105 LearnersLast updated on May 26th, 2025
Square of 633
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 633.
What is the Square of 633
The square of a number is the product of the number itself. The square of 633 is 633 × 633. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 633², where 633 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 633 is 633 × 633 = 400,689.
Square of 633 in exponential form: 633²
Square of 633 in arithmetic form: 633 × 633
How to Calculate the Value of Square of 633
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 633
Step 1: Identify the number. Here, the number is 633
Step 2:Multiplying the number by itself, we get, 633 × 633 = 400,689.
The square of 633 is 400,689.
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 633 So: 633² = 633 × 633 = 400,689
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 633.
Step 1: Enter the number in the calculator Enter 633 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 633 × 633
Step 3: Press the equal to button to find the answer Here, the square of 633 is 400,689.
Tips and Tricks for the Square of 633
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 633
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 633
Problem 1
Find the length of the square, where the area of the square is 400,689 cm².
The area of a square = a²
So, the area of a square = 400,689 cm²
So, the length = √400,689 = 633.
The length of each side = 633 cm
Explanation
The length of a square is 633 cm.
Because the area is 400,689 cm² the length is √400,689 = 633.
Problem 2
A farmer wants to plant a square field with a length of 633 meters. The cost to plant one square meter is 5 dollars. How much will it cost to plant the entire field?
The length of the field = 633 meters
The cost to plant 1 square meter of field = 5 dollars.
To find the total cost to plant, we find the area of the field,
Area of the field = area of the square = a²
Here a = 633
Therefore, the area of the field = 633² = 633 × 633 = 400,689.
The cost to plant the field = 400,689 × 5 = 2,003,445.
The total cost = 2,003,445 dollars
Explanation
To find the cost to plant the field, we multiply the area of the field by the cost to plant per square meter. So, the total cost is 2,003,445 dollars.
Problem 3
Find the area of a circle whose radius is 633 meters.
The area of the circle = 1,259,244.22 m²
Explanation
The area of a circle = πr²
Here, r = 633
Therefore, the area of the circle = π × 633² = 3.14 × 633 × 633 = 1,259,244.22 m².
Problem 4
The area of the square is 400,689 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 400,689 cm²
The length of the side is √400,689 = 633
Perimeter of the square = 4a
Here, a = 633
Therefore, the perimeter = 4 × 633 = 2,532.
Problem 5
Find the square of 634.
The square of 634 is 401,956
Explanation
The square of 634 is multiplying 634 by 634.
So, the square = 634 × 634 = 401,956
FAQs on Square of 633
1.What is the square of 633?
2.What is the square root of 633?
3.Is 633 a prime number?
4.What are the first few multiples of 633?
5.What is the square of 632?
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 633?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 633?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square of 633.
- Perfect square: A perfect square is a number that is the square of an integer. For example, 400,689 is a perfect square because it is 633².
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 633² where 633 is the base and 2 is the power.
- Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
- Even and odd numbers: An even number is divisible by 2, while an odd number is not. The square of an even number is even, and the square of an odd number is odd.
- Prime number: A number that is only divisible by 1 and itself. For instance, 37 is a prime number.
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About BrightChamps in Vietnam
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.
