114 LearnersLast updated on May 26th, 2025
Square of -10
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 -10.
What is the Square of -10
The square of a number is the product of the number itself. The square of -10 is -10 × -10. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as (-10)², where -10 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 -10 is -10 × -10 = 100.
Square of -10 in exponential form: (-10)²
Square of -10 in arithmetic form: -10 × -10
How to Calculate the Value of Square of -10
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 -10.
Step 1: Identify the number. Here, the number is -10.
Step 2: Multiplying the number by itself, we get, -10 × -10 = 100.
The square of -10 is 100.
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 -10 So: (-10)² = -10 × -10 = 100
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 -10.
Step 1: Enter the number in the calculator Enter -10 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is -10 × -10
Step 3: Press the equal to button to find the answer Here, the square of -10 is 100.
Tips and Tricks for the Square of -10: 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 -10
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 -10
Problem 1
Find the length of the square, where the area of the square is 100 cm².
The area of a square = a²
So, the area of a square = 100 cm²
So, the length = √100 = 10.
The length of each side = 10 cm
Explanation
The length of a square is 10 cm. Because the area is 100 cm² the length is √100 = 10.
Problem 2
Tom is planning to paint his square wall of length 10 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 = 10 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 = 10
Therefore, the area of the wall = 10² = 10 × 10 = 100.
The cost to paint the wall = 100 × 3 = 300.
The total cost = 300 dollars
Explanation
To find the cost to paint the wall, we multiply the area of the wall by the cost to paint per foot. So, the total cost is 300 dollars.
Problem 3
Find the area of a circle whose radius is 10 meters.
The area of the circle = 314 m²
Explanation
The area of a circle = πr²
Here, r = 10
Therefore, the area of the circle = π × 10² = 3.14 × 10 × 10 = 314 m².
Problem 4
The area of the square is 100 cm². Find the perimeter of the square.
The perimeter of the square is 40 cm
Explanation
The area of the square = a²
Here, the area is 100 cm²
The length of the side is √100 = 10
Perimeter of the square = 4a
Here, a = 10
Therefore, the perimeter = 4 × 10 = 40 cm.
Problem 5
Find the square of 11.
The square of 11 is 121
Explanation
The square of 11 is multiplying 11 by 11. So, the square = 11 × 11 = 121
FAQs on Square of -10
1.What is the square of -10?
2.What is the square root of -10?
3.What is the square of 10?
4.What is the square of -5?
5.What is the square of 0?
Important Glossaries for Square of -10.
- Perfect square: A number that is the square of an integer. For example, 4, 9, 16, and 100 are perfect squares.
- Exponent: An exponent indicates how many times a number, called the base, is multiplied by itself. For example, in 2², 2 is the base and 2 is the exponent.
- Negative number: A number less than zero, often represented with a minus sign. For example, -1, -10, and -5 are negative numbers.
- Real numbers: The set of all rational and irrational numbers, including integers, fractions, and decimals.
- Imaginary numbers: Numbers that are multiples of the imaginary unit i, where i² = -1. These numbers are not real and are used to extend the real number system.
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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.
