114 LearnersLast updated on May 29th, 2025
Square of 10000
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 10000.
What is the Square of 10000
The square of a number is the product of the number itself.
The square of 10000 is 10000 × 10000.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 10000², where 10000 is the base and 2 is the exponent.
The square of a positive and a negative number is always positive.
For example, 5² = 25; (-5)² = 25.
The square of 10000 is 10000 × 10000 = 100000000.
Square of 10000 in exponential form: 10000²
Square of 10000 in arithmetic form: 10000 × 10000
How to Calculate the Value of Square of 10000
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 10000
Step 1: Identify the number. Here, the number is 10000
Step 2: Multiplying the number by itself, we get, 10000 × 10000 = 100000000.
The square of 10000 is 100000000.
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 10000
So: 10000² = 10000 × 10000 = 100000000
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 10000.
Step 1: Enter the number in the calculator Enter 10000 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 10000 × 10000
Step 3: Press the equal to button to find the answer Here, the square of 10000 is 100000000.
Tips and Tricks for the Square of 10000
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 10000
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.
Solved Examples on Square of 10000
Problem 1
Find the length of the square, where the area of the square is 100000000 cm².
The area of a square = a² So, the area of a square = 100000000 cm² So, the length = √100000000 = 10000. The length of each side = 10000 cm
Explanation
The length of a square is 10000 cm.
Because the area is 100000000 cm² the length is √100000000 = 10000.
Problem 2
A giant banner with a square shape measuring 10000 feet on each side is needed for a concert. If the cost to make a square foot of banner is $2, how much will it cost to make the full banner?
The length of the banner = 10000 feet The cost to make 1 square foot of banner = $2. To find the total cost to make the banner, we find the area of the banner, Area of the banner = area of the square = a² Here a = 10000 Therefore, the area of the banner = 10000² = 10000 × 10000 = 100000000. The cost to make the banner = 100000000 × 2 = 200000000. The total cost = $200000000
Explanation
To find the cost to make the banner, we multiply the area of the banner by the cost to make per square foot.
So, the total cost is $200000000.
Problem 3
Find the area of a circle whose radius is 10000 meters.
The area of the circle = 314159265.36 m²
Explanation
The area of a circle = πr²
Here, r = 10000
Therefore, the area of the circle = π × 10000² = 3.14 × 10000 × 10000 = 314159265.36 m².
Problem 4
The area of the square is 100000000 cm². Find the perimeter of the square.
The perimeter of the square is 40000 cm
Explanation
The area of the square = a²
Here, the area is 100000000 cm²
The length of the side is √100000000 = 10000
Perimeter of the square = 4a
Here, a = 10000
Therefore, the perimeter = 4 × 10000 = 40000.
Problem 5
Find the square of 10100.
The square of 10100 is 102010000
Explanation
The square of 10100 is multiplying 10100 by 10100.
So, the square = 10100 × 10100 = 102010000
FAQs on Square of 10000
1.What is the square of 10000?
2.What is the square root of 10000?
3.Is 10000 a perfect square?
4.What are the first few multiples of 10000?
5.What is the square of 9999?
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 10000?
8.How do technology and digital tools in United States support learning Algebra and Square of 10000?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square of 10000.
- Perfect square: A number that is the square of an integer. For example, 10000 is a perfect square.
- Square: The result of multiplying a number by itself. For example, the square of 10000 is 100000000.
- Exponential form: Writing a number with a base and an exponent. For example, 10000² where 10000 is the base and 2 is the exponent.
- Square root: The number that produces a specified quantity when multiplied by itself. For example, the square root of 10000 is 100.
- Multiples: The result of multiplying a number by integers. For example, multiples of 10000 are 10000, 20000, etc.
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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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