100 LearnersLast updated on May 26th, 2025
Square of 679
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 679.
What is the Square of 679
The square of a number is the product of the number itself. The square of 679 is 679 × 679. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 679², where 679 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 679 is 679 × 679 = 461041.
Square of 679 in exponential form: 679²
Square of 679 in arithmetic form: 679 × 679
How to Calculate the Value of Square of 679
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 679
Step 1: Identify the number. Here, the number is 679
Step 2: Multiplying the number by itself, we get, 679 × 679 = 461041.
The square of 679 is 461041.
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 679
So: 679² = 679 × 679 = 461041
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 679.
Step 1: Enter the number in the calculator Enter 679 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 679 × 679
Step 3: Press the equal to button to find the answer Here, the square of 679 is 461041.
Tips and Tricks for the Square of 679
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 679
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 679
Problem 1
Find the length of the square, where the area of the square is 461041 cm².
The area of a square = a²
So, the area of a square = 461041 cm²
So, the length = √461041 = 679.
The length of each side = 679 cm
Explanation
The length of a square is 679 cm. Because the area is 461041 cm², the length is √461041 = 679.
Problem 2
Sara is planning to carpet her square hall of length 679 feet. The cost to carpet a foot is 5 dollars. Then how much will it cost to carpet the full hall?
The length of the hall = 679 feet
The cost to carpet 1 square foot of hall = 5 dollars.
To find the total cost to carpet, we find the area of the hall,
Area of the hall = area of the square = a²
Here a = 679
Therefore, the area of the hall = 679² = 679 × 679 = 461041.
The cost to carpet the hall = 461041 × 5 = 2305205.
The total cost = 2305205 dollars
Explanation
To find the cost to carpet the hall, we multiply the area of the hall by the cost to carpet per foot.
So, the total cost is 2305205 dollars.
Problem 3
Find the area of a circle whose radius is 679 meters.
The area of the circle = 1,448,428.66 m²
Explanation
The area of a circle = πr²
Here, r = 679
Therefore, the area of the circle = π × 679²
= 3.14 × 679 × 679
= 1,448,428.66 m².
Problem 4
The area of the square is 461041 cm². Find the perimeter of the square.
The perimeter of the square is 2716 cm
Explanation
The area of the square = a²
Here, the area is 461041 cm²
The length of the side is √461041 = 679
Perimeter of the square = 4a
Here, a = 679
Therefore, the perimeter = 4 × 679 = 2716.
Problem 5
Find the square of 680.
The square of 680 is 462400
Explanation
The square of 680 is multiplying 680 by 680. So, the square = 680 × 680 = 462400
FAQs on Square of 679
1.What is the square of 679?
2.What is the square root of 679?
3.Is 679 a prime number?
4.What are the first few multiples of 679?
5.What is the square of 678?
6.How does learning Algebra help students in Bahrain make better decisions in daily life?
7.How can cultural or local activities in Bahrain support learning Algebra topics such as Square of 679?
8.How do technology and digital tools in Bahrain support learning Algebra and Square of 679?
9.Does learning Algebra support future career opportunities for students in Bahrain?
Important Glossaries for Square 679.
- Prime number: Any number that is only divisible by 1 and the number itself is a prime number. For example, 2, 3, 5, 7, 11, 13.
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 9² where 9 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.
- Perfect square: A perfect square is a number that has an integer as its square root. For example, 144 is a perfect square because its square root is 12.
- Area of a circle: The area of a circle is the space contained within its circumference, calculated as πr², where r is the radius of the circle.
Explore More algebra
Previous to Square of 679
About BrightChamps in Bahrain
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.
