116 LearnersLast updated on May 26th, 2025
Square of 357
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 357.
What is the Square of 357
The square of a number is the product of the number with itself. The square of 357 is 357 × 357. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 357², where 357 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 357 is 357 × 357 = 127449. Square of 357 in exponential form: 357² Square of 357 in arithmetic form: 357 × 357
How to Calculate the Value of Square of 357
The square of a number is obtained by 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 357. Step 1: Identify the number. Here, the number is 357. Step 2: Multiplying the number by itself, we get, 357 × 357 = 127449. The square of 357 is 127449.
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 357. So: 357² = 357 × 357 = 127449
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 357. Step 1: Enter the number in the calculator. Enter 357 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×). That is 357 × 357 Step 3: Press the equal button to find the answer. Here, the square of 357 is 127449. Tips and Tricks for the Square of 357 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 357
Mistakes are common among kids when doing math, especially when it comes to 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 this, students should double-check their answers. 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 357² with (3+5+7)² or (300+50+7)². Students should check and use the correct formula and double-check their 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 in students. To avoid this, 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 357
Problem 1
Find the length of the square, where the area of the square is 127449 cm².
The area of a square = a² So, the area of a square = 127449 cm² So, the length = √127449 = 357. The length of each side = 357 cm
Explanation
The length of a square is 357 cm. Because the area is 127449 cm², the length is √127449 = 357.
Problem 2
Sarah plans to tile her square floor, which has a length of 357 feet. The cost to tile one square foot is 5 dollars. How much will it cost to tile the entire floor?
The length of the floor = 357 feet The cost to tile 1 square foot of floor = 5 dollars. To find the total cost to tile, we find the area of the floor, Area of the floor = area of the square = a² Here a = 357 Therefore, the area of the floor = 357² = 357 × 357 = 127449. The cost to tile the floor = 127449 × 5 = 637245. The total cost = 637245 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 637245 dollars.
Problem 3
Find the area of a circle whose radius is 357 meters.
The area of the circle = 400,778.1 m²
Explanation
The area of a circle = πr² Here, r = 357 Therefore, the area of the circle = π × 357² = 3.14 × 357 × 357 = 400,778.1 m².
Problem 4
The area of the square is 127449 cm². Find the perimeter of the square.
The perimeter of the square is 1428 cm.
Explanation
The area of the square = a² Here, the area is 127449 cm² The length of the side is √127449 = 357 Perimeter of the square = 4a Here, a = 357 Therefore, the perimeter = 4 × 357 = 1428 cm.
Problem 5
Find the square of 358.
The square of 358 is 128164.
Explanation
The square of 358 is obtained by multiplying 358 by 358. So, the square = 358 × 358 = 128164.
FAQs on Square of 357
1.What is the square of 357?
2.What is the square root of 357?
3.Is 357 a prime number?
4.What are the first few multiples of 357?
5.What is the square of 356?
6.How does learning Algebra help students in Canada make better decisions in daily life?
7.How can cultural or local activities in Canada support learning Algebra topics such as Square of 357?
8.How do technology and digital tools in Canada support learning Algebra and Square of 357?
9.Does learning Algebra support future career opportunities for students in Canada?
Important Glossaries for Square of 357
Square: The result of multiplying a number by itself. For example, the square of 5 is 25. Perfect Square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12². Prime Number: A number greater than 1 that has no divisors other than 1 and itself. For example, 37 is a prime number. Exponential Form: Writing a number using a base and an exponent. For example, 9² where 9 is the base and 2 is the exponent. Square Root: A value that, when multiplied by itself, gives the original number. For example, the square root of 144 is 12.
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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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