Last updated on May 30th, 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 1125.
The square of a number is the product of the number with itself.
The square of 1125 is 1125 × 1125.
We write it in math as \(1125^2\), where 1125 is the base and 2 is the exponent.
The square of a positive and a negative number is always positive.
For example, \(5^2 = 25\); \((-5)^2 = 25\).
The square of 1125 is \(1125 × 1125 = 1,265,625\).
Square of 1125 in exponential form: \(1125^2\)
Square of 1125 in arithmetic form: 1125 × 1125
The square of a number is found by multiplying the number by itself. 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 1125.
Step 1: Identify the number. Here, the number is 1125.
Step 2: Multiplying the number by itself, we get, 1125 × 1125 = 1,265,625.
The square of 1125 is 1,265,625.
In this method, the formula, \(a^2\), is used to find the square of the number. Where \(a\) is the number.
Step 1: Understanding the equation Square of a number = \(a^2\) \(a^2 = a × a\)
Step 2: Identifying the number and substituting the value in the equation.
Here, ‘a’ is 1125.
So: \(1125^2 = 1125 × 1125 = 1,265,625\)
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 1125.
Step 1: Enter the number in the calculator Enter 1125 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1125 × 1125
Step 3: Press the equal to button to find the answer
Here, the square of 1125 is 1,265,625.
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 1,265,625 cm².
The area of a square = \(a^2\) So, the area of a square = 1,265,625 cm² So, the length = \(\sqrt{1,265,625} = 1125\). The length of each side = 1125 cm
The length of a square is 1125 cm.
Because the area is 1,265,625 cm², the length is \(\sqrt{1,265,625} = 1125\).
Sarah is planning to carpet her square room of length 1125 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 = 1125 feet The cost to carpet 1 square foot of the room = 5 dollars. To find the total cost to carpet, we find the area of the room, Area of the room = area of the square = \(a^2\) Here \(a = 1125\) Therefore, the area of the room = \(1125^2 = 1125 × 1125 = 1,265,625\). The cost to carpet the room = 1,265,625 × 5 = 6,328,125. The total cost = 6,328,125 dollars
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 6,328,125 dollars.
Find the area of a circle whose radius is 1125 meters.
The area of the circle = 3,976,875 m²
The area of a circle = \(\pi r^2\)
Here, \(r = 1125\)
Therefore, the area of the circle = \(\pi × 1125^2\) = 3.14 × 1125 × 1125 = 3,976,875 m².
The area of the square is 1,265,625 cm². Find the perimeter of the square.
The perimeter of the square is 4500 cm.
The area of the square = \(a^2\)
Here, the area is 1,265,625 cm²
The length of the side is \(\sqrt{1,265,625} = 1125\)
Perimeter of the square = 4a
Here, \(a = 1125\)
Therefore, the perimeter = 4 × 1125 = 4500 cm.
Find the square of 1130.
The square of 1130 is 1,276,900.
The square of 1130 is found by multiplying 1130 by 1130.
So, the square = 1130 × 1130 = 1,276,900.
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.