107 LearnersLast updated on May 26th, 2025
Square of 650
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 650.
What is the Square of 650
The square of a number is the product of the number with itself. The square of 650 is 650 × 650. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 650², where 650 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 650 is 650 × 650 = 422,500.
Square of 650 in exponential form: 650²
Square of 650 in arithmetic form: 650 × 650
How to Calculate the Value of Square of 650
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 650.
Step 1: Identify the number. Here, the number is 650.
Step 2: Multiplying the number by itself, we get, 650 × 650 = 422,500.
The square of 650 is 422,500.
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 650 So: 650² = 650 × 650 = 422,500
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 650.
Step 1: Enter the number in the calculator Enter 650 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 650 × 650
Step 3: Press the equal button to find the answer Here, the square of 650 is 422,500.
Tips and Tricks for the Square of 650
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 650
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 650
Problem 1
Find the length of the square, where the area of the square is 422,500 cm².
The area of a square = a²
So, the area of a square = 422,500 cm²
So, the length = √422,500 = 650.
The length of each side = 650 cm
Explanation
The length of a square is 650 cm.
Because the area is 422,500 cm², the length is √422,500 = 650.
Problem 2
Samantha is planning to tile her square floor with a length of 650 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 650 feet
The cost to tile 1 square foot of floor = 5 dollars.
To find the total cost to tile, we find the area of the floor,
Area of the floor = area of the square = a²
Here a = 650
Therefore, the area of the floor = 650² = 650 × 650 = 422,500.
The cost to tile the floor = 422,500 × 5 = 2,112,500.
The total cost = 2,112,500 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 2,112,500 dollars.
Problem 3
Find the area of a circle whose radius is 650 meters.
The area of the circle = 1,327,857 m²
Explanation
The area of a circle = πr²
Here, r = 650
Therefore, the area of the circle = π × 650² = 3.14 × 650 × 650 = 1,327,857 m².
Problem 4
The area of the square is 422,500 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 422,500 cm²
The length of the side is √422,500 = 650
Perimeter of the square = 4a
Here, a = 650
Therefore, the perimeter = 4 × 650 = 2,600.
Problem 5
Find the square of 651.
The square of 651 is 423,801
Explanation
The square of 651 is multiplying 651 by 651.
So, the square = 651 × 651 = 423,801
FAQs on Square of 650
1.What is the square of 650?
2.What is the square root of 650?
3.Is 650 a perfect square?
4.What is the square of 649?
5.What is the square of 651?
Important Glossaries for Square 650.
- Square: The product of a number multiplied by itself.
- Perfect square: A number that is the square of an integer.
- Exponent: The number that indicates how many times a base is used as a factor.
- Square root: A value that, when multiplied by itself, gives the original number.
- Multiplication: The process of combining equal groups to find how many in all.
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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.
