113 LearnersLast updated on May 26th, 2025
Square of -5
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 -5.
What is the Square of -5
The square of a number is the product of the number with itself. The square of -5 is -5 × -5. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as (-5)², where -5 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 -5 is -5 × -5 = 25.
Square of -5 in exponential form: (-5)²
Square of -5 in arithmetic form: -5 × -5
How to Calculate the Value of Square of -5
The square of a number is obtained by multiplying the number by itself. 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 -5.
Step 1: Identify the number. Here, the number is -5
Step 2: Multiplying the number by itself, we get, -5 × -5 = 25.
The square of -5 is 25.
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 -5 So: (-5)² = -5 × -5 = 25
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 -5.
Step 1: Enter the number in the calculator Enter -5 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is -5 × -5
Step 3: Press the equal to button to find the answer Here, the square of -5 is 25. Tips and Tricks for the Square of -5 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 -5
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 swap 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 -5
Problem 1
A garden is in the shape of a square, and its area is 25 square meters. What is the length of each side of the garden?
The area of a square = a²
So, the area of the square = 25 m²
Therefore, the length of each side = √25 = 5 m
Explanation
The length of each side of the garden is 5 meters. Because the area is 25 m², the length is √25 = 5.
Problem 2
A painting is square-shaped with a side length of -5 feet. If the cost to frame per foot is 10 dollars, how much will it cost to frame the entire painting?
The length of the side = 5 feet
The cost to frame 1 foot = 10 dollars
To find the total cost to frame, we find the perimeter of the painting,
Perimeter = 4 × length of side
Here, length = 5
Therefore, perimeter = 4 × 5 = 20 feet
The cost to frame the painting = 20 × 10 = 200 dollars
Explanation
To find the cost to frame the painting, we multiply the perimeter of the painting by the cost to frame per foot. So, the total cost is 200 dollars.
Problem 3
Find the area of a square whose side length is -5 meters.
The area of the square = 25 m²
Explanation
The area of a square = a²
Here, a = -5
Therefore, the area of the square = (-5)² = 25 m².
Problem 4
The area of a square is 25 cm². Find the perimeter of the square.
The perimeter of the square is 20 cm.
Explanation
The area of the square = a²
Here, the area is 25 cm² The length of the side is √25 = 5 cm
Perimeter of the square = 4a
Here, a = 5
Therefore, the perimeter = 4 × 5 = 20 cm.
Problem 5
Find the square of 6.
The square of 6 is 36.
Explanation
The square of 6 is multiplying 6 by 6. So, the square = 6 × 6 = 36
FAQs on Square of -5
1.What is the square of -5?
2.What is the square root of -5?
3.Is -5 a prime number?
4.What are the first few multiples of -5?
5.What is the square of 4?
Important Glossaries for Square of -5.
- Integer: A whole number that can be positive, negative, or zero. For example, -5, 0, 3, 7.
- Exponent: The exponent is the number that represents the power to which the base number is raised. For example, in ², 2 is the exponent.
- Perfect Square: A number that is the square of an integer. For example, 25 is a perfect square because it is 5².
- Square Root: The square root is the inverse operation of squaring a number. It is a number which when multiplied by itself gives the original number.
- Arithmetic Form: The representation of mathematical operations using basic arithmetic symbols. For example, -5 × -5 for the square of -5.
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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.
