133 LearnersLast updated on May 27th, 2025
Square of 789
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 789.
What is the Square of 789
The square of a number is the product of the number itself.
The square of 789 is 789 × 789.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 789², where 789 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 789 is 789 × 789 = 622,521.
Square of 789 in exponential form: 789²
Square of 789 in arithmetic form: 789 × 789
How to Calculate the Value of Square of 789
The square of a number is found 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 (a2)
- 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 789.
Step 1: Identify the number. Here, the number is 789
Step 2: Multiplying the number by itself, we get, 789 × 789 = 622,521.
The square of 789 is 622,521.
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 789 So: 789² = 789 × 789 = 622,521
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 789.
Step 1: Enter the number in the calculator Enter 789 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 789 × 789
Step 3: Press the equal to button to find the answer Here, the square of 789 is 622,521.
Tips and Tricks for the Square of 789
Tips and tricks make it easy to understand and learn the square of a number. To master the square of a number, these tips and tricks will help.
- 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 789
Mistakes are common when doing math, especially when finding the square of a number. Let’s learn some common mistakes to master squaring a number.
Mistake 1
Calculation errors:
Calculation errors mostly happen when steps are skipped or digits are swapped. To avoid this, double-check the answer. Double-check by finding the square root of the solution found.
For example, the square of 25 is 625, and the square root of 625 is ±25.
Mistake 2
Errors when using the formula.
The formula to find the square of the number is a². Students may mistakenly use 789² with (7 + 8 + 9)² or (700 + 80 + 9)². Check and use the correct formula and double-check the answers to avoid confusion.
Mistake 3
Confusing square and square root.
Not understanding the concept of square and square root can lead to confusion. Understand that square and square root are inverse operations. The square of 5 is 25, and the square root of 25 is ±5.
Mistake 4
Errors in parentheses.
Ignoring parentheses when finding the square of a number can lead to errors. Understand parentheses and perform operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. Practice regularly to avoid errors.
Solved Examples on Square of 789
Problem 1
A square park has an area of 622,521 square meters. What is the length of one side of the park?
The area of a square = a²
So, the area of the square = 622,521 m²
So, the length = √622,521 = 789.
The length of each side = 789 meters
Explanation
The length of the square park is 789 meters.
Because the area is 622,521 m², the length is √622,521 = 789.
Problem 2
Emily is planning to lay tiles on her square kitchen floor of length 789 feet. The cost to lay a tile per square foot is 5 dollars. How much will it cost to tile the entire floor?
The length of the floor = 789 feet
The cost to lay tiles per square foot = 5 dollars.
To find the total cost to tile, find the area of the floor, Area of the floor = area of the square = a²
Here a = 789
Therefore, the area of the floor = 789² = 789 × 789 = 622,521.
The cost to tile the floor = 622,521 × 5 = 3,112,605.
The total cost = 3,112,605 dollars
Explanation
To find the cost to tile the floor, multiply the area of the floor by the cost to tile per foot.
So, the total cost is 3,112,605 dollars.
Problem 3
Find the area of a circle whose radius is 789 meters.
The area of the circle = 1,956,052.64 m²
Explanation
The area of a circle = πr²
Here, r = 789
Therefore, the area of the circle = π × 789² = 3.14 × 789 × 789 = 1,956,052.64 m².
Problem 4
The area of a square is 622,521 cm². Find the perimeter of the square.
The perimeter of the square is 3,156 cm
Explanation
The area of the square = a²
Here, the area is 622,521 cm²
The length of the side is √622,521 = 789
Perimeter of the square = 4a
Here, a = 789
Therefore, the perimeter = 4 × 789 = 3,156.
Problem 5
Find the square of 790.
The square of 790 is 624,100
Explanation
The square of 790 is multiplying 790 by 790.
So, the square = 790 × 790 = 624,100
FAQs on Square of 789
1.What is the square of 789?
2.What is the square root of 789?
3.Is 789 a prime number?
4.What are the first few multiples of 789?
5.What is the square of 788?
6.How does learning Algebra help students in Qatar make better decisions in daily life?
7.How can cultural or local activities in Qatar support learning Algebra topics such as Square of 789?
8.How do technology and digital tools in Qatar support learning Algebra and Square of 789?
9.Does learning Algebra support future career opportunities for students in Qatar?
Important Glossaries for Square 789.
- Perfect Square: A number that is the square of an integer. For example, 144 is a perfect square as it is 12².
- Square: The result of multiplying a number by itself. For example, the square of 3 is 9.
- Exponent: A number that shows how many times the base is multiplied by itself. For example, in 2³, 3 is the exponent.
- Square Root: The inverse operation of squaring a number. The square root of a number is a number whose square is the original number.
- Multiplication: An arithmetic operation that combines groups of equal size. For example, 5 × 3 = 15.
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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.
