112 LearnersLast updated on May 26th, 2025
Square of 347
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 347.
What is the Square of 347
The square of a number is the product of the number itself. The square of 347 is 347 × 347. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 347², where 347 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 347 is 347 × 347 = 120,409. Square of 347 in exponential form: 347² Square of 347 in arithmetic form: 347 × 347
How to Calculate the Value of Square of 347
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 347. Step 1: Identify the number. Here, the number is 347. Step 2: Multiplying the number by itself, we get, 347 × 347 = 120,409. The square of 347 is 120,409.
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 347. So: 347² = 347 × 347 = 120,409
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 347. Step 1: Enter the number in the calculator Enter 347 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×) That is 347 × 347 Step 3: Press the equal to button to find the answer Here, the square of 347 is 120,409. Tips and Tricks for the Square of 347 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 347
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 when using the formula.
The formula to find the square of the number is a². Instead, students may use 347² incorrectly, such as (34 + 7)² or (300 + 47)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing 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 perform 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 practice regularly to avoid errors.
Solved Examples on Square of 347
Problem 1
Find the length of the square where the area of the square is 120,409 cm².
The area of a square = a² So, the area of a square = 120,409 cm² So, the length = √120,409 = 347. The length of each side = 347 cm
Explanation
The length of a square is 347 cm because the area is 120,409 cm², and the length is √120,409 = 347.
Problem 2
Sarah is planning to paint her square garden wall of length 347 feet. The cost to paint a square foot is 2 dollars. How much will it cost to paint the full wall?
The length of the wall = 347 feet The cost to paint 1 square foot of the wall = 2 dollars. To find the total cost to paint, we find the area of the wall, Area of the wall = area of the square = a² Here a = 347 Therefore, the area of the wall = 347² = 120,409. The cost to paint the wall = 120,409 × 2 = 240,818. The total cost = 240,818 dollars
Explanation
To find the cost to paint the wall, we multiply the area of the wall by the cost to paint per foot. So, the total cost is 240,818 dollars.
Problem 3
Find the area of a circle whose radius is 347 meters.
The area of the circle = 378,965.28 m²
Explanation
The area of a circle = πr² Here, r = 347 Therefore, the area of the circle = π × 347² = 3.14 × 347 × 347 = 378,965.28 m².
Problem 4
The area of the square is 120,409 cm². Find the perimeter of the square.
The perimeter of the square is 1,388 cm.
Explanation
The area of the square = a² Here, the area is 120,409 cm² The length of the side is √120,409 = 347 Perimeter of the square = 4a Here, a = 347 Therefore, the perimeter = 4 × 347 = 1,388.
Problem 5
Find the square of 348.
The square of 348 is 121,104
Explanation
The square of 348 is multiplying 348 by 348. So, the square = 348 × 348 = 121,104
FAQs on Square of 347
1.What is the square of 347?
2.What is the square root of 347?
3.Is 347 a prime number?
4.What are the first few multiples of 347?
5.What is the square of 346?
6.How does learning Algebra help students in Australia make better decisions in daily life?
7.How can cultural or local activities in Australia support learning Algebra topics such as Square of 347?
8.How do technology and digital tools in Australia support learning Algebra and Square of 347?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Square 347.
Prime number: A number that is only divisible by 1 and itself is a prime number. For example, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, etc. Exponential form: Exponential form is the way of writing a number in the form of powers. For example, 9² where 9 is the base and 2 is the exponent. Square root: The square root is the inverse operation of squaring a number. The square root of a number is a value that, when multiplied by itself, gives the original number. Perfect square: A perfect square is a number that is the square of an integer. For example, 1, 4, 9, 16, 25, etc. Area of a square: The area of a square is the space within its boundaries and is calculated as the side length squared (a²).
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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.
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