110 LearnersLast updated on May 26th, 2025
Square of -19
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 -19.
What is the Square of -19
The square of a number is the product of the number itself. The square of -19 is (-19) × (-19). The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as (-19)², where -19 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 -19 is (-19) × (-19) = 361.
Square of -19 in exponential form: (-19)²
Square of -19 in arithmetic form: (-19) × (-19)
How to Calculate the Value of Square of -19
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 -19.
Step 1: Identify the number. Here, the number is -19.
Step 2: Multiplying the number by itself, we get, (-19) × (-19) = 361.
The square of -19 is 361.
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 -19. So: (-19)² = (-19) × (-19) = 361
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 -19.
Step 1: Enter the number in the calculator Enter -19 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is (-19) × (-19)
Step 3: Press the equal to button to find the answer Here, the square of -19 is 361.
Tips and Tricks for the Square of -19: 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 -19
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 -19
Problem 1
A garden is in the shape of a square with each side measuring -19 meters. Find the area of the garden.
The area of the garden = a²
So, the area of the garden = (-19)² = 361 m².
Explanation
The area of the garden is calculated by squaring the length of one side, which is -19 meters. Hence, the area is 361 m².
Problem 2
A square signboard has a side length of -19 inches. If the cost to paint one square inch is 2 dollars, what will be the total cost to paint the signboard?
The side length of the signboard = -19 inches.
The cost to paint 1 square inch = 2 dollars.
To find the total cost to paint, we find the area of the signboard,
Area of the signboard = a²
Here, a = -19
Therefore, the area = (-19)² = 361.
The cost to paint the signboard = 361 × 2 = 722.
The total cost = 722 dollars.
Explanation
To find the cost to paint the signboard, we multiply the area of the signboard by the cost to paint per square inch. So, the total cost is 722 dollars.
Problem 3
Find the area of a circle whose radius is -19 meters.
The area of the circle = 1,134.11 m²
Explanation
The area of a circle = πr²
Here, r = -19
Therefore, the area of the circle = π × (-19)² = 3.14 × 361 = 1,134.11 m².
Problem 4
The perimeter of a square is 76 cm. Find the length of a side of the square.
The length of each side of the square is 19 cm.
Explanation
The perimeter of a square = 4a
Here, the perimeter is 76 cm.
So, 4a = 76
Therefore, the length of a side, a = 76/4 = 19 cm.
Problem 5
Find the square of 18.
The square of 18 is 324.
Explanation
The square of 18 is multiplying 18 by 18. So, the square = 18 × 18 = 324.
FAQs on Square of -19
1.What is the square of -19?
2.What is the square root of 361?
3.Is -19 a prime number?
4.What are the first few multiples of 19?
5.What is the square of -18?
Important Glossaries for Square of -19.
- Perfect square: A number that is the square of an integer. For example, 361 is a perfect square because 19² = 361.
- Exponent: A mathematical notation indicating the number of times a quantity is multiplied by itself. For example, in (-19)², 2 is the exponent.
- Square root: The square root is 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.
- Multiplication: A mathematical operation where a number is added to itself a number of times. For example, (-19) × (-19) is a multiplication operation.
- Calculator: An electronic device used for performing mathematical calculations. It can be used to find squares and square roots quickly.
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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.
