Last updated on May 30th, 2025
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 823.
The square of a number is the product of the number itself.
The square of 823 is 823 × 823.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 823², where 823 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 823 is 823 × 823 = 677,329.
Square of 823 in exponential form: 823²
Square of 823 in arithmetic form: 823 × 823
The square of a number is found by multiplying the number by itself. Let's learn how to find the square of a number using common methods.
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 823.
Step 1: Identify the number. Here, the number is 823.
Step 2: Multiply the number by itself, we get, 823 × 823 = 677,329.
The square of 823 is 677,329.
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 823
So: 823² = 823 × 823 = 677,329
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 823.
Step 1: Enter the number in the calculator Enter 823 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 823 × 823
Step 3: Press the equal to button to find the answer
Here, the square of 823 is 677,329.
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 677,329 cm².
The area of a square = a² So, the area of a square = 677,329 cm² So, the length = √677,329 = 823. The length of each side = 823 cm
The length of a square is 823 cm.
Because the area is 677,329 cm², the length is √677,329 = 823.
Sarah is planning to tile her square floor of length 823 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 823 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 = 823 Therefore, the area of the floor = 823² = 823 × 823 = 677,329. The cost to tile the floor = 677,329 × 5 = 3,386,645. The total cost = 3,386,645 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 3,386,645 dollars.
Find the area of a circle whose radius is 823 meters.
The area of the circle = 2,128,397.06 m²
The area of a circle = πr²
Here, r = 823
Therefore, the area of the circle = π × 823² = 3.14 × 823 × 823 = 2,128,397.06 m².
The area of the square is 677,329 cm². Find the perimeter of the square.
The perimeter of the square is
The area of the square = a²
Here, the area is 677,329 cm²
The length of the side is √677,329 = 823
Perimeter of the square = 4a
Here, a = 823
Therefore, the perimeter = 4 × 823 = 3,292.
Find the square of 824.
The square of 824 is 678,976
The square of 824 is multiplying 824 by 824.
So, the square = 824 × 824 = 678,976
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.