143 LearnersLast updated on May 26th, 2025
Square of 844
The product of multiplying an integer by itself is the square of a number. The square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 844.
What is the Square of 844
The square of a number is the product of the number itself. The square of 844 is 844 × 844. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 844², where 844 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 844 is 844 × 844 = 712336.
Square of 844 in exponential form: 844²
Square of 844 in arithmetic form: 844 × 844
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How to Calculate the Value of Square of 844
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 844.
Step 1: Identify the number. Here, the number is 844
Step 2: Multiplying the number by itself, we get, 844 × 844 = 712336.
The square of 844 is 712336.
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 844 So: 844² = 844 × 844 = 712336
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 844.
Step 1: Enter the number in the calculator Enter 844 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 844 × 844
Step 3: Press the equal to button to find the answer Here, the square of 844 is 712336.
Tips and Tricks for the Square of 844
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 844
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 swap 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 in using the formula.
The formula to find the square of the number is a². Instead, students may use 844² with (8 + 4 + 4)² or (800 + 40 + 4)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing square with 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 errors.
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.
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Solved Examples on Square of 844
Problem 1
Find the length of the square, where the area of the square is 712336 cm².
The area of a square = a²
So, the area of a square = 712336 cm²
So, the length = √712336 = 844.
The length of each side = 844 cm
Explanation
The length of a square is 844 cm.
Because the area is 712336 cm², the length is √712336 = 844.
Problem 2
Sarah wants to carpet her square room with a length of 844 feet. The cost to carpet a foot is 2 dollars. How much will it cost to carpet the full floor?
The length of the room = 844 feet
The cost to carpet 1 square foot of the floor = 2 dollars.
To find the total cost to carpet, we find the area of the floor,
Area of the floor = area of the square = a²
Here a = 844
Therefore, the area of the floor = 844² = 844 × 844 = 712336.
The cost to carpet the floor = 712336 × 2 = 1424672.
The total cost = 1424672 dollars
Explanation
To find the cost to carpet the floor, we multiply the area of the floor by the cost to carpet per foot. So, the total cost is 1424672 dollars.
Problem 3
Find the area of a circle whose radius is 844 meters.
The area of the circle = 2237754.32 m²
Explanation
The area of a circle = πr²
Here, r = 844
Therefore, the area of the circle = π × 844² = 3.14 × 844 × 844 = 2237754.32 m².
Problem 4
The area of the square is 712336 cm². Find the perimeter of the square.
The perimeter of the square is 3376 cm
Explanation
The area of the square = a²
Here, the area is 712336 cm²
The length of the side is √712336 = 844
Perimeter of the square = 4a
Here, a = 844
Therefore, the perimeter = 4 × 844 = 3376.
Problem 5
Find the square of 845.
The square of 845 is 714025
Explanation
The square of 845 is multiplying 845 by 845.
So, the square = 845 × 845 = 714025
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FAQs on Square of 844
1.What is the square of 844?
2.What is the square root of 844²?
3.Is 844 a prime number?
4.What are the first few multiples of 844?
5.What is the square of 843?
6.How does learning Algebra help students in Singapore make better decisions in daily life?
7.How can cultural or local activities in Singapore support learning Algebra topics such as Square of 844?
8.How do technology and digital tools in Singapore support learning Algebra and Square of 844?
9.Does learning Algebra support future career opportunities for students in Singapore?
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Important Glossaries for Square of 844.
- Perfect Square: A perfect square is a number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.
- Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
- Even number: An even number is a number that is divisible by 2 without a remainder.
- Multiplication method: A method of finding the square of a number by multiplying the number by itself.
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Jaskaran Singh Saluja
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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.
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