128 LearnersLast updated on May 30th, 2025
Square of 1135
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 this topic, we will discuss the square of 1135.
What is the Square of 1135
The square of a number is the product of the number itself.
The square of 1135 is 1135 × 1135.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 1135², where 1135 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 1135 is 1135 × 1135 = 1,288,225.
Square of 1135 in exponential form: 1135²
Square of 1135 in arithmetic form: 1135 × 1135
How to Calculate the Value of Square of 1135
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 1135.
Step 1: Identify the number. Here, the number is 1135.
Step 2: Multiplying the number by itself, we get, 1135 × 1135 = 1,288,225.
The square of 1135 is 1,288,225.
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 1135.
So: 1135² = 1135 × 1135 = 1,288,225
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 1135.
Step 1: Enter the number in the calculator Enter 1135 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1135 × 1135
Step 3: Press the equal to button to find the answer
Here, the square of 1135 is 1,288,225.
Tips and Tricks for the Square of 1135
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 1135
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 1135² with (1+1+3+5)² or (1100+35)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 1135
Problem 1
Find the length of the square, where the area of the square is 1,288,225 cm².
The area of a square = a² So, the area of a square = 1,288,225 cm² So, the length = √1,288,225 = 1135. The length of each side = 1135 cm
Explanation
The length of a square is 1135 cm.
Because the area is 1,288,225 cm², the length is √1,288,225 = 1135.
Problem 2
Sarah wants to carpet her square room with a side length of 1135 meters. The cost to carpet a meter is 10 dollars. How much will it cost to carpet the whole room?
The length of the room = 1135 meters The cost to carpet 1 square meter of the room = 10 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 = 1135 Therefore, the area of the room = 1135² = 1135 × 1135 = 1,288,225. The cost to carpet the room = 1,288,225 × 10 = 12,882,250. The total cost = 12,882,250 dollars
Explanation
To find the cost to carpet the room, we multiply the area of the room by cost to carpet per meter.
So, the total cost is 12,882,250 dollars.
Problem 3
Find the area of a circle whose radius is 1135 meters.
The area of the circle = 4,047,692.65 m²
Explanation
The area of a circle = πr²
Here, r = 1135
Therefore, the area of the circle = π × 1135² = 3.14 × 1135 × 1135 = 4,047,692.65 m².
Problem 4
The area of the square is 1,288,225 cm². Find the perimeter of the square.
The perimeter of the square is 4540 cm.
Explanation
The area of the square = a²
Here, the area is 1,288,225 cm²
The length of the side is √1,288,225 = 1135
Perimeter of the square = 4a
Here, a = 1135
Therefore, the perimeter = 4 × 1135 = 4540.
Problem 5
Find the square of 38.
The square of 38 is 1444.
Explanation
The square of 38 is multiplying 38 by 38.
So, the square = 38 × 38 = 1444.
FAQs on Square of 1135
1.What is the square of 1135?
2.What is the square root of 1135?
3.Is 1135 a prime number?
4.What are the first few multiples of 1135?
5.What is the square of 36?
6.How does learning Algebra help students in Philippines make better decisions in daily life?
7.How can cultural or local activities in Philippines support learning Algebra topics such as Square of 1135?
8.How do technology and digital tools in Philippines support learning Algebra and Square of 1135?
9.Does learning Algebra support future career opportunities for students in Philippines?
Important Glossaries for Square 1135.
- Perfect Square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Exponent: The power to which a number or expression is to be raised, denoted by a superscript. For example, in 5², 2 is the exponent.
- Prime Number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, etc.
- Circle Area: A measure of the space inside a circle, calculated as πr², where r is the radius.
- Perimeter: The total distance around the edge of a polygon, such as a square, calculated as 4 times the side length for a square.
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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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