111 LearnersLast updated on May 26th, 2025
Square of 1033
The product of multiplying an integer by itself is the square of a number. The concept of squaring is used in programming, calculating areas, and various mathematical applications. In this topic, we will discuss the square of 1033.
What is the Square of 1033
The square of a number is the result of multiplying the number by itself. The square of 1033 is 1033 × 1033. Interestingly, the square of a number often ends in 0, 1, 4, 5, 6, or 9. Mathematically, it is written as 1033², where 1033 is the base and 2 is the exponent. The square of a positive number or a negative number is always positive. For example, 5² = 25; (-5)² = 25. The square of 1033 is 1033 × 1033 = 1067089. Square of 1033 in exponential form: 1033² Square of 1033 in arithmetic form: 1033 × 1033
How to Calculate the Value of Square of 1033
The square of a number is simply multiplying the number by itself. Here 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 1033. Step 1: Identify the number. Here, the number is 1033. Step 2: Multiplying the number by itself, we get, 1033 × 1033 = 1067089. The square of 1033 is 1067089.
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 1033. So: 1033² = 1033 × 1033 = 1067089
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 1033. Step 1: Enter the number in the calculator Enter 1033 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×) That is 1033 × 1033 Step 3: Press the equal button to find the answer Here, the square of 1033 is 1067089. Tips and Tricks for the Square of 1033 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 1033
Mistakes are common among students 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 often happen when students skip steps or swap digits. To avoid this, students should double-check their answers. They can verify 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 correct formula to find the square of a number is a². Students may incorrectly use (10 + 33)² or (1000 + 33)². 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. Students should understand that squaring and taking the 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. Students should understand the importance of 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. Therefore, students should practice regularly to avoid errors.
Solved Examples on Square of 1033
Problem 1
Find the length of a square where the area of the square is 1067089 cm².
The area of a square = a² So, the area of a square = 1067089 cm² Therefore, the length = √1067089 = 1033. The length of each side = 1033 cm
Explanation
The length of a square is 1033 cm. Because the area is 1067089 cm², the length is √1067089 = 1033.
Problem 2
Alex is planning to paint his square wall of length 1033 feet. The cost to paint a square foot is 3 dollars. How much will it cost to paint the full wall?
The length of the wall = 1033 feet The cost to paint 1 square foot of the wall = 3 dollars. To find the total cost to paint, we find the area of the wall, Area of the wall = area of the square = a² Here a = 1033 Therefore, the area of the wall = 1033² = 1033 × 1033 = 1067089. The cost to paint the wall = 1067089 × 3 = 3201267. The total cost = 3201267 dollars
Explanation
To find the cost to paint the wall, we multiply the area of the wall by the cost to paint per foot. So, the total cost is 3201267 dollars.
Problem 3
Find the area of a circle whose radius is 1033 meters.
The area of the circle = 3,349,879.42 m²
Explanation
The area of a circle = πr² Here, r = 1033 Therefore, the area of the circle = π × 1033² = 3.14 × 1033 × 1033 = 3,349,879.42 m².
Problem 4
The area of a square is 1071229 cm². Find the perimeter of the square.
The perimeter of the square is 4164 cm.
Explanation
The area of the square = a² Here, the area is 1071229 cm² The length of the side is √1071229 = 1035 Perimeter of the square = 4a Here, a = 1035 Therefore, the perimeter = 4 × 1035 = 4140.
Problem 5
Find the square of 1034.
The square of 1034 is 1,069,156.
Explanation
The square of 1034 is multiplying 1034 by 1034. So, the square = 1034 × 1034 = 1069156
FAQs on Square of 1033
1.What is the square of 1033?
2.What is the square root of 1033?
3.Is 1033 a prime number?
4.What are the first few multiples of 1033?
5.What is the square of 1032?
6.How does learning Algebra help students in India make better decisions in daily life?
7.How can cultural or local activities in India support learning Algebra topics such as Square of 1033?
8.How do technology and digital tools in India support learning Algebra and Square of 1033?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square 1033.
Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, … Exponential form: A way of writing numbers using powers. For example, 9² where 9 is the base and 2 is the power. Square root: The inverse operation of squaring a number. The square root of a number is a number whose square is the original number. Perfect square: A number that has an integer as its square root. For example, 16 is a perfect square because √16 = 4. Arithmetic operation: Basic operations in mathematics such as addition, subtraction, multiplication, and division used for calculations.
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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.
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