132 LearnersLast updated on June 3rd, 2025
Square of 40
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 40.
What is the Square of 40
The square of a number is the product of the number itself. The square of 40 is 40 × 40. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 40², where 40 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 40 is 40 × 40 = 1600.
Square of 40 in exponential form: 40²
Square of 40 in arithmetic form: 40 × 40
How to Calculate the Value of Square of 40
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 40.
Step 1: Identify the number. Here, the number is 40.
Step 2: Multiplying the number by itself, we get, 40 × 40 = 1600.
The square of 40 is 1600.
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 40 So: 40² = 40 × 40 = 1600
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 40.
Step 1: Enter the number in the calculator Enter 40 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×) That is 40 × 40
Step 3: Press the equal to button to find the answer Here, the square of 40 is 1600.
Tips and Tricks for the Square of 40
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 40
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.
Mistake 2
Errors when using the formula.
The formula to find the square of the number is a². Instead, students may use 40² with (4 +0)² or (30 + 10)². So students should check and use the correct formula and double-check the answers to avoid all the 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 it, students should understand the concept 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 the parentheses when finding the square of a number can lead to errors. So, students should understand parentheses and do the operations in the correct order to avoid error.
Mistake 5
Not practicing regularly.
Regular practice is required to master the square of a number. So students should do regular practice to avoid errors.
Solved Examples on Square of 40
Problem 1
Find the length of the square where the area of the square is 1600 cm².
The area of a square = a²
So, the area of a square = 1600 cm²
So, the length = √1600 = 40.
The length of each side = 40 cm
Explanation
The length of a square is 40 cm.
Because the area is 1600 cm², the length is √1600 = 40.
Problem 2
Sarah is planning to tile her square kitchen floor of length 40 feet. The cost to tile a square foot is 5 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 40 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 = 40 Therefore, the area of the floor = 40² = 40 × 40 = 1600. The cost to tile the floor = 1600 × 5 = 8000. The total cost = 8000 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 8000 dollars.
Problem 3
Find the area of a circle whose radius is 40 meters.
The area of the circle = 5024 m²
Explanation
The area of a circle = πr²
Here, r = 40
Therefore, the area of the circle = π × 40²
= 3.14 × 40 × 40
= 5024 m².
Problem 4
The area of a square is 100 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 100 cm²
The length of the side is √100 = 10
Perimeter of the square = 4a
Here, a = 10
Therefore, the perimeter = 4 × 10 = 40.
Problem 5
Find the square of 41.
The square of 41 is 1681
Explanation
The square of 41 is multiplying 41 by 41.
So, the square = 41 × 41 = 1681
FAQs on Square of 40
1.What is the square of 40?
2.What is the square root of 40?
3.Is 40 a prime number?
4.What are the first few multiples of 40?
5.What is the square of 39?
6.How does learning Algebra help students in Australia make better decisions in daily life?
7.How can cultural or local activities in Australia support learning Algebra topics such as Square of 40?
8.How do technology and digital tools in Australia support learning Algebra and Square of 40?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Square 40.
- Even number: A number that is divisible by 2. Examples include 2, 4, 6, 8, etc.
- Perfect square: A number that is the square of an integer. For example, 1, 4, 9, 16, 25, etc.
- Circumference: The distance around the edge of a circle.
- Exponent: The number that represents the power to which the base number is raised.
- Radius: The distance from the center of a circle to any point on its circumference.
Explore More algebra
![Important Math Links Icon]()
Previous to Square of 40
About BrightChamps in Australia
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.
