Last updated on May 30th, 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 824.
The square of a number is the product of the number itself.
The square of 824 is 824 × 824.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 824², where 824 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 824 is 824 × 824 = 678,976.
Square of 824 in exponential form: 824²
Square of 824 in arithmetic form: 824 × 824
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 824.
Step 1: Identify the number. Here, the number is 824.
Step 2: Multiplying the number by itself, we get, 824 × 824 = 678,976.
The square of 824 is 678,976.
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 824.
So: 824² = 824 × 824 = 678,976
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 824.
Step 1: Enter the number in the calculator Enter 824 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 824 × 824
Step 3: Press the equal button to find the answer Here, the square of 824 is 678,976.
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 678,976 cm².
The area of a square = a² So, the area of a square = 678,976 cm² So, the length = √678,976 = 824. The length of each side = 824 cm
The length of a square is 824 cm.
Because the area is 678,976 cm² the length is √678,976 = 824.
Sarah is planning to tile her square floor with a length of 824 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 = 824 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 = 824 Therefore, the area of the floor = 824² = 824 × 824 = 678,976. The cost to tile the floor = 678,976 × 5 = 3,394,880. The total cost = 3,394,880 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 3,394,880 dollars.
Find the area of a circle whose radius is 824 meters.
The area of the circle = 2,132,298.24 m²
The area of a circle = πr²
Here, r = 824
Therefore, the area of the circle = π × 824² = 3.14 × 824 × 824 = 2,132,298.24 m².
The area of the square is 678,976 cm². Find the perimeter of the square.
The perimeter of the square is
The area of the square = a²
Here, the area is 678,976 cm²
The length of the side is √678,976 = 824
Perimeter of the square = 4a
Here, a = 824
Therefore, the perimeter = 4 × 824 = 3,296.
Find the square of 825.
The square of 825 is 680,625
The square of 825 is multiplying 825 by 825.
So, the square = 825 × 825 = 680,625
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.