127 LearnersLast updated on May 29th, 2025
Square of 1800
The product of multiplying an integer by itself is the square of a number. The concept of squaring is used in programming, calculating areas, and more. In this topic, we will discuss the square of 1800.
What is the Square of 1800
The square of a number is the product of the number itself.
The square of 1800 is 1800 × 1800. The square of a number can end in 0, 1, 4, 5, 6, or 9.
We write it in math as 1800², where 1800 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 1800 is 1800 × 1800 = 3,240,000.
Square of 1800 in exponential form: 1800²
Square of 1800 in arithmetic form: 1800 × 1800
How to Calculate the Value of Square of 1800
The square of a number is found by multiplying the number by itself. 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 multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 1800.
Step 1: Identify the number. Here, the number is 1800.
Step 2: Multiply the number by itself, we get, 1800 × 1800 = 3,240,000.
The square of 1800 is 3,240,000.
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 1800
So: 1800² = 1800 × 1800 = 3,240,000
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 1800.
Step 1: Enter the number in the calculator. Enter 1800 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 1800 × 1800
Step 3: Press the equal to button to find the answer. Here, the square of 1800 is 3,240,000.
Tips and Tricks for the Square of 1800
Tips and tricks 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 1800
Mistakes are common among students when doing math, especially when 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 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.
Mistake 2
Errors when using the formula.
The formula to find the square of the number is a². Instead, students may use 1800² with (1 + 8 + 0 + 0)² or (1800)². Students should check and use the correct formula and double-check the answers to avoid all confusion.
Mistake 3
Confusing square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid this, students should 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. Students should understand parentheses and do the operations in the correct order to avoid errors.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. Students should practice regularly to avoid errors.
Solved Examples on Square of 1800
Problem 1
Find the length of the square where the area of the square is 3,240,000 cm².
The area of a square = a²
So, the area of a square = 3,240,000 cm²
So, the length = √3,240,000 = 1800.
The length of each side = 1800 cm
Explanation
The length of a square is 1800 cm.
Because the area is 3,240,000 cm², the length is √3,240,000 = 1800.
Problem 2
Lisa is planning to tile her square floor with a side length of 1800 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the entire floor?
The length of the floor = 1800 feet
The cost to tile 1 square foot of the 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 = 1800
Therefore, the area of the floor = 1800² = 1800 × 1800 = 3,240,000.
The cost to tile the floor = 3,240,000 × 5 = 16,200,000.
The total cost = 16,200,000 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 16,200,000 dollars.
Problem 3
Find the area of a circle whose radius is 1800 meters.
The area of the circle = 10,178,400 m²
Explanation
The area of a circle = πr²
Here, r = 1800
Therefore, the area of the circle = π × 1800² = 3.14 × 1800 × 1800 = 10,178,400 m².
Problem 4
The area of the square is 3,240,000 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 3,240,000 cm²
The length of the side is √3,240,000 = 1800
Perimeter of the square = 4a
Here, a = 1800
Therefore, the perimeter = 4 × 1800 = 7,200 cm.
Problem 5
Find the square of 1801.
The square of 1801 is 3,242,401
Explanation
The square of 1801 is found by multiplying 1801 by 1801. So, the square = 1801 × 1801 = 3,242,401
FAQs on Square of 1800
1.What is the square of 1800?
2.What is the square root of 1800?
3.Is 1800 a perfect square?
4.What are the first few multiples of 1800?
5.What is the square of 1801?
6.How does learning Algebra help students in Singapore make better decisions in daily life?
7.How can cultural or local activities in Singapore support learning Algebra topics such as Square of 1800?
8.How do technology and digital tools in Singapore support learning Algebra and Square of 1800?
9.Does learning Algebra support future career opportunities for students in Singapore?
Important Glossaries for Square 1800.
- Perfect square: A number that is the square of an integer. For example, 36 is a perfect square because it is 6².
- Exponential form: A way of writing numbers using a base and an exponent. For example, 1800² represents 1800 raised to the power of 2.
- Square root: The inverse operation of squaring a number. The square root of a number is a value that, when multiplied by itself, gives the original number.
- Multiplication method: A method of finding the square of a number by multiplying it by itself.
- Area of a square: Calculated as side length squared, represented as a².
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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.
