101 LearnersLast updated on May 27th, 2025
Square of 558
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 558.
What is the Square of 558
The square of a number is the product of the number with itself.
The square of 558 is 558 × 558.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 558², where 558 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 558 is 558 × 558 = 311,364.
Square of 558 in exponential form: 558²
Square of 558 in arithmetic form: 558 × 558
How to Calculate the Value of Square of 558
The square of a number involves 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(a2)
- 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 558.
Step 1: Identify the number. Here, the number is 558.
Step 2: Multiplying the number by itself, we get, 558 × 558 = 311,364.
The square of 558 is 311,364.
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 558. So: 558² = 558 × 558 = 311,364
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 558.
Step 1: Enter the number in the calculator. Enter 558 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 558 × 558.
Step 3: Press the equal to button to find the answer. Here, the square of 558 is 311,364.
Tips and Tricks for the Square of 558
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 558
Mistakes are common among kids when doing math, especially when it involves 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 558
Problem 1
Find the length of the square, where the area of the square is 311,364 cm².
The area of a square = a²
So, the area of a square = 311,364 cm²
So, the length = √311,364 = 558.
The length of each side = 558 cm
Explanation
The length of a square is 558 cm.
Because the area is 311,364 cm², the length is √311,364 = 558.
Problem 2
Sarah is planning to paint her square wall of length 558 feet. The cost to paint a foot is 5 dollars. How much will it cost to paint the full wall?
The length of the wall = 558 feet
The cost to paint 1 square foot of wall = 5 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 = 558
Therefore, the area of the wall = 558² = 558 × 558 = 311,364.
The cost to paint the wall = 311,364 × 5 = 1,556,820.
The total cost = 1,556,820 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 1,556,820 dollars.
Problem 3
Find the area of a circle whose radius is 558 meters.
The area of the circle = 978,121.44 m²
Explanation
The area of a circle = πr²
Here, r = 558
Therefore, the area of the circle = π × 558² = 3.14 × 558 × 558 = 978,121.44 m².
Problem 4
The area of the square is 313,600 cm². Find the perimeter of the square.
The perimeter of the square is 2,240 cm.
Explanation
The area of the square = a²
Here, the area is 313,600 cm²
The length of the side is √313,600 = 560
Perimeter of the square = 4a
Here, a = 560
Therefore, the perimeter = 4 × 560 = 2,240.
Problem 5
Find the square of 559.
The square of 559 is 312,481.
Explanation
The square of 559 is multiplying 559 by 559.
So, the square = 559 × 559 = 312,481.
FAQs on Square of 558
1.What is the square of 558?
2.What is the square root of 558?
3.Is 558 a prime number?
4.What are the first few multiples of 558?
5.What is the square of 557?
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 558?
8.How do technology and digital tools in Australia support learning Algebra and Square of 558?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Square of 558
- Square number: A number that is the square of an integer. For example, 36 is a square number because it is 6².
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Exponent: Represents the number of times a number is multiplied by itself. For example, in 5², 2 is the exponent.
- Even number: A number divisible by 2 without a remainder. For example, 4, 6, 8, and so on.
- Multiplication: The process of finding the product by multiplying two or more numbers.
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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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