125 LearnersLast updated on May 29th, 2025
Square of 9025
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 9025.
What is the Square of 9025
The square of a number is the product of the number with itself.
The square of 9025 is 9025 × 9025.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 9025², where 9025 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 9025 is 9025 × 9025 = 81450625.
Square of 9025 in exponential form: 9025²
Square of 9025 in arithmetic form: 9025 × 9025
How to Calculate the Value of Square of 9025
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
- 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 9025.
Step 1: Identify the number. Here, the number is 9025
Step 2: Multiplying the number by itself, we get, 9025 × 9025 = 81450625.
The square of 9025 is 81450625.
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 9025
So: 9025² = 9025 × 9025 = 81450625
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 9025.
Step 1: Enter the number in the calculator Enter 9025 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 9025 × 9025
Step 3: Press the equal to button to find the answer Here, the square of 9025 is 81450625.
Tips and Tricks for the Square of 9025
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 9025
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 625 is 390625, and the square root of 390625 is ±625.
Mistake 2
Errors while using the formula.
The formula to find the square of the number is a². Instead, students may use 9025² with (9 + 0 + 2 + 5)² or (9000 + 25)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 errors.
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 9025
Problem 1
Find the length of the square, where the area of the square is 81450625 cm².
The area of a square = a² So, the area of a square = 81450625 cm² So, the length = √81450625 = 9025. The length of each side = 9025 cm
Explanation
The length of a square is 9025 cm.
Because the area is 81450625 cm², the length is √81450625 = 9025.
Problem 2
Alex is planning to carpet his square floor of length 9025 feet. The cost to carpet one square foot is 15 dollars. Then how much will it cost to carpet the full floor?
The length of the floor = 9025 feet The cost to carpet 1 square foot of floor = 15 dollars. To find the total cost to carpet, we find the area of the floor, Area of the floor = area of the square = a² Here a = 9025 Therefore, the area of the floor = 9025² = 9025 × 9025 = 81450625. The cost to carpet the floor = 81450625 × 15 = 1221759375. The total cost = 1,221,759,375 dollars
Explanation
To find the cost to carpet the floor, we multiply the area of the floor by the cost to carpet per foot.
So, the total cost is 1,221,759,375 dollars.
Problem 3
Find the area of a circle whose radius is 9025 meters.
The area of the circle = 256011358.25 m²
Explanation
The area of a circle = πr²
Here, r = 9025
Therefore, the area of the circle = π × 9025² = 3.14 × 9025 × 9025 = 256011358.25 m².
Problem 4
The area of the square is 81450625 cm². Find the perimeter of the square.
The perimeter of the square is 36100 cm.
Explanation
The area of the square = a²
Here, the area is 81450625 cm²
The length of the side is √81450625 = 9025
Perimeter of the square = 4a
Here, a = 9025
Therefore, the perimeter = 4 × 9025 = 36100 cm.
Problem 5
Find the square of 9026.
The square of 9026 is 81468676.
Explanation
The square of 9026 is multiplying 9026 by 9026.
So, the square = 9026 × 9026 = 81468676.
FAQs on Square of 9025
1.What is the square of 9025?
2.What is the square root of 9025?
3.Is 9025 a perfect square?
4.What are the first few multiples of 9025?
5.What is the square of 9024?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of 9025?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 9025?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square of 9025
- Perfect square: A number that is the square of an integer. For example, 9025 is a perfect square because 95² = 9025.
- Exponential form: Exponential form is a way of writing numbers using bases and exponents. For example, 9025², where 9025 is the base and 2 is the exponent.
- Square root: The square root is the inverse operation of squaring a number. For example, the square root of 9025 is 95.
- Multiplication method: A method used to calculate the square of a number by multiplying it by itself.
- Area: The measure of space inside a two-dimensional shape, calculated differently depending on the shape. For example, the area of a square is a², where a is the side length.
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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.
Fun Fact
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