114 LearnersLast updated on May 26th, 2025
Square of 112
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 112.
What is the Square of 112
The square of a number is the product of the number itself. The square of 112 is 112 × 112. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 112², where 112 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 112 is 112 × 112 = 12544. Square of 112 in exponential form: 112² Square of 112 in arithmetic form: 112 × 112
How to Calculate the Value of Square of 112
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 - 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 112. Step 1: Identify the number. Here, the number is 112. Step 2: Multiplying the number by itself, we get, 112 × 112 = 12544. The square of 112 is 12544.
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 112 So: 112² = 112 × 112 = 12544
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 112. Step 1: Enter the number in the calculator Enter 112 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×) That is 112 × 112 Step 3: Press the equal to button to find the answer Here, the square of 112 is 12544. Tips and Tricks for the Square of 112 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 112
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 while using the formula.
The formula to find the square of the number is a². Instead, students may use 112² with (11 + 2)² or (110 + 2)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 errors.
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 112
Problem 1
A square garden has an area of 12544 square meters. What is the length of each side of the garden?
The area of a square = a² So, the area of a square = 12544 m² So, the length = √12544 = 112. The length of each side = 112 meters
Explanation
The length of a square garden is 112 meters. Because the area is 12544 m², the length is √12544 = 112.
Problem 2
A builder wants to tile a square floor of length 112 feet. The cost to tile a square foot is 5 dollars. What will it cost to tile the entire floor?
The length of the floor = 112 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 = 112 Therefore, the area of the floor = 112² = 112 × 112 = 12544. The cost to tile the floor = 12544 × 5 = 62720. The total cost = 62720 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 62720 dollars.
Problem 3
Find the area of a circle whose radius is 112 meters.
The area of the circle = 39478.4 m²
Explanation
The area of a circle = πr² Here, r = 112 Therefore, the area of the circle = π × 112² = 3.14 × 112 × 112 = 39478.4 m².
Problem 4
The area of the square is 12544 m². Find the perimeter of the square.
The perimeter of the square is 448 meters.
Explanation
The area of the square = a² Here, the area is 12544 m² The length of the side is √12544 = 112 Perimeter of the square = 4a Here, a = 112 Therefore, the perimeter = 4 × 112 = 448 meters.
Problem 5
Find the square of 113.
The square of 113 is 12769.
Explanation
The square of 113 is multiplying 113 by 113. So, the square = 113 × 113 = 12769
FAQs on Square of 112
1.What is the square of 112?
2.What is the square root of 112?
3.Is 112 a prime number?
4.What are the first few multiples of 112?
5.What is the square of 111?
6.How does learning Algebra help students in India make better decisions in daily life?
7.How can cultural or local activities in India support learning Algebra topics such as Square of 112?
8.How do technology and digital tools in India support learning Algebra and Square of 112?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square of 112.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, etc. - Exponential form: A way of expressing numbers as a power, such as 112², where 112 is the base and 2 is the exponent. - 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. - Perfect square: A number that is the square of an integer. For example, 144 is a perfect square of 12. - Area: The measure of the extent of a two-dimensional surface within a boundary, typically expressed in square units.
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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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