117 LearnersLast updated on June 2nd, 2025
Square of 488
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 488.
What is the Square of 488
The square of a number is the product of the number itself.
The square of 488 is 488 × 488.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 488², where 488 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 488 is 488 × 488 = 238,144.
Square of 488 in exponential form: 488²
Square of 488 in arithmetic form: 488 × 488
How to Calculate the Value of Square of 488
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 (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 488.
Step 1: Identify the number. Here, the number is 488.
Step 2: Multiplying the number by itself, we get, 488 × 488 = 238,144.
The square of 488 is 238,144.
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 488.
So: 488² = 488 × 488 = 238,144
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 488.
Step 1: Enter the number in the calculator. Enter 488 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 488 × 488.
Step 3: Press the equal to button to find the answer. Here, the square of 488 is 238,144.
Tips and Tricks for the Square of 488
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 488
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 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.
Mistake 2
Errors while using the formula.
The formula to find the square of the number is a². Instead, students may use 488² with (4+8+8)² or (400+80+8)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 do the operations in the correct order to avoid error.
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.
Solved Examples on Square of 488
Problem 1
A square garden has an area of 238,144 square meters. What is the length of each side of the garden?
The area of a square = a²
So, the area of a square = 238,144 m²
So, the length = √238,144 = 488.
The length of each side = 488 m
Explanation
The length of a square is 488 m. Because the area is 238,144 m², the length is √238,144 = 488.
Problem 2
Sarah is laying tiles on her square kitchen floor, which has a length of 488 inches. If each tile costs $5, how much will it cost to cover the entire floor?
The length of the floor = 488 inches
The cost to cover 1 square inch of floor = $5.
To find the total cost to cover, we find the area of the floor.
Area of the floor = area of the square = a²
Here a = 488
Therefore, the area of the floor = 488² = 488 × 488 = 238,144.
The cost to cover the floor = 238,144 × 5 = 1,190,720.
The total cost = $1,190,720
Explanation
To find the cost to cover the floor, we multiply the area of the floor by the cost to cover per square inch. So, the total cost is $1,190,720.
Problem 3
Find the area of a circle whose radius is 488 meters.
The area of the circle = 747,699.52 m²
Explanation
The area of a circle = πr²
Here, r = 488
Therefore, the area of the circle = π × 488² = 3.14 × 488 × 488 = 747,699.52 m².
Problem 4
The area of the square is 238,144 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 238,144 cm²
The length of the side is √238,144 = 488
Perimeter of the square = 4a
Here, a = 488
Therefore, the perimeter = 4 × 488 = 1,952.
Problem 5
Find the square of 489.
The square of 489 is 239,121
Explanation
The square of 489 is multiplying 489 by 489.
So, the square = 489 × 489 = 239,121
FAQs on Square of 488
1.What is the square of 488?
2.What is the square root of 488?
3.Is 488 a prime number?
4.What are the first few multiples of 488?
5.What is the square of 486?
6.How does learning Algebra help students in Saudi Arabia make better decisions in daily life?
7.How can cultural or local activities in Saudi Arabia support learning Algebra topics such as Square of 488?
8.How do technology and digital tools in Saudi Arabia support learning Algebra and Square of 488?
9.Does learning Algebra support future career opportunities for students in Saudi Arabia?
Important Glossaries for Square 488
- Square: The result of multiplying a number by itself.
- Exponential Form: Writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.
- Perfect Square: A number that is the square of an integer.
- Even Number: A number divisible by 2 without any remainder.
- Odd Number: A number not divisible by 2.
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About BrightChamps in Saudi Arabia
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
: He loves to play the quiz with kids through algebra to make kids love it.
