111 LearnersLast updated on May 26th, 2025
Square of 630
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 630.
What is the Square of 630
The square of a number is the product of the number itself. The square of 630 is 630 × 630. The square of a number can end in 0, 1, 4, 5, 6, or 9. We write it in math as (6302), where 630 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 630 is 630 × 630 = 396,900
Square of 630 in exponential form: (6302)
Square of 630 in arithmetic form: 630 × 630
How to Calculate the Value of Square of 630
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 630.
Step 1: Identify the number. Here, the number is 630.
Step 2: Multiplying the number by itself, we get, 630 × 630 = 396,900.
The square of 630 is 396,900.
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 630. So: (630² = 630 × 630 = 396,900\)
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 630.
Step 1: Enter the number in the calculator Enter 630 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 630 × 630.
Step 3: Press the equal to button to find the answer. Here, the square of 630 is 396,900.
Tips and Tricks for the Square of 630
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 630
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 630
Problem 1
Find the length of the square, where the area of the square is 396,900 cm².
The area of a square = (a²). So, the area of a square = 396,900 cm². So, the length = (√396,900 = 630). The length of each side = 630 cm.
Explanation
The length of a square is 630 cm. Because the area is 396,900 cm² the length is √(396,900} = 630).
Problem 2
Sarah is planning to paint her square wall of length 630 feet. The cost to paint a foot is 5 dollars. Then how much will it cost to paint the full wall?
The length of the wall = 630 feet.
The cost to paint 1 square foot of wall = 5 dollars.
To find the total cost to paint, we find the area of the wall,
Area of the wall = area of the square = (a²). Here (a = 630).
Therefore, the area of the wall = (630² = 630 × 630 = 396,900).
The cost to paint the wall = 396,900 × 5 = 1,984,500.
The total cost = 1,984,500 dollars.
Explanation
To find the cost to paint the wall, we multiply the area of the wall by cost to paint per foot. So, the total cost is 1,984,500 dollars.
Problem 3
Find the area of a circle whose radius is 630 meters.
The area of the circle = 1,246,800 m².
Explanation
The area of a circle = (pi r²). Here, (r = 630).
Therefore, the area of the circle = (pi × 630²) = 3.14 × 630 × 630 = 1,246,800 m².
Problem 4
The area of the square is 400,000 cm². Find the perimeter of the square.
The perimeter of the square is 800 cm.
Explanation
The area of the square = (a²).
Here, the area is 400,000 cm².
The length of the side is (400,000} = 632).
Perimeter of the square = 4a.
Here, (a = 632).
Therefore, the perimeter = 4 × 632 = 2,528 cm.
Problem 5
Find the square of 631.
The square of 631 is 398,161.
Explanation
The square of 631 is multiplying 631 by 631. So, the square = 631 × 631 = 398,161.
FAQs on Square of 630
1.What is the square of 630?
2.What is the square root of 630?
3.Is 630 a prime number?
4.What are the first few multiples of 630?
5.What is the square of 629?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 630?
8.How do technology and digital tools in United States support learning Algebra and Square of 630?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 630.
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square as it is (6²).
- Exponential form: The representation of a number as a base raised to a power. For example, \(9^2\), where 9 is the base and 2 is the exponent.
- Square root: The inverse operation of squaring a number. The square root of a number is a value that, when multiplied by itself, gives the original number.
- Multiplication method: A basic arithmetic operation of repeated addition. It is used to find the square by multiplying the number by itself.
- Calculator method: Using a calculator to perform arithmetic operations to find the square of a number efficiently.
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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
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