Last updated on May 26th, 2025
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 680.
The square of a number is the product of the number itself. The square of 680 is 680 × 680. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 680², where 680 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 680 is 680 × 680 = 462,400.
Square of 680 in exponential form: 680²
Square of 680 in arithmetic form: 680 × 680
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.
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 680.
Step 1: Identify the number. Here, the number is 680.
Step 2: Multiplying the number by itself, we get, 680 × 680 = 462,400.
The square of 680 is 462,400.
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 680.
So: 680² = 680 × 680 = 462,400
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 680.
Step 1: Enter the number in the calculator Enter 680 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×) That is 680 × 680
Step 3: Press the equal to button to find the answer Here, the square of 680 is 462,400.
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.
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.
Find the length of the square, where the area of the square is 462,400 cm².
The area of a square = a²
So, the area of a square = 462,400 cm²
So, the length = √462,400 = 680.
The length of each side = 680 cm
The length of a square is 680 cm. Because the area is 462,400 cm² the length is √462,400 = 680.
Sarah is planning to paint her square wall of length 680 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 = 680 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 = 680
Therefore, the area of the wall = 680² = 680 × 680 = 462,400.
The cost to paint the wall = 462,400 × 5 = 2,312,000.
The total cost = 2,312,000 dollars
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 2,312,000 dollars.
Find the area of a circle whose radius is 680 meters.
The area of the circle = 1,453,287.04 m²
The area of a circle = πr²
Here, r = 680
Therefore, the area of the circle = π × 680²
= 3.14 × 680 × 680
= 1,453,287.04 m².
The area of the square is 462,400 cm². Find the perimeter of the square.
The perimeter of the square is 2,720 cm.
The area of the square = a²
Here, the area is 462,400 cm²
The length of the side is √462,400 = 680
Perimeter of the square = 4a
Here, a = 680
Therefore, the perimeter = 4 × 680 = 2,720.
Find the square of 681.
The square of 681 is 463,761.
The square of 681 is multiplying 681 by 681. So, the square = 681 × 681 = 463,761.
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.
: He loves to play the quiz with kids through algebra to make kids love it.