Last updated on June 3rd, 2025
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.
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
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.
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.
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
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 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.
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.
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
The length of a square is 45 cm. Because the area is 2025 cm² the length is √2025 = 45.
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
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.
Find the area of a circle whose radius is 45 meters.
The area of the circle = 6,361.5 m²
The area of a circle = πr²
Here, r = 45
Therefore, the area of the circle = π × 45²
= 3.14 × 45 × 45
= 6361.5 m².
The area of the square is 2025 cm². Find the perimeter of the square.
The perimeter of the square is 180 cm.
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.
Find the square of 46.
The square of 46 is 2116.
The square of 46 is multiplying 46 by 46. So, the square = 46 × 46 = 2116.
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.
: He loves to play the quiz with kids through algebra to make kids love it.