132 LearnersLast updated on May 30th, 2025
Square of 799
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 799.
What is the Square of 799
The square of a number is the product of the number itself.
The square of 799 is 799 × 799.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 799², where 799 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 799 is 799 × 799 = 638,401.
Square of 799 in exponential form: 799²
Square of 799 in arithmetic form: 799 × 799
How to Calculate the Value of Square of 799
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.
- 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 799
Step 1: Identify the number. Here, the number is 799
Step 2: Multiplying the number by itself, we get, 799 × 799 = 638,401.
The square of 799 is 638,401.
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 799
So: 799² = 799 × 799 = 638,401
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 799.
Step 1: Enter the number in the calculator Enter 799 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 799 × 799
Step 3: Press the equal to button to find the answer
Here, the square of 799 is 638,401.
Tips and Tricks for the Square of 799
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 799
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.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip the steps or else by swapping the digits. To avoid it, students should double-check the 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 while using the formula.
The formula to find the square of the number is a². Instead, students may use (7 + 9 + 9)² or (700 + 99)². So, students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand the concept 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. So, students should understand parentheses. And do the operations in the correct order to avoid error.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 799
Problem 1
Find the length of the square, where the area of the square is 638,401 cm².
The area of a square = a² So, the area of a square = 638,401 cm² So, the length = √638,401 = 799. The length of each side = 799 cm
Explanation
The length of a square is 799 cm.
Because the area is 638,401 cm², the length is √638,401 = 799.
Problem 2
Sarah has a square garden with a side length of 799 feet. She wants to fence the garden, and the cost for fencing is 5 dollars per foot. How much will it cost to fence the entire garden?
The length of the garden = 799 feet The cost to fence 1 foot of the garden = 5 dollars. To find the total cost to fence, we find the perimeter of the garden, Perimeter of the garden = 4a Here a = 799 Therefore, the perimeter of the garden = 4 × 799 = 3,196. The cost to fence the garden = 3,196 × 5 = 15,980. The total cost = 15,980 dollars
Explanation
To find the cost to fence the garden, we multiply the perimeter of the garden by the cost to fence per foot.
So, the total cost is 15,980 dollars.
Problem 3
Find the area of a circle whose radius is 799 meters.
The area of the circle = 2,006,659.06 m²
Explanation
The area of a circle = πr²
Here, r = 799
Therefore, the area of the circle = π × 799² = 3.14 × 799 × 799 = 2,006,659.06 m².
Problem 4
The area of the square is 638,401 cm². Find the perimeter of the square.
The perimeter of the square is 3,196 cm.
Explanation
The area of the square = a²
Here, the area is 638,401 cm²
The length of the side is √638,401 = 799
Perimeter of the square = 4a
Here, a = 799
Therefore, the perimeter = 4 × 799 = 3,196 cm.
Problem 5
Find the square of 800.
The square of 800 is 640,000.
Explanation
The square of 800 is multiplying 800 by 800.
So, the square = 800 × 800 = 640,000.
FAQs on Square of 799
1.What is the square of 799?
2.What is the square root of 799?
3.Is 799 a prime number?
4.What are the first few multiples of 799?
5.What is the square of 798?
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 799?
8.How do technology and digital tools in India support learning Algebra and Square of 799?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square of 799.
- Perfect Square: A number that is the square of an integer. For example, 638,401 is a perfect square because it is 799².
- Exponent: A number that shows how many times a base is multiplied by itself. In the expression 799², 2 is the exponent.
- Prime Number: A number greater than 1 that has no divisors other than 1 and itself.
- Perimeter: The continuous line forming the boundary of a closed geometric figure, such as a square.
- Area: The extent or measurement of a surface or piece of land, typically measured in square units.
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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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