121 LearnersLast updated on May 26th, 2025
Square of 60
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 the topic, we will discuss the square of 60.
What is the Square of 60
The square of a number is the product of the number itself.
The square of 60 is 60 × 60.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 60², where 60 is the base and 2 is the exponent.
The square of a positive and a negative number is always positive. For example, 5² = 25; (-5)² = 25.
The square of 60 is 60 × 60 = 3600.
Square of 60 in exponential form: 60²
Square of 60 in arithmetic form: 60 × 60
How to Calculate the Value of Square of 60
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 60.
Step 1: Identify the number. Here, the number is 60.
Step 2: Multiplying the number by itself, we get, 60 × 60 = 3600.
The square of 60 is 3600.
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 60.
So: 60² = 60 × 60 = 3600
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 60.
Step 1: Enter the number in the calculator
Enter 60 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×)
That is 60 × 60
Step 3: Press the equal to button to find the answer
Here, the square of 60 is 3600.
Tips and Tricks for the Square of 60 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 60
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 swap 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 60² with (6 + 0)² or (50 + 10)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 60
Problem 1
Find the length of the square, where the area of the square is 3600 cm².
The area of a square = a²
So, the area of a square = 3600 cm²
So, the length = √3600 = 60.
The length of each side = 60 cm
Explanation
The length of a square is 60 cm.
Because the area is 3600 cm² the length is √3600 = 60.
Problem 2
Sarah wants to carpet her square room of length 60 feet. The cost to carpet a foot is 5 dollars. How much will it cost to carpet the full room?
The length of the room = 60 feet
The cost to carpet 1 square foot of the room = is 5 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 = 60
Therefore, the area of the room = 60² = 60 × 60 = 3600.
The cost to carpet the room = 3600 × 5 = 18000.
The total cost = 18000 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 18000 dollars.
Problem 3
Find the area of a circle whose radius is 60 meters.
The area of the circle = 11,304 m²
Explanation
The area of a circle = πr²
Here, r = 60
Therefore, the area of the circle = π × 60² = 3.14 × 60 × 60 = 11304 m².
Problem 4
The area of a square is 3600 cm². Find the perimeter of the square.
The perimeter of the square is 240 cm.
Explanation
The area of the square = a²
Here, the area is 3600 cm²
The length of the side is √3600 = 60
Perimeter of the square = 4a
Here, a = 60 Therefore, the perimeter = 4 × 60 = 240 cm.
Problem 5
Find the square of 61.
The square of 61 is 3721.
Explanation
The square of 61 is multiplying 61 by 61.
So, the square = 61 × 61 = 3721
FAQs on Square of 60
1.What is the square of 60?
2.What is the square root of 60?
3.Is 60 a prime number?
4.What are the first few multiples of 60?
5.What is the square of 59?
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 60?
8.How do technology and digital tools in Singapore support learning Algebra and Square of 60?
9.Does learning Algebra support future career opportunities for students in Singapore?
Important Glossaries for Square 60.
- Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, etc.
- 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.
- Even number: Any integer that is divisible by 2 without a remainder. For example, 2, 4, 6, 8, 10, etc.
- Odd number: Any integer that is not divisible by 2. For example, 1, 3, 5, 7, 9, etc.
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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.
