113 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 this 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 (-100)², 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; (-5)² = 25.
The square of -100 is (-100) × (-100) = 10000.
Square of -100 in exponential form: (-100)²
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) = 10000.
The square of -100 is 10000.
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: (-100)² = (-100) × (-100) = 10000
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 10000.
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.
Solved Examples on Square of -100
Problem 1
Find the length of a square, where the area of the square is 10000 cm².
The area of a square = a²
So, the area of a square = 10000 cm²
So, the length = √10000 = 100.
The length of each side = 100 cm
Explanation
The length of a square is 100 cm. Because the area is 10000 cm² the length is √10000 = 100.
Problem 2
Emily is planning to paint her square wall of length 100 feet. The cost to paint a foot is 3 dollars. Then how much will it cost to paint the full wall?
The length of the wall = 100 feet
The cost to paint 1 square foot of wall = is 3 dollars.
To find the total cost to paint, we find the area of the wall, Area of the wall = area of the square = a²
Here a = 100
Therefore, the area of the wall = 100² = 100 × 100 = 10000.
The cost to paint the wall = 10000 × 3 = 30000.
The total cost = 30000 dollars
Explanation
To find the cost to paint the wall, we multiply the area of the wall by cost to paint per foot. So, the total cost is 30000 dollars.
Problem 3
Find the area of a circle whose radius is 100 meters.
The area of the circle = 31400 m²
Explanation
The area of a circle = πr²
Here, r = 100
Therefore, the area of the circle = π × 100² = 3.14 × 100 × 100 = 31400 m².
Problem 4
The area of a square is 10000 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 10000 cm²
The length of the side is √10000 = 100
Perimeter of the square = 4a
Here, a = 100
Therefore, the perimeter = 4 × 100 = 400.
Problem 5
Find the square of -101.
The square of -101 is 10201.
Explanation
The square of -101 is multiplying -101 by -101.
So, the square = (-101) × (-101) = 10201.
FAQs on Square of -100
1.What is the square of -100?
2.What is the square root of 10000?
3.Is -100 a prime number?
4.What are the first few multiples of 100?
5.What is the square of -99?
Important Glossaries for Square of -100.
- Integer: A whole number that can be positive, negative, or zero.
- Exponent: A mathematical notation indicating the number of times a number is multiplied by itself. For example, in (-100)², 2 is the exponent.
- Perfect Square: A number that is the square of an integer. For example, 10000 is a perfect square because it is 100².
- Multiplication: An arithmetic operation that combines two numbers to produce a product.
- Square Root: The inverse operation of squaring a number. The square root of a number is a value that, when multiplied by itself, gives the original number.
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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.
