132 LearnersLast updated on May 30th, 2025
Square of 196
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 196.
What is the Square of 196
The square of a number is the product of the number itself.
The square of 196 is 196 × 196.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 196², where 196 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 196 is 196 × 196 = 38416.
Square of 196 in exponential form: 196²
Square of 196 in arithmetic form: 196 × 196
How to Calculate the Value of Square of 196
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 196.
Step 1: Identify the number. Here, the number is 196
Step 2: Multiply the number by itself, we get, 196 × 196 = 38416.
The square of 196 is 38416.
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 196 So: 196² = 196 × 196 = 38416
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 196.
Step 1: Enter the number in the calculator Enter 196 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 196 × 196
Step 3: Press the equal to button to find the answer Here, the square of 196 is 38416.
Tips and Tricks for the Square of 196
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 196
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 196² with (19+6)² or (190+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 196
Problem 1
Find the length of the square, where the area of the square is 38416 cm².
The area of a square = a² So, the area of a square = 38416 cm² So, the length = √38416 = 196. The length of each side = 196 cm
Explanation
The length of a square is 196 cm.
Because the area is 38416 cm² the length is √38416 = 196.
Problem 2
Sarah is planning to tile her square floor of length 196 meters. The cost to tile a square meter is 5 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 196 meters The cost to tile 1 square meter 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 = 196 Therefore, the area of the floor = 196² = 196 × 196 = 38416. The cost to tile the floor = 38416 × 5 = 192080. The total cost = 192080 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by cost to tile per meter.
So, the total cost is 192080 dollars.
Problem 3
Find the area of a circle whose radius is 196 meters.
The area of the circle = 120754.56 m²
Explanation
The area of a circle = πr²
Here, r = 196
Therefore, the area of the circle = π × 196² = 3.14 × 196 × 196 = 120754.56 m².
Problem 4
The area of the square is 38416 cm². Find the perimeter of the square.
The perimeter of the square is 784 cm
Explanation
The area of the square = a²
Here, the area is 38416 cm²
The length of the side is √38416 = 196
Perimeter of the square = 4a Here, a = 196
Therefore, the perimeter = 4 × 196 = 784.
Problem 5
Find the square of 197.
The square of 197 is 38809
Explanation
The square of 197 is multiplying 197 by 197.
So, the square = 197 × 197 = 38809
FAQs on Square of 196
1.What is the square of 196?
2.What is the square root of 196?
3.Is 196 a perfect square?
4.What are the first few multiples of 196?
5.What is the square of 195?
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 196?
8.How do technology and digital tools in India support learning Algebra and Square of 196?
9.Does learning Algebra support future career opportunities for students in India?
Important Glossaries for Square 196.
- Perfect square: A number that is the square of an integer, for example, 144, 169, 196.
- Exponent: The exponent of a number says how many times to use the number in a multiplication, for example, in 196², the exponent is 2.
- Even number: A number divisible by 2 without a remainder, for example, 4, 196, 100.
- Square root: The inverse operation of squaring a number, where the square root of a number is a value that gives the original number when multiplied by itself.
- Multiplication: A mathematical operation to find the product of numbers, for example, 196 × 196 = 38416.
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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.
