128 LearnersLast updated on May 30th, 2025
Square of 804
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and more. In this topic, we will discuss the square of 804.
What is the Square of 804
The square of a number is the product of the number by itself.
The square of 804 is 804 × 804.
We write it in math as 804², where 804 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 804 is 804 × 804 = 646,416.
Square of 804 in exponential form: 804²
Square of 804 in arithmetic form: 804 × 804
How to Calculate the Value of Square of 804
The square of a number is multiplying the number by itself. 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 804.
Step 1: Identify the number. Here, the number is 804.
Step 2: Multiply the number by itself. 804 × 804 = 646,416.
The square of 804 is 646,416.
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 804.
So: 804² = 804 × 804 = 646,416
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 804.
Step 1: Enter the number in the calculator. Enter 804 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 804 × 804.
Step 3: Press the equal button to find the answer.
Here, the square of 804 is 646,416.
Tips and Tricks for the Square of 804
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 804
Mistakes are common among kids when doing math, especially when 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 steps or swap digits. To avoid these, students should double-check their 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.
Mistake 2
Errors using the formula.
The formula to find the square of the number is a². Instead, students may use 804² with (8 + 4)² or (800 + 4)². Students should check and use the correct formula and double-check the answers to avoid all confusion.
Mistake 3
Confusing square and square root.
Not understanding the concept of square and square root can lead to confusion. Students should understand that square and square root are inverse operations. The square of 5 is 25, and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring the parentheses when finding the square of a number can lead to errors. Students should understand parentheses and perform operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. Students should practice regularly to avoid errors.
Solved Examples on Square of 804
Problem 1
Find the length of the square, where the area of the square is 646,416 cm².
The area of a square = a² So, the area of a square = 646,416 cm² So, the length = √646,416 = 804. The length of each side = 804 cm
Explanation
The length of a square is 804 cm.
Because the area is 646,416 cm², the length is √646,416 = 804.
Problem 2
Lisa plans to carpet her square room with a length of 804 feet. The cost to carpet a foot is 5 dollars. How much will it cost to carpet the full room?
The length of the room = 804 feet The cost to carpet 1 square foot of the room = 5 dollars. To find the total cost to carpet, we find the area of the room: Area of the room = area of the square = a² Here a = 804 Therefore, the area of the room = 804² = 804 × 804 = 646,416. The cost to carpet the room = 646,416 × 5 = 3,232,080. The total cost = 3,232,080 dollars
Explanation
To find the cost to carpet the room, multiply the area of the room by the cost to carpet per foot.
So, the total cost is 3,232,080 dollars.
Problem 3
Find the area of a circle whose radius is 804 meters.
The area of the circle = 2,032,932.96 m²
Explanation
The area of a circle = πr²
Here, r = 804
Therefore, the area of the circle = π × 804² = 3.14 × 804 × 804 = 2,032,932.96 m².
Problem 4
The area of the square is 646,416 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 646,416 cm²
The length of the side is √646,416 = 804
Perimeter of the square = 4a
Here, a = 804
Therefore, the perimeter = 4 × 804 = 3,216.
Problem 5
Find the square of 805.
The square of 805 is 648,025
Explanation
The square of 805 is multiplying 805 by 805.
So, the square = 805 × 805 = 648,025
FAQs on Square of 804
1.What is the square of 804?
2.What is the square root of 804?
3.Is 804 a prime number?
4.What are the first few multiples of 804?
5.What is the square of 803?
6.How does learning Algebra help students in India make better decisions in daily life?
7.How can cultural or local activities in India support learning Algebra topics such as Square of 804?
8.How do technology and digital tools in India support learning Algebra and Square of 804?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square of 804.
- Perfect Square: A number that is the square of an integer, such as 4, 9, 16, etc.
- Exponent: The power to which a number is raised, indicating repeated multiplication.
- Even Number: An integer divisible by 2 without a remainder.
- Odd Number: An integer not divisible by 2 without a remainder.
- Square Root: A value that, when multiplied by itself, gives the original number.
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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
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