121 LearnersLast updated on May 26th, 2025
Square of 1153
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 1153.
What is the Square of 1153
The square of a number is the product of the number with itself. The square of 1153 is 1153 × 1153. The square of a number usually ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1153², where 1153 is the base and 2 is the exponent. The square of a positive and a negative number is always positive. For example, 5² = 25; -5² = 25.
The square of 1153 is 1153 × 1153 = 1,329,409.
Square of 1153 in exponential form: 1153²
Square of 1153 in arithmetic form: 1153 × 1153
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How to Calculate the Value of Square of 1153
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 1153
Step 1: Identify the number. Here, the number is 1153
Step 2: Multiplying the number by itself, we get, 1153 × 1153 = 1,329,409.
The square of 1153 is 1,329,409.
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 1153 So: 1153² = 1153 × 1153 = 1,329,409
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 1153.
Step 1: Enter the number in the calculator Enter 1153 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1153 × 1153
Step 3: Press the equal to button to find the answer Here, the square of 1153 is 1,329,409.
Tips and Tricks for the Square of 1153
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 1153
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 1153² with (1+1+5+3)² or (1000+100+50+3)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.
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Solved Examples on Square of 1153
Problem 1
Find the length of the square, where the area of the square is 1,329,409 cm².
The area of a square = a²
So, the area of a square = 1,329,409 cm²
So, the length = √1,329,409 = 1153.
The length of each side = 1153 cm
Explanation
The length of a square is 1153 cm. Because the area is 1,329,409 cm², the length is √1,329,409 = 1153.
Problem 2
A farmer is fencing a square plot of land with each side of length 1153 meters. If the cost to fence a meter is 10 dollars, how much will it cost to fence the full plot?
The length of each side of the plot = 1153 meters
The cost to fence 1 meter = 10 dollars.
To find the total cost to fence, we find the perimeter of the plot,
Perimeter of the plot = 4 × side length = 4 × 1153 = 4612 meters.
The cost to fence the plot = 4612 × 10 = 46,120.
The total cost = 46,120 dollars
Explanation
To find the cost to fence the plot, we multiply the perimeter of the plot by the cost to fence per meter. So, the total cost is 46,120 dollars.
Problem 3
Find the area of a circle whose radius is 1153 meters.
The area of the circle = 4,173,503.86 m²
Explanation
The area of a circle = πr²
Here, r = 1153
Therefore, the area of the circle = π × 1153² = 3.14 × 1153 × 1153 = 4,173,503.86 m².
Problem 4
The area of a square is 1,329,409 cm². Find the perimeter of the square.
The perimeter of the square is 4612 cm.
Explanation
The area of the square = a²
Here, the area is 1,329,409 cm²
The length of the side is √1,329,409 = 1153
Perimeter of the square = 4a
Here, a = 1153
Therefore, the perimeter = 4 × 1153 = 4612 cm.
Problem 5
Find the square of 1154.
The square of 1154 is 1,331,716
Explanation
The square of 1154 is multiplying 1154 by 1154.
So, the square = 1154 × 1154 = 1,331,716
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FAQs on Square of 1153
1.What is the square of 1153?
2.What is the square root of 1153?
3.Is 1153 a prime number?
4.What are the first few multiples of 1153?
5.What is the square of 1152?
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Important Glossaries for Square 1153.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, …
- Exponential form: 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 value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3.
- Perfect square: A number that is the square of an integer. For example, 25 is a perfect square because it is 5².
- Perimeter: The total length around a two-dimensional shape. For example, the perimeter of a square with side length a is 4a.
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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.
