127 LearnersLast updated on May 27th, 2025
Square of 1089
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 the topic, we will discuss the square of 1089.
What is the Square of 1089
The square of a number is the product of the number itself.
The square of 1089 is 1089 × 1089.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 1089², where 1089 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 1089 is 1089 × 1089 = 1,186,041.
Square of 1089 in exponential form: 1089²
Square of 1089 in arithmetic form: 1089 × 1089
How to Calculate the Value of Square of 1089
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 (a2)
- 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 1089.
Step 1: Identify the number. Here, the number is 1089.
Step 2: Multiplying the number by itself, we get, 1089 × 1089 = 1,186,041.
The square of 1089 is 1,186,041.
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 1089 So: 1089² = 1089 × 1089 = 1,186,041
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 1089.
Step 1: Enter the number in the calculator Enter 1089 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1089 × 1089
Step 3: Press the equal to button to find the answer Here, the square of 1089 is 1,186,041.
Tips and Tricks for the Square of 1089
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 1089
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 will be using the formula.
The formula to find the square of the number is a². Instead, students may use 1089² with (1+0+8+9)² or (1000+89)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with 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 error.
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 1089
Problem 1
A square garden has an area of 1,186,041 square meters. Find the length of one side of the garden.
The area of a square = a²
So, the area of a square = 1,186,041 square meters
So, the length = √1,186,041 = 1089.
The length of each side = 1089 meters
Explanation
The length of the garden is 1089 meters. Because the area is 1,186,041 square meters, the length is √1,186,041 = 1089.
Problem 2
Sarah is laying tiles on her square patio, which is 1089 feet on each side. If each tile costs 5 dollars, how much will it cost to tile the entire patio?
The length of the patio = 1089 feet
The cost to lay 1 square foot of tile = 5 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 = 1089
Therefore, the area of the patio = 1089² = 1089 × 1089 = 1,186,041.
The cost to tile the patio = 1,186,041 × 5 = 5,930,205.
The total cost = 5,930,205 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 5,930,205 dollars.
Problem 3
Find the area of a circle whose radius is 1089 meters.
The area of the circle = 3,726,603.86 m²
Explanation
The area of a circle = πr²
Here, r = 1089
Therefore, the area of the circle = π × 1089² = 3.14 × 1089 × 1089 = 3,726,603.86 m².
Problem 4
The area of a square is 1,186,041 cm². Find the perimeter of the square.
The perimeter of the square is 4356 cm.
Explanation
The area of the square = a²
Here, the area is 1,186,041 cm²
The length of the side is √1,186,041 = 1089
Perimeter of the square = 4a
Here, a = 1089
Therefore, the perimeter = 4 × 1089 = 4356.
Problem 5
Find the square of 1090.
The square of 1090 is 1,188,100.
Explanation
The square of 1090 is multiplying 1090 by 1090.
So, the square = 1090 × 1090 = 1,188,100.
FAQs on Square of 1089
1.What is the square of 1089?
2.What is the square root of 1089?
3.Is 1089 a perfect square?
4.What are the first few multiples of 1089?
5.What is the square of 1088?
6.How does learning Algebra help students in United Kingdom make better decisions in daily life?
7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Square of 1089?
8.How do technology and digital tools in United Kingdom support learning Algebra and Square of 1089?
9.Does learning Algebra support future career opportunities for students in United Kingdom?
Important Glossaries for Square of 1089
- Perfect Square: A number that is the square of an integer. For example, 1089 is a perfect square because 33 × 33 = 1089.
- Exponential Form: A way to express a number using a base and an exponent. For instance, 1089² represents the square of 1089.
- Square: The result of multiplying a number by itself. For instance, the square of 3 is 9.
- Square Root: The number that, when multiplied by itself, gives the original number. For example, the square root of 1089 is 33.
- Multiplication Method: A method of finding the square by multiplying the number by itself. For example, 1089 × 1089 gives the square of 1089.
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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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