114 LearnersLast updated on May 26th, 2025
Square of 100
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 100.
What is the Square of 100
The square of a number is the product of the number itself. The square of 100 is 100 × 100. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 100², where 100 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 100 is 100 × 100 = 10,000. Square of 100 in exponential form: 100² Square of 100 in arithmetic form: 100 × 100
How to Calculate the Value of Square of 100
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 100 Step 1: Identify the number. Here, the number is 100 Step 2: Multiplying the number by itself, we get, 100 × 100 = 10,000. The square of 100 is 10,000.
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 100 So: 100² = 100 × 100 = 10,000
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 100. Step 1: Enter the number in the calculator Enter 100 in the calculator. Step 2: Multiply the number by itself using the multiplication button (×) That is 100 × 100 Step 3: Press the equal to button to find the answer Here, the square of 100 is 10,000. Tips and Tricks for the Square of 100 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 100
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 100² with (10 + 0)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 100
Problem 1
Find the length of the square, where the area of the square is 10,000 cm².
The area of a square = a² So, the area of a square = 10,000 cm² So, the length = √10,000 = 100. The length of each side = 100 cm
Explanation
The length of a square is 100 cm. Because the area is 10,000 cm² the length is √10,000 = 100.
Problem 2
Alice is planning to cover her square garden of length 100 feet with grass. The cost to cover a foot is 2 dollars. Then how much will it cost to cover the full garden?
The length of the garden = 100 feet The cost to cover 1 square foot of the garden = 2 dollars. To find the total cost to cover, we find the area of the garden, Area of the garden = area of the square = a² Here a = 100 Therefore, the area of the garden = 100² = 100 × 100 = 10,000. The cost to cover the garden = 10,000 × 2 = 20,000. The total cost = 20,000 dollars
Explanation
To find the cost to cover the garden, we multiply the area of the garden by the cost to cover per foot. So, the total cost is 20,000 dollars.
Problem 3
Find the area of a circle whose radius is 100 meters.
The area of the circle = 31,400 m²
Explanation
The area of a circle = πr² Here, r = 100 Therefore, the area of the circle = π × 100² = 3.14 × 100 × 100 = 31,400 m².
Problem 4
The area of the square is 10,000 cm². Find the perimeter of the square.
The perimeter of the square is 400 cm
Explanation
The area of the square = a² Here, the area is 10,000 cm² The length of the side is √10,000 = 100 Perimeter of the square = 4a Here, a = 100 Therefore, the perimeter = 4 × 100 = 400 cm.
Problem 5
Find the square of 101.
The square of 101 is 10,201
Explanation
The square of 101 is multiplying 101 by 101. So, the square = 101 × 101 = 10,201
FAQs on Square of 100
1.What is the square of 100?
2.What is the square root of 100?
3.Is 100 a perfect square?
4.What are the first few multiples of 100?
5.What is the square of 99?
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 100?
8.How do technology and digital tools in United States support learning Algebra and Square of 100?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 100.
Perfect square: A number that is the square of an integer. For example, 100, 121, 144, etc. Exponent: The number that indicates how many times the base is multiplied by itself. For example, in 100², 2 is the exponent. Area: The measure of the surface enclosed within a set of lines, such as the surface of a square calculated as a². Multiplication: A mathematical operation to find the product of two numbers. For example, 100 × 100 = 10,000. Square root: The number that, when multiplied by itself, gives the original number. For example, the square root of 100 is 10.
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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.
