1: Identify the number. Here, the number is 632.
Step 2: Multiply the number by itself. 632 × 632 = 399,424.
The square of 632 is 399,424.
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 632. So: 632² = 632 × 632 = 399,424
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 632.
Step 1: Enter the number in the calculator. Enter 632 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 632 × 632.
Step 3: Press the equal to button to find the answer. Here, the square of 632 is 399,424.
Tips and Tricks for the Square of 632
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 632
Mistakes are common among students when doing math, especially when it involves 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 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 632
Problem 1
Find the length of the square, where the area of the square is 399,424 cm².
The area of a square = a²
So, the area of a square = 399,424 cm²
So, the length = √399,424 = 632.
The length of each side = 632 cm
Explanation
The length of a square is 632 cm.
Because the area is 399,424 cm², the length is √399,424 = 632.
Problem 2
A farmer wants to fence a square field with a side length of 632 meters. If fencing costs $5 per meter, what is the total cost to fence the field?
The length of one side of the field = 632 meters.
The cost to fence 1 meter = $5.
To find the total cost, we find the perimeter of the field.
Perimeter of the square = 4a Here a = 632
Therefore, the perimeter = 4 × 632 = 2,528 meters.
The cost to fence the field = 2,528 × 5 = $12,640.
The total cost = $12,640
Explanation
To find the cost to fence the field, multiply the perimeter of the field by the cost per meter. So, the total cost is $12,640.
Problem 3
Find the area of a circle whose diameter is 632 meters.
The area of the circle is 313,654.4 m².
Explanation
The area of a circle = πr²
Here, diameter = 632,
so the radius r = 632/2 = 316.
Therefore, the area of the circle = π × 316² = 3.14 × 316 × 316 = 313,654.4 m².
Problem 4
The area of a square is 399,424 cm². Find the perimeter of the square.
The perimeter of the square is 2,528 cm.
Explanation
The area of the square = a²
Here, the area is 399,424 cm²
The length of the side is √399,424 = 632
Perimeter of the square = 4a
Here, a = 632
Therefore, the perimeter = 4 × 632 = 2,528 cm.
Problem 5
Find the square of 633.
The square of 633 is 400,689.
Explanation
The square of 633 is multiplying 633 by 633.
So, the square = 633 × 633 = 400,689
FAQs on Square of 632
1.What is the square of 632?
2.What is the square root of 632?
3.Is 632 a prime number?
4.What are the first few multiples of 632?
5.What is the square of 631?
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 632?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 632?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square 632
- Square: The result of multiplying a number by itself. For example, the square of 2 is 4.
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square since 4² = 16.
- Square root: A value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3.
- Even number: A number divisible by 2. For example, 4 is an even number.
- Area: The measure of the surface enclosed within a boundary. For example, the area of a square with side length a is a².
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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.
