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 the topic, we will discuss the square of 683.
The square of a number is the product of the number with itself. The square of 683 is 683 × 683. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 683², where 683 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 683 is 683 × 683 = 466,489.
Square of 683 in exponential form: 683²
Square of 683 in arithmetic form: 683 × 683
The square of a number is found by multiplying the number by itself. These are the common methods used to find the square of a number.
In this method, we multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 683.
Step 1: Identify the number. Here, the number is 683.
Step 2: Multiply the number by itself, we get, 683 × 683 = 466,489.
The square of 683 is 466,489.
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: Identify the number and substitute the value in the equation.
Here, ‘a’ is 683.
So: 683² = 683 × 683 = 466,489
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 683.
Step 1: Enter the number in the calculator. Enter 683 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 683 × 683.
Step 3: Press the equal button to find the answer. Here, the square of 683 is 466,489.
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 comes to 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 466,489 cm².
The area of a square = a²
So, the area of a square = 466,489 cm²
So, the length = √466,489 = 683.
The length of each side = 683 cm
The length of a square is 683 cm. Because the area is 466,489 cm² the length is √466,489 = 683.
Lisa wants to tile her square kitchen floor of length 683 feet. The cost to tile a foot is 5 dollars. How much will it cost to tile the full floor?
The length of the kitchen floor = 683 feet
The cost to tile 1 square foot of floor = 5 dollars.
To find the total cost to tile, we find the area of the floor,
Area of the floor = area of the square = a²
Here a = 683
Therefore, the area of the floor = 683² = 683 × 683 = 466,489.
The cost to tile the floor = 466,489 × 5 = 2,332,445.
The total cost = 2,332,445 dollars
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 2,332,445 dollars.
Find the area of a circle whose radius is 683 meters.
The area of the circle = 1,466,292.54 m²
The area of a circle = πr²
Here, r = 683
Therefore, the area of the circle = π × 683²
= 3.14 × 683 × 683
= 1,466,292.54 m².
The area of the square is 466,489 cm². Find the perimeter of the square.
The perimeter of the square is 2,732 cm.
The area of the square = a²
Here, the area is 466,489 cm²
The length of the side is √466,489 = 683
Perimeter of the square = 4a
Here, a = 683
Therefore, the perimeter = 4 × 683 = 2,732 cm.
Find the square of 684.
The square of 684 is 467,856.
The square of 684 is multiplying 684 by 684. So, the square = 684 × 684 = 467,856.
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.