103 LearnersLast updated on May 26th, 2025
Square of 1180
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and more. In this topic, we will discuss the square of 1180.
What is the Square of 1180
The square of a number is the product of the number with itself. The square of 1180 is 1180 × 1180. The square of a number can end in any digit, but the last digit is often 0, 1, 4, 5, 6, or 9. We write it in math as 1180², where 1180 is the base and 2 is the exponent. The square of a positive or negative number is always positive. For example, 5² = 25; -5² = 25.
The square of 1180 is 1180 × 1180 = 1,392,400.
Square of 1180 in exponential form: 1180²
Square of 1180 in arithmetic form: 1180 × 1180
How to Calculate the Value of Square of 1180
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 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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 1180.
Step 1: Identify the number. Here, the number is 1180.
Step 2: Multiply the number by itself, we get: 1180 × 1180 = 1,392,400.
The square of 1180 is 1,392,400.
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 1180 So: 1180² = 1180 × 1180 = 1,392,400
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 1180.
Step 1: Enter the number in the calculator Enter 1180 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1180 × 1180.
Step 3: Press the equal to button to find the answer Here, the square of 1180 is 1,392,400.
Tips and Tricks for the Square of 1180
Tips and tricks make it easier 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 1180
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 1180
Problem 1
A garden has a square shape with an area of 1,392,400 square meters. Find the length of one side of the garden.
The area of a square = a²
So, the area of the square = 1,392,400 m²
So, the length = √1,392,400 = 1180.
The length of each side = 1180 meters
Explanation
The length of the garden is 1180 meters because the area is 1,392,400 m², and the length is √1,392,400 = 1180.
Problem 2
A company is making square tiles with side lengths of 1180 mm. The cost to produce 1 mm² is 0.05 dollars. How much will it cost to produce one tile?
The length of the tile = 1180 mm
The cost to produce 1 mm² = 0.05 dollars.
To find the total cost to produce the tile, we find the area of the tile,
Area of the tile = a²
Here a = 1180
Therefore, the area of the tile = 1180² = 1,392,400 mm².
The cost to produce the tile = 1,392,400 × 0.05 = 69,620.
The total cost = 69,620 dollars
Explanation
To find the cost to produce the tile, we multiply the area of the tile by the cost to produce per mm². So, the total cost is 69,620 dollars.
Problem 3
Find the area of a circle whose radius is 1180 meters.
The area of the circle = 4,371,808 m²
Explanation
The area of a circle = πr²
Here, r = 1180
Therefore, the area of the circle = π × 1180² = 3.14 × 1180 × 1180 ≈ 4,371,808 m².
Problem 4
The area of a square is 1,392,400 cm². Find the perimeter of the square.
The perimeter of the square is 4,720 cm.
Explanation
The area of the square = a²
Here, the area is 1,392,400 cm²
The length of the side is √1,392,400 = 1180
Perimeter of the square = 4a
Here, a = 1180
Therefore, the perimeter = 4 × 1180 = 4,720 cm.
Problem 5
Find the square of 1181.
The square of 1181 is 1,394,761.
Explanation
The square of 1181 is multiplying 1181 by 1181.
So, the square = 1181 × 1181 = 1,394,761.
FAQs on Square of 1180
1.What is the square of 1180?
2.What is the square root of 1180?
3.Is 1180 a prime number?
4.What are the first few multiples of 1180?
5.What is the square of 1179?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of 1180?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 1180?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square of 1180
- Perfect Square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Exponent: A number that represents how many times the base is used as a factor. For example, in 2³, 3 is the exponent.
- Multiplication: The process of calculating the total of one number added repeatedly.
- Prime Number: A number greater than 1 that has no positive divisors other than 1 and itself.
- Square Root: A number that produces a specified quantity when multiplied by itself. For example, the square root of 9 is
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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.
