127 LearnersLast updated on May 30th, 2025
Square of 116
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 116.
What is the Square of 116
The square of a number is the product of the number itself.
The square of 116 is 116 × 116.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 116², where 116 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 116 is 116 × 116 = 13456.
Square of 116 in exponential form: 116²
Square of 116 in arithmetic form: 116 × 116
How to Calculate the Value of Square of 116
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 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 116.
Step 1: Identify the number. Here, the number is 116.
Step 2: Multiplying the number by itself, we get, 116 × 116 = 13456.
The square of 116 is 13456.
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 116.
So: 116² = 116 × 116 = 13456
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 116.
Step 1: Enter the number in the calculator. Enter 116 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×). That is 116 × 116
Step 3: Press the equal to button to find the answer. Here, the square of 116 is 13456.
Tips and Tricks for the Square of 116
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 116
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 else by swapping 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 116² with (11 + 6)² or (110 + 6)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 116
Problem 1
Find the length of the square, where the area of the square is 13456 cm².
The area of a square = a²
So, the area of a square = 13456 cm²
So, the length = √13456 = 116.
The length of each side = 116 cm
Explanation
The length of a square is 116 cm.
Because the area is 13456 cm², the length is √13456 = 116.
Problem 2
Sarah is planning to paint her square garden of length 116 feet. The cost to paint a foot is 2 dollars. Then how much will it cost to paint the full garden?
The length of the garden = 116 feet
The cost to paint 1 square foot of the garden = 2 dollars.
To find the total cost to paint, we find the area of the garden, Area of the garden = area of the square = a²
Here a = 116
Therefore, the area of the garden = 116² = 116 × 116 = 13456.
The cost to paint the garden = 13456 × 2 = 26912.
The total cost = 26912 dollars
Explanation
To find the cost to paint the garden, we multiply the area of the garden by the cost to paint per foot. So, the total cost is 26912 dollars.
Problem 3
Find the area of a circle whose radius is 116 meters.
The area of the circle = 42356.16 m²
Explanation
The area of a circle = πr²
Here, r = 116
Therefore, the area of the circle = π × 116² = 3.14 × 116 × 116 = 42356.16 m².
Problem 4
The area of the square is 13456 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 13456 cm²
The length of the side is √13456 = 116
Perimeter of the square = 4a Here, a = 116
Therefore, the perimeter = 4 × 116 = 464.
Problem 5
Find the square of 117.
The square of 117 is 13689
Explanation
The square of 117 is multiplying 117 by 117.
So, the square = 117 × 117 = 13689
FAQs on Square of 116
1.What is the square of 116?
2.What is the square root of 116?
3.Is 116 a prime number?
4.What are the first few multiples of 116?
5.What is the square of 115?
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 116?
8.How do technology and digital tools in United States support learning Algebra and Square of 116?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 116.
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square because it is 12².
- Exponentiation: The process of raising a number to a power. For example, in 5², 2 is the exponent.
- Inverse operation: An operation that reverses the effect of another operation. For example, squaring and square rooting are inverse operations.
- Even number: An integer divisible by 2 without a remainder. For example, 2, 4, 6, etc.
- Area: The amount of space enclosed within a shape. For example, the area of a square is side².
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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.
