128 LearnersLast updated on May 30th, 2025
Square of 1097
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 1097.
What is the Square of 1097
The square of a number is the product of the number with itself.
The square of 1097 is 1097 × 1097.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as \(1097^2\), where 1097 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 1097 is 1097 × 1097 = 1,203,409.
Square of 1097 in exponential form: \(1097^2\)
Square of 1097 in arithmetic form: 1097 × 1097
How to Calculate the Value of Square of 1097
The square of a number is found by 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
- 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 1097.
Step 1: Identify the number. Here, the number is 1097.
Step 2: Multiplying the number by itself, we get, 1097 × 1097 = 1,203,409.
The square of 1097 is 1,203,409.
Using a Formula (a²)
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 1097.
So: \(1097^2 = 1097 × 1097 = 1,203,409\).
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 1097.
Step 1: Enter the number in the calculator. Enter 1097 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 1097 × 1097.
Step 3: Press the equal to button to find the answer. Here, the square of 1097 is 1,203,409.
Tips and Tricks for the Square of 1097
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 1097
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 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 when using the formula.
The formula to find the square of the number is \(a^2\). Instead, students may use \(1097^2\) with \((10 + 97)^2\) or \((1000 + 97)^2\). So students should check and use the correct formula and double-check the answers to avoid all the 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 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 errors.
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 1097
Problem 1
Find the length of the square, where the area of the square is 1,203,409 cm².
The area of a square = \(a^2\) So, the area of a square = 1,203,409 cm² So, the length = \(\sqrt{1,203,409} = 1097\). The length of each side = 1097 cm
Explanation
The length of a square is 1097 cm.
Because the area is 1,203,409 cm², the length is \(\sqrt{1,203,409} = 1097\).
Problem 2
Sara is planning to paint her square garden wall of length 1097 feet. The cost to paint a foot is 2 dollars. Then how much will it cost to paint the full wall?
The length of the wall = 1097 feet The cost to paint 1 square foot of wall = 2 dollars. To find the total cost to paint, we find the area of the wall, Area of the wall = area of the square = \(a^2\) Here \(a = 1097\) Therefore, the area of the wall = \(1097^2 = 1097 × 1097 = 1,203,409\). The cost to paint the wall = 1,203,409 × 2 = 2,406,818. The total cost = 2,406,818 dollars
Explanation
To find the cost to paint the wall, we multiply the area of the wall by cost to paint per foot.
So, the total cost is 2,406,818 dollars.
Problem 3
Find the area of a circle whose radius is 1097 meters.
The area of the circle = 3,784,520.66 m²
Explanation
The area of a circle = \(\pi r^2\)
Here, \(r = 1097\)
Therefore, the area of the circle = \(\pi × 1097^2\) = 3.14 × 1097 × 1097 = 3,784,520.66 m².
Problem 4
The area of the square is 1,203,409 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = \(a^2\)
Here, the area is 1,203,409 cm²
The length of the side is \(\sqrt{1,203,409} = 1097\)
Perimeter of the square = 4a
Here, \(a = 1097\)
Therefore, the perimeter = 4 × 1097 = 4388.
Problem 5
Find the square of 1098.
The square of 1098 is 1,205,604
Explanation
The square of 1098 is multiplying 1098 by 1098.
So, the square = 1098 × 1098 = 1,205,604
FAQs on Square of 1097
1.What is the square of 1097?
2.What is the square root of 1097?
3.Is 1097 a prime number?
4.What are the first few multiples of 1097?
5.What is the square of 1096?
6.How does learning Algebra help students in Indonesia make better decisions in daily life?
7.How can cultural or local activities in Indonesia support learning Algebra topics such as Square of 1097?
8.How do technology and digital tools in Indonesia support learning Algebra and Square of 1097?
9.Does learning Algebra support future career opportunities for students in Indonesia?
Important Glossaries for Square 1097.
- Prime number: A number that is only divisible by 1 and itself is a prime number. For example, 2, 3, 5, 7, 1097, etc.
- Exponential form: Exponential form is a way of writing a number in the form of a power. For example, \(92\) where 9 is the base and 2 is the power.
- Square root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
- Perfect square: A number that is the square of an integer. For example, 4, 9, 16, 25, etc.
- Perimeter: The perimeter is the total length of the sides or edges of a figure or object.
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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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