136 LearnersLast updated on June 3rd, 2025
Square of 45
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 45.
What is the Square of 45
The square of a number is the product of the number itself. The square of 45 is 45 × 45. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 45², where 45 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 45 is 45 × 45 = 2025.
Square of 45 in exponential form: 45²
Square of 45 in arithmetic form: 45 × 45
How to Calculate the Value of Square of 45
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 45.
Step 1: Identify the number. Here, the number is 45.
Step 2: Multiplying the number by itself, we get, 45 × 45 = 2025.
The square of 45 is 2025.
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 45.
So: 45² = 45 × 45 = 2025
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 45.
Step 1: Enter the number in the calculator Enter 45 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 45 × 45
Step 3: Press the equal to button to find the answer Here, the square of 45 is 2025.
Tips and Tricks for the Square of 45
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 45
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 when using the formula.
The formula to find the square of the number is a². Instead, students may use 45² with (4 + 5)² or (40 + 5)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 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 45
Problem 1
Find the length of the square, where the area of the square is 2025 cm².
The area of a square = a²
So, the area of a square = 2025 cm²
So, the length = √2025 = 45.
The length of each side = 45 cm
Explanation
The length of a square is 45 cm. Because the area is 2025 cm² the length is √2025 = 45.
Problem 2
Sarah wants to tile her square patio of length 45 feet. The cost to tile a square foot is 4 dollars. How much will it cost to tile the entire patio?
The length of the patio = 45 feet
The cost to tile 1 square foot of the patio = 4 dollars.
To find the total cost to tile, we find the area of the patio,
Area of the patio = area of the square = a²
Here a = 45
Therefore, the area of the patio = 45² = 45 × 45 = 2025.
The cost to tile the patio = 2025 × 4 = 8100.
The total cost = 8100 dollars
Explanation
To find the cost to tile the patio, we multiply the area of the patio by the cost to tile per foot. So, the total cost is 8100 dollars.
Problem 3
Find the area of a circle whose radius is 45 meters.
The area of the circle = 6,361.5 m²
Explanation
The area of a circle = πr²
Here, r = 45
Therefore, the area of the circle = π × 45²
= 3.14 × 45 × 45
= 6361.5 m².
Problem 4
The area of the square is 2025 cm². Find the perimeter of the square.
The perimeter of the square is 180 cm.
Explanation
The area of the square = a²
Here, the area is 2025 cm²
The length of the side is √2025 = 45
Perimeter of the square = 4a
Here, a = 45
Therefore, the perimeter = 4 × 45 = 180.
Problem 5
Find the square of 46.
The square of 46 is 2116.
Explanation
The square of 46 is multiplying 46 by 46. So, the square = 46 × 46 = 2116.
FAQs on Square of 45
1.What is the square of 45?
2.What is the square root of 45?
3.Is 45 a prime number?
4.What are the first few multiples of 45?
5.What is the square of 44?
6.How does learning Algebra help students in Bahrain make better decisions in daily life?
7.How can cultural or local activities in Bahrain support learning Algebra topics such as Square of 45?
8.How do technology and digital tools in Bahrain support learning Algebra and Square of 45?
9.Does learning Algebra support future career opportunities for students in Bahrain?
Important Glossaries for Square of 45.
- Perfect square: A perfect square is a number that is the square of an integer. For example, 4, 9, 16 are perfect squares.
- Exponent: The exponent is the power to which a number is raised. For example, in 45², 2 is the exponent.
- Odd number: An odd number is an integer that is not divisible by 2. For example, 1, 3, 5, 7 are odd numbers.
- Even number: An even number is an integer that is divisible by 2. For example, 2, 4, 6, 8 are even numbers.
- 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.
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About BrightChamps in Bahrain
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.
