116 LearnersLast updated on May 26th, 2025
Square of 1184
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 1184.
What is the Square of 1184
The square of a number is the product of the number by itself. The square of 1184 is 1184 × 1184. The square of a number may end in 0, 1, 4, 5, 6, or 9. We write it in math as 1184², where 1184 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 1184 is 1184 × 1184 = 1,402,176.
Square of 1184 in exponential form: 1184²
Square of 1184 in arithmetic form: 1184 × 1184
How to Calculate the Value of Square of 1184
The square of a number is found by 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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 1184.
Step 1: Identify the number. Here, the number is 1184.
Step 2: Multiplying the number by itself, we get, 1184 × 1184 = 1,402,176.
The square of 1184 is 1,402,176.
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 1184.
So: 1184² = 1184 × 1184 = 1,402,176
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 1184.
Step 1: Enter the number in the calculator. Enter 1184 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 1184 × 1184
Step 3: Press the equal to button to find the answer. Here, the square of 1184 is 1,402,176.
Tips and Tricks for the Square of 1184
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 1184
Mistakes are common among kids when doing math, especially when it comes to 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.
Mistake 2
Errors in using the formula.
The formula to find the square of the number is a². Instead, students may use 1184² with (1 +1+8+4)² or (1100 + 84)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing 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 the use of parentheses and perform the operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should practice regularly to avoid errors.
Solved Examples on Square of 1184
Problem 1
Find the length of the square, where the area of the square is 1,402,176 cm².
The area of a square = a²
So, the area of a square = 1,402,176 cm²
So, the length = √1,402,176 = 1184.
The length of each side = 1184 cm
Explanation
The length of a square is 1184 cm because the area is 1,402,176 cm², so the length is √1,402,176 = 1184.
Problem 2
Sarah wants to carpet her square hall of length 1184 feet. The cost to carpet a foot is 5 dollars. Then how much will it cost to carpet the full hall?
The length of the hall = 1184 feet
The cost to carpet 1 square foot of hall = 5 dollars.
To find the total cost to carpet, we find the area of the hall,
Area of the hall = area of the square = a²
Here a = 1184
Therefore, the area of the hall = 1184² = 1184 × 1184 = 1,402,176.
The cost to carpet the hall = 1,402,176 × 5 = 7,010,880.
The total cost = 7,010,880 dollars
Explanation
To find the cost to carpet the hall, we multiply the area of the hall by the cost to carpet per foot. So, the total cost is 7,010,880 dollars.
Problem 3
Find the area of a circle whose radius is 1184 meters.
The area of the circle = 4,401,116.16 m²
Explanation
The area of a circle = πr²
Here, r = 1184
Therefore, the area of the circle = π × 1184²
= 3.14 × 1184 × 1184
= 4,401,116.16 m².
Problem 4
The area of the square is 1,402,176 cm². Find the perimeter of the square.
The perimeter of the square is 4736 cm
Explanation
The area of the square = a²
Here, the area is 1,402,176 cm²
The length of the side is √1,402,176 = 1184
Perimeter of the square = 4a
Here, a = 1184
Therefore, the perimeter = 4 × 1184 = 4736.
Problem 5
Find the square of 1190.
The square of 1190 is 1,416,100
Explanation
The square of 1190 is multiplying 1190 by 1190. So, the square = 1190 × 1190 = 1,416,100
FAQs on Square of 1184
1.What is the square of 1184?
2.What is the square root of 1184?
3.Is 1184 a perfect square?
4.What are the first few multiples of 1184?
5.What is the square of 1200?
6.How does learning Algebra help students in United Kingdom make better decisions in daily life?
7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Square of 1184?
8.How do technology and digital tools in United Kingdom support learning Algebra and Square of 1184?
9.Does learning Algebra support future career opportunities for students in United Kingdom?
Important Glossaries for Square 1184.
- Perfect square: A number that is the square of an integer is called a perfect square. For example, 144 is a perfect square because it is 12².
- Exponent: The number that indicates how many times the base is multiplied by itself. For example, in 1184², 2 is the exponent.
- Square root: The square root is a value that, when multiplied by itself, gives the original number. For example, the square root of 144 is 12.
- Multiplication method: A method of finding the square by directly multiplying the number by itself.
- Area: The measure of the space inside a shape, typically measured in square units. For example, the area of a square is a², where a is the length of a side.
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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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