112 LearnersLast updated on May 26th, 2025
Square of -25
The product of multiplying an integer by itself is the square of a number. The concept of squares is used in programming, calculating areas, and more. In this topic, we will discuss the square of -25.
What is the Square of -25
The square of a number is the product of the number with itself. The square of -25 is -25 × -25. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as (-25)², where -25 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 -25 is -25 × -25 = 625.
Square of -25 in exponential form: (-25)²
Square of -25 in arithmetic form: -25 × -25
How to Calculate the Value of Square of -25
The square of a number is found by multiplying the number by itself. Here are common methods to find the square of a number:
- By Multiplication Method
- Using a Formula
- Using a Calculator
By the Multiplication Method
In this method, we multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of -25.
Step 1: Identify the number. Here, the number is -25.
Step 2: Multiplying the number by itself, we get, -25 × -25 = 625.
The square of -25 is 625.
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 -25. So: (-25)² = -25 × -25 = 625
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 -25.
Step 1: Enter the number in the calculator Enter -25 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is -25 × -25
Step 3: Press the equal to button to find the answer Here, the square of -25 is 625.
Tips and Tricks for the Square of -25: Tips and tricks can make it easier 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 -25
Mistakes are common among students when doing math, especially when calculating 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 steps or swap digits. To avoid this, students should double-check their answers. 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 -25
Problem 1
A field is to be fenced, and each side of the field is 25 meters. Calculate the total length of the fencing required.
The field is square, with each side measuring 25 meters.
The perimeter of a square = 4 × side length.
Therefore, the perimeter = 4 × 25 = 100 meters.
Explanation
The perimeter is the total length around the square field. With each side being 25 meters, the perimeter is 4 × 25 = 100 meters.
Problem 2
A square garden is to be paved, and each side of the garden is 25 feet. If paving costs 5 dollars per square foot, how much will it cost to pave the entire garden?
The length of the garden = 25 feet
The cost to pave 1 square foot = 5 dollars.
To find the total cost, calculate the area of the garden,
Area of the garden = side²
Here, side = 25
Therefore, area = 25 × 25 = 625.
The total cost = 625 × 5 = 3125 dollars.
Explanation
To find the cost to pave the garden, multiply the area by the cost per square foot. So, the total cost is 3125 dollars.
Problem 3
Find the area of a square where the diagonal is given as 25√2 meters.
The area of the square = 625 m²
Explanation
The diagonal of a square is given by the formula: diagonal = side × √2.
So, side = diagonal / √2
Here, diagonal = 25√2,
so the side = 25 meters.
Therefore, the area = side² = 25 × 25 = 625 m².
Problem 4
The area of a square is 625 cm². Find the length of one side of the square.
The length of one side of the square is 25 cm.
Explanation
The area of the square = side²
Here, the area is 625 cm²
The length of the side is √625 = 25 cm.
Problem 5
Find the square of 24.
The square of 24 is 576.
Explanation
The square of 24 is found by multiplying 24 by 24. So, the square = 24 × 24 = 576.
FAQs on Square of -25
1.What is the square of -25?
2.What is the square root of 25?
3.Is 25 a perfect square?
4.What are the first few multiples of 25?
5.What is the square of 26?
Important Glossaries for Square of -25
- Square: The product of a number multiplied by itself.
- Perfect Square: A number that is the square of an integer.
- Exponential Form: A way of expressing numbers as a base raised to a power.
- Multiplication Method: Calculating squares by multiplying a number by itself.
- Square Root: 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.
