124 LearnersLast updated on May 30th, 2025
Square of 1105
The product of multiplying an integer by itself is the square of a number. Square is used in programming, calculating areas, and more. In this topic, we will discuss the square of 1105.
What is the Square of 1105
The square of a number is the product of the number with itself.
The square of 1105 is 1105 × 1105.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We denote it mathematically as 1105², where 1105 is the base and 2 is the exponent.
The square of a positive and a negative number is always positive.
For example, 5² = 25; (-5)² = 25.
The square of 1105 is 1105 × 1105 = 1,221,025.
Square of 1105 in exponential form: 1105²
Square of 1105 in arithmetic form: 1105 × 1105
How to Calculate the Value of Square of 1105
The square of a number is determined by multiplying the number by itself. Let’s learn how to find the square of a number. These are 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 1105.
Step 1: Identify the number. Here, the number is 1105.
Step 2: Multiplying the number by itself, we get, 1105 × 1105 = 1,221,025.
The square of 1105 is 1,221,025.
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: Identify the number and substitute the value in the equation.
Here, ‘a’ is 1105.
So: 1105² = 1105 × 1105 = 1,221,025
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 1105.
Step 1: Enter the number in the calculator Enter 1105 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1105 × 1105
Step 3: Press the equal to button to find the answer Here, the square of 1105 is 1,221,025.
Tips and Tricks for the Square of 1105
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 1105
Mistakes are common among kids when doing math, especially when 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 steps or swap digits. To avoid this, students should double-check their answers. 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 using the formula.
The formula to find the square of a number is a². Instead, students may mistakenly use (1 +1+0+5)² or (1100 + 5)². So students should check and 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 among 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 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 1105
Problem 1
Find the length of the square, where the area of the square is 1,221,025 cm².
The area of a square = a² So, the area of a square = 1,221,025 cm² So, the length = √1,221,025 = 1105. The length of each side = 1105 cm
Explanation
The length of a square is 1105 cm.
Because the area is 1,221,025 cm², the length is √1,221,025 = 1105.
Problem 2
Sarah is planning to carpet her square room of length 1105 feet. The cost to carpet a foot is 2 dollars. How much will it cost to carpet the full room?
The length of the room = 1105 feet The cost to carpet 1 square foot of the room = 2 dollars. To find the total cost to carpet, we find the area of the room, Area of the room = area of the square = a² Here a = 1105 Therefore, the area of the room = 1105² = 1105 × 1105 = 1,221,025. The cost to carpet the room = 1,221,025 × 2 = 2,442,050. The total cost = 2,442,050 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 2,442,050 dollars.
Problem 3
Find the area of a circle whose radius is 1105 meters.
The area of the circle = 3,835,998.5 m²
Explanation
The area of a circle = πr²
Here, r = 1105
Therefore, the area of the circle = π × 1105² = 3.14 × 1105 × 1105 = 3,835,998.5 m².
Problem 4
The area of the square is 1,221,025 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 1,221,025 cm²
The length of the side is √1,221,025 = 1105
Perimeter of the square = 4a
Here, a = 1105
Therefore, the perimeter = 4 × 1105 = 4420.
Problem 5
Find the square of 1106.
The square of 1106 is 1,223,236
Explanation
The square of 1106 is multiplying 1106 by 1106.
So, the square = 1106 × 1106 = 1,223,236
FAQs on Square of 1105
1.What is the square of 1105?
2.What is the square root of 1105?
3.Is 1105 a prime number?
4.What are the first few multiples of 1105?
5.What is the square of 1106?
6.How does learning Algebra help students in United Arab Emirates make better decisions in daily life?
7.How can cultural or local activities in United Arab Emirates support learning Algebra topics such as Square of 1105?
8.How do technology and digital tools in United Arab Emirates support learning Algebra and Square of 1105?
9.Does learning Algebra support future career opportunities for students in United Arab Emirates?
Important Glossaries for Square of 1105.
- Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, 25...
- Exponential form: Writing a number using a base and an exponent, e.g., 1105².
- Multiplication method: Calculating the square by multiplying the number by itself.
- Perimeter: The total length around a two-dimensional shape.
- Area of a circle: Calculated as πr², where r is the radius of the circle.
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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
: He loves to play the quiz with kids through algebra to make kids love it.
