109 LearnersLast updated on May 26th, 2025
Square of 1053
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 1053.
What is the Square of 1053
The square of a number is the product of the number itself. The square of 1053 is 1053 × 1053. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1053², where 1053 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 1053 is 1053 × 1053 = 1,108,209. Square of 1053 in exponential form: 1053² Square of 1053 in arithmetic form: 1053 × 1053
How to Calculate the Value of Square of 1053
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 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 1053 Step 1: Identify the number. Here, the number is 1053 Step 2: Multiplying the number by itself, we get, 1053 × 1053 = 1,108,209. The square of 1053 is 1,108,209.
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 1053 So: 1053² = 1053 × 1053 = 1,108,209
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 1053. Step 1: Enter the number in the calculator Enter 1053 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×) That is 1053 × 1053 Step 3: Press the equal to button to find the answer Here, the square of 1053 is 1,108,209. Tips and Tricks for the Square of 1053 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 1053
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 1053² with (10 + 53)² or (1000 + 53)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 1053
Problem 1
Find the length of the square, where the area of the square is 1,108,209 cm².
The area of a square = a² So, the area of a square = 1,108,209 cm² So, the length = √1,108,209 = 1053. The length of each side = 1053 cm
Explanation
The length of a square is 1053 cm. Because the area is 1,108,209 cm² the length is √1,108,209 = 1053.
Problem 2
Samantha wants to carpet her square room of length 1053 feet. The cost to carpet a foot is 5 dollars. Then how much will it cost to carpet the full room?
The length of the room = 1053 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 = a² Here a = 1053 Therefore, the area of the room = 1053² = 1053 × 1053 = 1,108,209. The cost to carpet the room = 1,108,209 × 5 = 5,541,045. The total cost = 5,541,045 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 5,541,045 dollars.
Problem 3
Find the area of a circle whose radius is 1053 meters.
The area of the circle = 3,484,470.06 m²
Explanation
The area of a circle = πr² Here, r = 1053 Therefore, the area of the circle = π × 1053² = 3.14 × 1053 × 1053 = 3,484,470.06 m².
Problem 4
The area of the square is 1,108,209 cm². Find the perimeter of the square.
The perimeter of the square is 4,212 cm
Explanation
The area of the square = a² Here, the area is 1,108,209 cm² The length of the side is √1,108,209 = 1053 Perimeter of the square = 4a Here, a = 1053 Therefore, the perimeter = 4 × 1053 = 4,212 cm.
Problem 5
Find the square of 1054.
The square of 1054 is 1,110,916
Explanation
The square of 1054 is multiplying 1054 by 1054. So, the square = 1054 × 1054 = 1,110,916
FAQs on Square of 1053
1.What is the square of 1053?
2.What is the square root of 1053?
3.Is 1053 a prime number?
4.What are the first few multiples of 1053?
5.What is the square of 1052?
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 1053?
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Important Glossaries for Square of 1053.
Perfect Square: A number that is the square of an integer. For example, 1, 4, 9, 16, 25, etc. Exponent: The exponent of a number shows how many times the number is multiplied by itself. For example, in 5², 2 is the exponent. Prime Number: A number greater than 1 that has no divisors other than 1 and itself. For example, 2, 3, 5, 7, and 11. Whole Number: A non-negative integer, including zero. For example, 0, 1, 2, 3, etc. Area: The measure of the space inside a two-dimensional shape, such as a square or circle, typically measured in square units.
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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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