114 LearnersLast updated on May 28th, 2025
Square of 1235
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 1235.
What is the Square of 1235
The square of a number is the product of the number itself.
The square of 1235 is 1235 × 1235.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 1235², where 1235 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 1235 is 1235 × 1235 = 1,525,225.
Square of 1235 in exponential form: 1235²
Square of 1235 in arithmetic form: 1235 × 1235
How to Calculate the Value of Square of 1235
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 (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 1235.
Step 1: Identify the number. Here, the number is 1235.
Step 2: Multiplying the number by itself, we get, 1235 × 1235 = 1,525,225.
The square of 1235 is 1,525,225.
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 1235
So: 1235² = 1235 × 1235 = 1,525,225
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 1235.
Step 1: Enter the number in the calculator. Enter 1235 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 1235 × 1235
Step 3: Press the equal to button to find the answer. Here, the square of 1235 is 1,525,225.
Tips and Tricks for the Square of 1235
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 1235
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 1235
Problem 1
Find the length of the square, where the area of the square is 1,525,225 cm².
The area of a square = a²
So, the area of a square = 1,525,225 cm²
So, the length = √1,525,225 = 1235.
The length of each side = 1235 cm
Explanation
The length of a square is 1235 cm.
Because the area is 1,525,225 cm² the length is √1,525,225 = 1235.
Problem 2
Anna is planning to tile her square garden of length 1235 feet. The cost to tile a square foot is 2 dollars. Then how much will it cost to tile the full garden?
The length of the garden = 1235 feet
The cost to tile 1 square foot of the garden = 2 dollars.
To find the total cost to tile, we find the area of the garden.
Area of the garden = area of the square = a²
Here a = 1235
Therefore, the area of the garden = 1235² = 1235 × 1235 = 1,525,225.
The cost to tile the garden = 1,525,225 × 2 = 3,050,450.
The total cost = 3,050,450 dollars
Explanation
To find the cost to tile the garden, we multiply the area of the garden by the cost to tile per foot.
So, the total cost is 3,050,450 dollars.
Problem 3
Find the area of a circle whose radius is 1235 meters.
The area of the circle = 4,789,392.25 m²
Explanation
The area of a circle = πr²
Here, r = 1235
Therefore, the area of the circle = π × 1235² = 3.14 × 1235 × 1235 = 4,789,392.25 m².
Problem 4
The area of the square is 1,525,225 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 1,525,225 cm²
The length of the side is √1,525,225 = 1235
Perimeter of the square = 4a
Here, a = 1235
Therefore, the perimeter = 4 × 1235 = 4940.
Problem 5
Find the square of 38.
The square of 38 is 1444
Explanation
The square of 38 is multiplying 38 by 38.
So, the square = 38 × 38 = 1444
FAQs on Square of 1235
1.What is the square of 1235?
2.What is the square root of 1235?
3.Is 1235 a prime number?
4.What are the first few multiples of 1235?
5.What is the square of 36?
6.How does learning Algebra help students in Saudi Arabia make better decisions in daily life?
7.How can cultural or local activities in Saudi Arabia support learning Algebra topics such as Square of 1235?
8.How do technology and digital tools in Saudi Arabia support learning Algebra and Square of 1235?
9.Does learning Algebra support future career opportunities for students in Saudi Arabia?
Important Glossaries for Square of 1235
- Prime number: A number that is only divisible by 1 and itself is a prime number. For example, 2, 3, 5, 7, etc.
- Exponential form: A way of writing numbers using a base and an exponent, such as 9², where 9 is the base and 2 is the exponent.
- Square root: The number that, when multiplied by itself, gives the original number. For example, the square root of 144 is 12.
- Perfect square: A number that is the square of an integer. For example, 144 is a perfect square of 12.
- Multiplication method: A straightforward method to obtain the square of a number by multiplying the number by itself.
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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.
