112 LearnersLast updated on May 26th, 2025
Square of 1188
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 the topic, we will discuss the square of 1188.
What is the Square of 1188
The square of a number is the product of the number with itself. The square of 1188 is 1188 × 1188. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1188², where 1188 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 1188 is 1188 × 1188 = 1,411,344.
Square of 1188 in exponential form: 1188²
Square of 1188 in arithmetic form: 1188 × 1188
How to Calculate the Value of Square of 1188
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 1188.
Step 1: Identify the number. Here, the number is 1188.
Step 2: Multiply the number by itself, we get, 1188 × 1188 = 1,411,344.
The square of 1188 is 1,411,344.
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 1188.
So: 1188² = 1188 × 1188 = 1,411,344
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 1188.
Step 1: Enter the number in the calculator Enter 1188 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 1188 × 1188
Step 3: Press the equal to button to find the answer
Here, the square of 1188 is 1,411,344.
Tips and Tricks for the Square of 1188
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 1188
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.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use 1188² with (1100+88)² or (1000+188)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with 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 parentheses. And do the operations in the correct order to avoid error.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 1188
Problem 1
Find the length of the square, where the area of the square is 1,411,344 cm².
The area of a square = a²
So, the area of a square = 1,411,344 cm²
So, the length = √1,411,344 = 1188.
The length of each side = 1188 cm
Explanation
The length of a square is 1188 cm. Because the area is 1,411,344 cm², the length is √1,411,344 = 1188.
Problem 2
Sarah is planning to tile her square floor of length 1188 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 1188 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 = 1188
Therefore, the area of the floor = 1188² = 1188 × 1188 = 1,411,344.
The cost to tile the floor = 1,411,344 × 5 = 7,056,720.
The total cost = 7,056,720 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 7,056,720 dollars.
Problem 3
Find the area of a circle whose radius is 1188 meters.
The area of the circle = 4,433,433.28 m²
Explanation
The area of a circle = πr²
Here, r = 1188
Therefore, the area of the circle = π × 1188²
= 3.14 × 1188 × 1188
= 4,433,433.28 m².
Problem 4
The area of the square is 1,411,344 cm². Find the perimeter of the square.
The perimeter of the square is 4,752 cm.
Explanation
The area of the square = a²
Here, the area is 1,411,344 cm²
The length of the side is √1,411,344 = 1188
Perimeter of the square = 4a
Here, a = 1188
Therefore, the perimeter = 4 × 1188 = 4,752 cm.
Problem 5
Find the square of 1189.
The square of 1189 is 1,414,721.
Explanation
The square of 1189 is multiplying 1189 by 1189. So, the square = 1189 × 1189 = 1,414,721.
FAQs on Square of 1188
1.What is the square of 1188?
2.What is the square root of 1188?
3.Is 1188 a prime number?
4.What are the first few multiples of 1188?
5.What is the square of 1187?
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 1188?
8.How do technology and digital tools in United States support learning Algebra and Square of 1188?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 1188.
- Perfect Square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Square Number: A number that can be expressed as the product of an integer with itself. For example, 25 is a square number because it is 5².
- Exponent: The number that indicates how many times the base is multiplied by itself. For example, in 1188², 2 is the exponent.
- Multiplication: A mathematical operation to find the product of numbers. For example, 3 × 4 = 12.
- Inverse Operation: An operation that reverses the effect of another operation. For example, squaring and square rooting are inverse operations.
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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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