129 LearnersLast updated on May 30th, 2025
Square of 1125
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.
What is 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
How to Calculate the Value of Square of 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.
- 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 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.
Using a Formula (\(a^2\))
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: \(1125^2 = 1125 × 1125 = 1,265,625\)
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 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 for the Square of 1125
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, \(6^2 = 36\).
- The square of an odd number is always an odd number. For example, \(5^2 = 25\).
- 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, \(\sqrt{1.44} = 1.2\).
- The square root of a perfect square is always a whole number. For example, \(\sqrt{144} = 12\).
Common Mistakes to Avoid When Calculating the Square of 1125
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 this, 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 while using the formula.
The formula to find the square of the number is \(a^2\). Instead, students may use \(1125^2\) with \((1+1+2+5)^2\) or \((1000+125)^2\). So students should ensure they use the correct formula and double-check their answers to avoid 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 this, students should understand 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 perform 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 practice regularly to avoid errors.
Solved Examples on Square of 1125
Problem 1
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
Explanation
The length of a square is 1125 cm.
Because the area is 1,265,625 cm², the length is \(\sqrt{1,265,625} = 1125\).
Problem 2
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
Explanation
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.
Problem 3
Find the area of a circle whose radius is 1125 meters.
The area of the circle = 3,976,875 m²
Explanation
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.
Problem 4
The area of the square is 1,265,625 cm². Find the perimeter of the square.
The perimeter of the square is 4500 cm.
Explanation
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.
Problem 5
Find the square of 1130.
The square of 1130 is 1,276,900.
Explanation
The square of 1130 is found by multiplying 1130 by 1130.
So, the square = 1130 × 1130 = 1,276,900.
FAQs on Square of 1125
1.What is the square of 1125?
2.What is the square root of 1125?
3.Is 1125 a perfect square?
4.What are the first few multiples of 1125?
5.What is the square of 1124?
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 1125?
8.How do technology and digital tools in United States support learning Algebra and Square of 1125?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 1125.
- Perfect Square: A number that is the square of an integer. For example, 16 is a perfect square because it is \(4^2\).
- Square: The result of multiplying a number by itself. For example, the square of 5 is 25.
- Exponential Form: A way of expressing repeated multiplication of the same factor. For example, \(1125^2\).
- Square Root: A number which produces a specified quantity when multiplied by itself. For example, \(\sqrt{25} = 5\).
- Multiple: The product of a number and an integer. For example, 2250 is a multiple of 1125.
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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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