114 LearnersLast updated on May 26th, 2025
Square of 358
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 358.
What is the Square of 358
The square of a number is the product of the number with itself. The square of 358 is 358 × 358. The square of a number can end in 0, 1, 4, 5, 6, or 9. It is written in math as 358², where 358 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 358 is 358 × 358 = 128,164. Square of 358 in exponential form: 358² Square of 358 in arithmetic form: 358 × 358
How to Calculate the Value of Square of 358
The square of a number is found by multiplying the number by itself. Let’s explore different methods to find the square of a number. By Multiplication Method Using a Formula Using a Calculator
By the Multiplication method
In this method, we multiply the number by itself to find the square. The product is the square of the number. Let’s find the square of 358. Step 1: Identify the number. Here, the number is 358. Step 2: Multiplying the number by itself, we get, 358 × 358 = 128,164. The square of 358 is 128,164.
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 358 So: 358² = 358 × 358 = 128,164
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 358. Step 1: Enter the number in the calculator Enter 358 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×). That is 358 × 358 Step 3: Press the equals button to find the answer Here, the square of 358 is 128,164. Tips and Tricks for the Square of 358 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 358
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 steps or swap digits. To avoid this, students should double-check their answers. They can verify 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 incorrectly use (3 + 5 + 8)² or (350 + 8)². Students should check and use the correct formula and double-check the answers to avoid confusion.
Mistake 3
Confusing square with square root.
Not understanding the concept of square and square root can lead to confusion. 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 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 358
Problem 1
Find the length of the square, where the area of the square is 128,164 cm².
The area of a square = a² So, the area of a square = 128,164 cm² So, the length = √128,164 = 358. The length of each side = 358 cm
Explanation
The length of a square is 358 cm. Because the area is 128,164 cm², the length is √128,164 = 358.
Problem 2
Emma is planning to carpet her square room of length 358 feet. The cost to carpet a foot is 2 dollars. How much will it cost to carpet the full room?
The length of the room = 358 feet The cost to carpet 1 square foot = 2 dollars. To find the total cost to carpet, we find the area of the room, Area of the room = area of the square = a² Here a = 358 Therefore, the area of the room = 358² = 358 × 358 = 128,164. The cost to carpet the room = 128,164 × 2 = 256,328. The total cost = 256,328 dollars
Explanation
To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot. So, the total cost is 256,328 dollars.
Problem 3
Find the area of a circle whose radius is 358 meters.
The area of the circle = 402,123.08 m²
Explanation
The area of a circle = πr² Here, r = 358 Therefore, the area of the circle = π × 358² = 3.14 × 358 × 358 = 402,123.08 m².
Problem 4
The area of a square is 128,164 cm². Find the perimeter of the square.
The perimeter of the square is 1,432 cm.
Explanation
The area of the square = a² Here, the area is 128,164 cm² The length of the side is √128,164 = 358 Perimeter of the square = 4a Here, a = 358 Therefore, the perimeter = 4 × 358 = 1,432.
Problem 5
Find the square of 359.
The square of 359 is 128,881
Explanation
The square of 359 is obtained by multiplying 359 by 359. So, the square = 359 × 359 = 128,881
FAQs on Square of 358
1.What is the square of 358?
2.What is the square root of 358?
3.Is 358 a prime number?
4.What are the first few multiples of 358?
5.What is the square of 360?
6.How does learning Algebra help students in Qatar make better decisions in daily life?
7.How can cultural or local activities in Qatar support learning Algebra topics such as Square of 358?
8.How do technology and digital tools in Qatar support learning Algebra and Square of 358?
9.Does learning Algebra support future career opportunities for students in Qatar?
Important Glossaries for Square of 358.
Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12². Exponential form: A way of writing numbers using a base and an exponent, such as 358². Square root: The number that, when multiplied by itself, gives the original number. For example, the square root of 144 is 12. Multiplication method: A method to find the square of a number by multiplying the number by itself. Perimeter: The total length around a two-dimensional shape, such as a square, calculated as 4 times the side length for squares.
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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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