111 LearnersLast updated on May 26th, 2025
Square of 843
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 843.
What is the Square of 843
The square of a number is the product of the number itself. The square of 843 is 843 × 843. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 843², where 843 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 843 is 843 × 843 = 710,649.
Square of 843 in exponential form: 843²
Square of 843 in arithmetic form: 843 × 843
How to Calculate the Value of Square of 843
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 843.
Step 1: Identify the number. Here, the number is 843.
Step 2: Multiplying the number by itself, we get, 843 × 843 = 710,649.
The square of 843 is 710,649.
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 843. So: 843² = 843 × 843 = 710,649
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 843.
Step 1: Enter the number in the calculator Enter 843 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 843 × 843
Step 3: Press the equal to button to find the answer Here, the square of 843 is 710,649.
Tips and Tricks for the Square of 843
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 843
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.
Solved Examples on Square of 843
Problem 1
Find the length of the square, where the area of the square is 710,649 cm².
The area of a square = a²
So, the area of a square = 710,649 cm²
So, the length = √710,649 = 843.
The length of each side = 843 cm
Explanation
The length of a square is 843 cm.
Because the area is 710,649 cm² the length is √710,649 = 843.
Problem 2
Sarah is planning to cover her square garden of length 843 feet with grass. The cost to cover a foot is 5 dollars. Then how much will it cost to cover the full garden?
The length of the garden = 843 feet
The cost to cover 1 square foot of garden = 5 dollars.
To find the total cost to cover, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 843
Therefore, the area of the garden = 843² = 843 × 843 = 710,649.
The cost to cover the garden = 710,649 × 5 = 3,553,245.
The total cost = 3,553,245 dollars
Explanation
To find the cost to cover the garden, we multiply the area of the garden by the cost to cover per foot. So, the total cost is 3,553,245 dollars.
Problem 3
Find the area of a circle whose radius is 843 meters.
The area of the circle = 2,231,479.49 m²
Explanation
The area of a circle = πr²
Here, r = 843
Therefore, the area of the circle = π × 843² = 3.14 × 843 × 843 = 2,231,479.49 m².
Problem 4
The area of the square is 710,649 cm². Find the perimeter of the square.
The perimeter of the square is 3,372 cm
Explanation
The area of the square = a²
Here, the area is 710,649 cm²
The length of the side is √710,649 = 843
Perimeter of the square = 4a
Here, a = 843
Therefore, the perimeter = 4 × 843 = 3,372 cm.
Problem 5
Find the square of 844.
The square of 844 is 712,336
Explanation
The square of 844 is multiplying 844 by 844.
So, the square = 844 × 844 = 712,336
FAQs on Square of 843
1.What is the square of 843?
2.What is the square root of 843?
3.Is 843 a prime number?
4.What are the first few multiples of 843?
5.What is the square of 842?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of 843?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 843?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square of 843.
- Perfect Square: A number that is the square of an integer. For example, 49 is a perfect square because it is 7².
- Exponent: A mathematical notation indicating the number of times a quantity is multiplied by itself. For example, in 843², 2 is the exponent.
- Square Root: The value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3.
- Multiplication: The mathematical operation of scaling one number by another.
- Circle Area: The amount of space enclosed by a circle, calculated using πr², where r is the radius.
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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
: He loves to play the quiz with kids through algebra to make kids love it.
