105 LearnersLast updated on May 26th, 2025
Square of 1175
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and so on. In this topic, we will discuss the square of 1175.
What is the Square of 1175
The square of a number is the product of the number by itself. The square of 1175 is 1175 × 1175. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1175², where 1175 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 1175 is 1175 × 1175 = 1,380,625.
Square of 1175 in exponential form: 1175²
Square of 1175 in arithmetic form: 1175 × 1175
How to Calculate the Value of Square of 1175
The square of a number is found by multiplying the number by itself. Let’s learn how to find the square of a number. These are 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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 1175.
Step 1: Identify the number. Here, the number is 1175.
Step 2: Multiply the number by itself, we get, 1175 × 1175 = 1,380,625.
The square of 1175 is 1,380,625.
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: Identify the number and substitute the value in the equation.
Here, ‘a’ is 1175. So: 1175² = 1175 × 1175 = 1,380,625
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 1175.
Step 1: Enter the number in the calculator Enter 1175 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1175 × 1175
Step 3: Press the equals button to find the answer Here, the square of 1175 is 1,380,625.
Tips and Tricks for the Square of 1175
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 1175
Mistakes are common among kids 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 mostly happen when students skip steps or swap digits. To avoid this, students should double-check their answers. 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.
Solved Examples on Square of 1175
Problem 1
Find the length of the square, where the area of the square is 1,380,625 cm².
The area of a square = a²
So, the area of a square = 1,380,625 cm²
So, the length = √1,380,625 = 1175.
The length of each side = 1175 cm
Explanation
The length of a square is 1175 cm.
Because the area is 1,380,625 cm², the length is √1,380,625 = 1175.
Problem 2
Lisa is building a square garden with a length of 1175 feet. The cost to plant flowers per square foot is 4 dollars. How much will it cost to plant flowers in the entire garden?
The length of the garden = 1175 feet
The cost to plant flowers in 1 square foot = 4 dollars.
To find the total cost to plant flowers, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 1175
Therefore, the area of the garden = 1175² = 1175 × 1175 = 1,380,625.
The cost to plant flowers in the garden = 1,380,625 × 4 = 5,522,500.
The total cost = 5,522,500 dollars
Explanation
To find the cost to plant flowers, multiply the area of the garden by the cost per square foot. So, the total cost is 5,522,500 dollars.
Problem 3
Find the area of a circle whose radius is 1175 meters.
The area of the circle = 4,337,833.75 m²
Explanation
The area of a circle = πr²
Here, r = 1175
Therefore, the area of the circle = π × 1175² = 3.14 × 1175 × 1175 = 4,337,833.75 m².
Problem 4
The area of the square is 1,396,625 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 1,396,625 cm²
The length of the side is √1,396,625 = 1175
Perimeter of the square = 4a
Here, a = 1175
Therefore, the perimeter = 4 × 1175 = 4,700.
Problem 5
Find the square of 1176.
The square of 1176 is 1,383,376
Explanation
The square of 1176 is found by multiplying 1176 by itself.
So, the square = 1176 × 1176 = 1,383,376
FAQs on Square of 1175
1.What is the square of 1175?
2.What is the square root of 1175?
3.Is 1175 a prime number?
4.What are the first few multiples of 1175?
5.What is the square of 1174?
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 1175?
8.How do technology and digital tools in United States support learning Algebra and Square of 1175?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 1175.
- Prime number: A number that is only divisible by 1 and itself.
- Exponential form: A way of writing a number using a base and an exponent, e.g., a².
- Square root: The inverse operation of squaring a number.
- Multiplication method: A method to find the square by multiplying the number by itself.
- Perfect square: A number that is the square of an integer.
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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
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