101 LearnersLast updated on May 26th, 2025
Square of 1178
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 1178.
What is the Square of 1178
The square of a number is the product of the number itself. The square of 1178 is 1178 × 1178. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1178², where 1178 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 1178 is 1178 × 1178 = 1,388,484.
Square of 1178 in exponential form: 1178²
Square of 1178 in arithmetic form: 1178 × 1178
How to Calculate the Value of Square of 1178
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 1178.
Step 1: Identify the number. Here, the number is 1178.
Step 2: Multiplying the number by itself, we get, 1178 × 1178 = 1,388,484.
The square of 1178 is 1,388,484.
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 1178. So: 1178² = 1178 × 1178 = 1,388,484
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 1178.
Step 1: Enter the number in the calculator Enter 1178 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1178 × 1178
Step 3: Press the equal to button to find the answer Here, the square of 1178 is 1,388,484.
Tips and Tricks for the Square of 1178
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 1178
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 swap 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.
Solved Examples on Square of 1178
Problem 1
Find the length of the square, where the area of the square is 1,388,484 cm².
The area of a square = a²
So, the area of a square = 1,388,484 cm²
So, the length = √1,388,484 = 1178.
The length of each side = 1178 cm
Explanation
The length of a square is 1178 cm.
Because the area is 1,388,484 cm², the length is √1,388,484 = 1178.
Problem 2
Sarah is designing a square garden with each side measuring 1178 feet. The cost to plant grass per square foot is 5 dollars. How much will it cost to cover the entire garden?
The length of the garden = 1178 feet
The cost to plant grass per square foot = 5 dollars.
To find the total cost, we find the area of the garden,
Area of the garden = area of the square = a²
Here a = 1178
Therefore, the area of the garden = 1178² = 1,388,484.
The cost to plant grass = 1,388,484 × 5 = 6,942,420.
The total cost = 6,942,420 dollars
Explanation
To find the cost to plant grass, we multiply the area of the garden by the cost to plant per square foot. So, the total cost is 6,942,420 dollars.
Problem 3
Find the area of a circle whose radius is 1178 meters.
The area of the circle = 4,355,308.32 m²
Explanation
The area of a circle = πr²
Here, r = 1178
Therefore, the area of the circle = π × 1178² = 3.14 × 1178 × 1178 = 4,355,308.32 m².
Problem 4
The area of a square is 1,388,484 cm². Find the perimeter of the square.
The perimeter of the square is 4,712 cm.
Explanation
The area of the square = a²
Here, the area is 1,388,484 cm²
The length of the side is √1,388,484 = 1178
Perimeter of the square = 4a
Here, a = 1178
Therefore, the perimeter = 4 × 1178 = 4,712 cm.
Problem 5
Find the square of 1200.
The square of 1200 is 1,440,000.
Explanation
The square of 1200 is multiplying 1200 by 1200.
So, the square = 1200 × 1200 = 1,440,000.
FAQs on Square of 1178
1.What is the square of 1178?
2.What is the square root of 1178?
3.Is 1178 a prime number?
4.What are the first few multiples of 1178?
5.What is the square of 1200?
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 1178?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 1178?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square 1178.
- Perfect Square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Exponential Form: A way of writing numbers using a base and an exponent. For example, 1178².
- Square Root: The number that, when multiplied by itself, gives the original number. For example, the square root of 144 is 12.
- Even Number: A number that is divisible by 2. For example, 1178 is an even number.
- Multiplication Method: A method to determine the square of a number by multiplying the number by itself.
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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.
