101 LearnersLast updated on May 26th, 2025
Square of 1177
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 1177.
What is the Square of 1177
The square of a number is the product of the number with itself. The square of 1177 is 1177 × 1177. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1177², where 1177 is the base and 2 is the exponent. The square of a positive and a negative number is always positive. For example, 5² = 25; (-5)² = 25.
The square of 1177 is 1177 × 1177 = 1,385,329.
Square of 1177 in exponential form: 1177²
Square of 1177 in arithmetic form: 1177 × 1177
How to Calculate the Value of Square of 1177
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 1177:
Step 1: Identify the number. Here, the number is 1177.
Step 2: Multiplying the number by itself, we get: 1177 × 1177 = 1,385,329.
The square of 1177 is 1,385,329.
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 1177 So: 1177² = 1177 × 1177 = 1,385,329
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 1177.
Step 1: Enter the number into the calculator Enter 1177 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1177 × 1177
Step 3: Press the equals button to find the answer Here, the square of 1177 is 1,385,329.
Tips and Tricks for the Square of 1177
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 1177
Mistakes are common among kids when doing math, especially when it involves 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 1177
Problem 1
Find the length of the square, where the area of the square is 1,385,329 cm².
The area of a square = a²
So, the area of a square = 1,385,329 cm²
So, the length = √1,385,329 = 1177.
The length of each side = 1177 cm
Explanation
The length of a square is 1177 cm.
Because the area is 1,385,329 cm², the length is √1,385,329 = 1177.
Problem 2
Emma wants to tile her square floor with a length of 1177 feet. Each tile costs 5 dollars. How much will it cost to tile the entire floor?
The length of the floor = 1177 feet
The cost to tile 1 square foot of floor = 5 dollars.
To find the total cost to tile, we find the area of the floor,
Area of the floor = area of the square = a²
Here a = 1177
Therefore, the area of the floor = 1177² = 1,385,329.
The cost to tile the floor = 1,385,329 × 5 = 6,926,645.
The total cost = 6,926,645 dollars
Explanation
To find the cost to tile the floor, multiply the area of the floor by the cost to tile per square foot. So, the total cost is 6,926,645 dollars.
Problem 3
Find the area of a circle whose radius is 1177 meters.
The area of the circle = 4,353,382.86 m²
Explanation
The area of a circle = πr²
Here, r = 1177
Therefore, the area of the circle = π × 1177² = 3.14 × 1177 × 1177 = 4,353,382.86 m².
Problem 4
The area of the square is 1,385,329 cm². Find the perimeter of the square.
The perimeter of the square is 4,708 cm
Explanation
The area of the square = a²
Here, the area is 1,385,329 cm²
The length of the side is √1,385,329 = 1177
Perimeter of the square = 4a
Here, a = 1177
Therefore, the perimeter = 4 × 1177 = 4,708.
Problem 5
Find the square of 1178.
The square of 1178 is 1,387,684
Explanation
The square of 1178 is multiplying 1178 by 1178.
So, the square = 1178 × 1178 = 1,387,684
FAQs on Square of 1177
1.What is the square of 1177?
2.What is the square root of 1177?
3.Is 1177 a prime number?
4.What are the first few multiples of 1177?
5.What is the square of 1176?
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 1177?
8.How do technology and digital tools in United States support learning Algebra and Square of 1177?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 1177
- Square: The result of multiplying a number by itself. For example, the square of 5 is 25.
- 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 expressing a number using a base and an exponent. For example, 10³ represents 10 × 10 × 10.
- Square Root: The inverse operation of squaring. The square root of a number is a value that, when multiplied by itself, gives the original number.
- Multiplication: The arithmetic operation of scaling one number by another. For example, 3 multiplied by 4 is 12.
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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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