131 LearnersLast updated on May 27th, 2025
Square of 3025
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 3025.
What is the Square of 3025
The square of a number is the product of the number itself.
The square of 3025 is 3025 × 3025.
The square of a number may end in any digit but frequently ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 3025², where 3025 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 3025 is 3025 × 3025 = 9,150,625.
Square of 3025 in exponential form: 3025²
Square of 3025 in arithmetic form: 3025 × 3025
How to Calculate the Value of Square of 3025
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 3025.
Step 1: Identify the number. Here, the number is 3025.
Step 2: Multiplying the number by itself, we get, 3025 × 3025 = 9,150,625.
The square of 3025 is 9,150,625.
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 3025 So: 3025² = 3025 × 3025 = 9,150,625
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 3025.
Step 1: Enter the number in the calculator Enter 3025 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 3025 × 3025
Step 3: Press the equal button to find the answer Here, the square of 3025 is 9,150,625.
Tips and Tricks for the Square of 3025
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 frequently 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 3025
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 will be using the formula.
The formula to find the square of the number is a². Instead, students may mistakenly alter the formula or misapply it. 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 3025
Problem 1
Find the length of the square, where the area of the square is 9,150,625 cm².
The area of a square = a²
So, the area of a square = 9,150,625 cm²
So, the length = √9,150,625 = 3025.
The length of each side = 3025 cm
Explanation
The length of a square is 3025 cm.
Because the area is 9,150,625 cm², the length is √9,150,625 = 3025.
Problem 2
Alex is planning to tile his square garden of length 3025 feet. The cost to tile a foot is 4 dollars. Then how much will it cost to tile the full garden?
The length of the garden = 3025 feet
The cost to tile 1 square foot of garden = 4 dollars.
To find the total cost to tile, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 3025
Therefore, the area of the garden = 3025² = 3025 × 3025 = 9,150,625.
The cost to tile the garden = 9,150,625 × 4 = 36,602,500.
The total cost = 36,602,500 dollars
Explanation
To find the cost to tile the garden, we multiply the area of the garden by cost to tile per foot.
So, the total cost is 36,602,500 dollars.
Problem 3
Find the area of a circle whose radius is 3025 meters.
The area of the circle = 28,773,484.43 m²
Explanation
The area of a circle = πr²
Here, r = 3025
Therefore, the area of the circle = π × 3025² = 3.14 × 3025 × 3025 = 28,773,484.43 m².
Problem 4
The area of the square is 9,150,625 cm². Find the perimeter of the square.
The perimeter of the square is 12,100 cm
Explanation
The area of the square = a²
Here, the area is 9,150,625 cm²
The length of the side is √9,150,625 = 3025
Perimeter of the square = 4a
Here, a = 3025
Therefore, the perimeter = 4 × 3025 = 12,100.
Problem 5
Find the square of 3030.
The square of 3030 is 9,180,900
Explanation
The square of 3030 is multiplying 3030 by 3030.
So, the square = 3030 × 3030 = 9,180,900
FAQs on Square of 3025
1.What is the square of 3025?
2.What is the square root of 3025?
3.Is 3025 a perfect square?
4.What are the first few multiples of 3025?
5.What is the square of 3000?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 3025?
8.How do technology and digital tools in United States support learning Algebra and Square of 3025?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 3025.
- Perfect Square: A number that has an integer as its square root. For example, 3025 is a perfect square.
- Exponential Form: A way of representing repeated multiplication of a number, like 3025².
- Square Root: The number which produces a specified quantity when multiplied by itself. For example, the square root of 3025 is 55.
- Odd Number: An integer which is not divisible by 2. For example, 5, 7, 9, etc.
- Even Number: An integer which is divisible by 2. For example, 2, 4, 6, etc.
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Jaskaran Singh Saluja
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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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