125 LearnersLast updated on May 30th, 2025
Square of 118
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 118.
What is the Square of 118
The square of a number is the product of the number by itself.
The square of 118 is 118 × 118.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 118², where 118 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 118 is 118 × 118 = 13,924.
Square of 118 in exponential form: 118²
Square of 118 in arithmetic form: 118 × 118
How to Calculate the Value of Square of 118
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 (a2)
- 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 118.
Step 1: Identify the number. Here, the number is 118.
Step 2: Multiply the number by itself, we get, 118 × 118 = 13,924.
The square of 118 is 13,924.
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 118.
So: 118² = 118 × 118 = 13,924
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 118.
Step 1: Enter the number in the calculator. Enter 118 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 118 × 118.
Step 3: Press the equal button to find the answer. Here, the square of 118 is 13,924.
Tips and Tricks for the Square of 118
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 118
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 steps or swap the digits. To avoid these, 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.
Mistake 2
Errors in Using the Formula
The formula to find the square of the number is a². Instead, students may incorrectly use (11 + 8)² or (100 + 18)². Students should check and use the correct formula and double-check the answers to avoid all 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 this, 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 parentheses when finding the square of a number can lead to errors. So, students should understand 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. Students should practice regularly to avoid errors.
Solved Examples on Square of 118
Problem 1
A painting is in the shape of a square and has an area of 13,924 square inches. Find the length of one side of the painting.
The area of a square = a²
So, the area of the square = 13,924 square inches
The length is √13,924 = 118 inches.
The length of each side is 118 inches.
Explanation
The length of a side of the square painting is 118 inches because the area is 13,924 square inches and the length is √13,924 = 118.
Problem 2
Emma wants to place tiles on her square-shaped garden, each tile costing 4 dollars. The side length of the garden is 118 meters. How much will it cost to tile the entire garden?
The length of the garden = 118 meters
The cost to tile 1 square meter of the garden = 4 dollars.
To find the total cost, we find the area of the garden:
Area of the garden = area of the square = a²
Here a = 118 Therefore, the area of the garden = 118² = 118 × 118 = 13,924.
The cost to tile the garden = 13,924 × 4 = 55,696 dollars.
The total cost = 55,696 dollars.
Explanation
To find the cost to tile the garden, we multiply the area of the garden by the cost to tile per square meter. So, the total cost is 55,696 dollars.
Problem 3
Find the area of a circle whose radius is 118 meters.
The area of the circle = 43,721.48 m²
Explanation
The area of a circle = πr²
Here, r = 118
Therefore, the area of the circle = π × 118² = 3.14 × 118 × 118 = 43,721.48 m².
Problem 4
The area of a square is 13,924 cm². Find the perimeter of the square.
The perimeter of the square is 472 cm.
Explanation
The area of the square = a²
Here, the area is 13,924 cm²
The length of the side is √13,924 = 118
Perimeter of the square = 4a
Here, a = 118
Therefore, the perimeter = 4 × 118 = 472 cm.
Problem 5
Find the square of 119.
The square of 119 is 14,161.
Explanation
The square of 119 is multiplying 119 by 119.
So, the square = 119 × 119 = 14,161.
FAQs on Square of 118
1.What is the square of 118?
2.What is the square root of 118?
3.Is 118 a prime number?
4.What are the first few multiples of 118?
5.What is the square of 117?
6.How does learning Algebra help students in Bahrain make better decisions in daily life?
7.How can cultural or local activities in Bahrain support learning Algebra topics such as Square of 118?
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9.Does learning Algebra support future career opportunities for students in Bahrain?
Important Glossaries for Square 118
- Perfect square: A perfect square is a number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Base: In exponential expressions, the base is the number that is being multiplied. For example, in 118², 118 is the base.
- Exponent: The exponent indicates how many times the base is multiplied by itself. For example, in 118², 2 is the exponent.
- Square root: The square root is the inverse operation of squaring a number. It is a number whose square is the number itself.
- Even number: An even number is any integer that is divisible by 2 without leaving a remainder. For example, 118 is an even number.
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About BrightChamps in Bahrain
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.
