114 LearnersLast updated on June 2nd, 2025
Square of 487
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 487.
What is the Square of 487
The square of a number is the product of the number itself.
The square of 487 is 487 × 487.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 487², where 487 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 487 is 487 × 487 = 237169.
Square of 487 in exponential form: 487²
Square of 487 in arithmetic form: 487 × 487
How to Calculate the Value of Square of 487
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 487.
Step 1: Identify the number. Here, the number is 487.
Step 2: Multiplying the number by itself, we get, 487 × 487 = 237169.
The square of 487 is 237169.
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 487
So: 487² = 487 × 487 = 237169
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 487.
Step 1: Enter the number in the calculator. Enter 487 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×). That is 487 × 487
Step 3: Press the equal to button to find the answer. Here, the square of 487 is 237169.
Tips and Tricks for the Square of 487
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 487
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 will be using the formula.
The formula to find the square of the number is a². Instead, students may use 487² with (4+8+7)² or (400+80+7)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with 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 487
Problem 1
Find the length of the square, where the area of the square is 237169 cm².
The area of a square = a²
So, the area of a square = 237169 cm²
So, the length = √237169 = 487.
The length of each side = 487 cm
Explanation
The length of a square is 487 cm.
Because the area is 237169 cm² the length is √237169 = 487.
Problem 2
Alice is designing a square garden with a length of 487 feet. The cost to lay grass per square foot is 2 dollars. How much will it cost to cover the entire garden?
The length of the garden = 487 feet
The cost to lay grass per square foot = 2 dollars.
To find the total cost, we find the area of the garden.
Area of the garden = area of the square = a²
Here a = 487
Therefore, the area of the garden = 487² = 487 × 487 = 237169.
The cost to lay grass in the garden = 237169 × 2 = 474338.
The total cost = 474338 dollars
Explanation
To find the cost to lay grass in the garden, we multiply the area of the garden by the cost to lay grass per square foot. So, the total cost is 474338 dollars.
Problem 3
Find the area of a circle whose radius is 487 meters.
The area of the circle = 745575.14 m²
Explanation
The area of a circle = πr²
Here, r = 487
Therefore, the area of the circle = π × 487² = 3.14 × 487 × 487 = 745575.14 m².
Problem 4
The area of the square is 237169 cm². Find the perimeter of the square.
The perimeter of the square is 1948 cm.
Explanation
The area of the square = a²
Here, the area is 237169 cm²
The length of the side is √237169 = 487
Perimeter of the square = 4a
Here, a = 487
Therefore, the perimeter = 4 × 487 = 1948.
Problem 5
Find the square of 488.
The square of 488 is 238144
Explanation
The square of 488 is multiplying 488 by 488. So, the square = 488 × 488 = 238144
FAQs on Square of 487
1.What is the square of 487?
2.What is the square root of 487?
3.Is 487 a prime number?
4.What are the first few multiples of 487?
5.What is the square of 486?
6.How does learning Algebra help students in Singapore make better decisions in daily life?
7.How can cultural or local activities in Singapore support learning Algebra topics such as Square of 487?
8.How do technology and digital tools in Singapore support learning Algebra and Square of 487?
9.Does learning Algebra support future career opportunities for students in Singapore?
Important Glossaries for Square 487.
- Prime number: Any number that is only divisible by 1 and the number itself is a prime number. For example, 2, 3, 5, 487, ...
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.
- Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
- Perfect square: A perfect square is an integer that is the square of an integer. For example, 144 is a perfect square since it is 12².
- Area: Area is the measure of the extent of a two-dimensional surface or shape. For example, the area of a square with side length 'a' is a².
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About BrightChamps in Singapore
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.
