112 LearnersLast updated on May 26th, 2025
Square of 424
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 424.
What is the Square of 424
The square of a number is the product of the number itself. The square of 424 is 424 × 424. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 424², where 424 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 424 is 424 × 424 = 179,776.
Square of 424 in exponential form: 424²
Square of 424 in arithmetic form: 424 × 424
How to Calculate the Value of Square of 424
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 424.
Step 1: Identify the number. Here, the number is 424.
Step 2: Multiplying the number by itself, we get, 424 × 424 = 179,776.
The square of 424 is 179,776.
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 424 So: 424² = 424 × 424 = 179,776
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 424.
Step 1: Enter the number in the calculator Enter 424 in the calculator.
Step 2: Multiply the number by itself using the multiplication button(×) That is 424 × 424
Step 3: Press the equal to button to find the answer Here, the square of 424 is 179,776.
Tips and Tricks for the Square of 424: 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 424
Mistakes are common among kids when doing math, especially when it comes to 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 424
Problem 1
Find the side length of a square where the area of the square is 179,776 cm².
The area of a square = a²
So, the area of a square = 179,776 cm²
So, the length = √179,776 = 424.
The length of each side = 424 cm
Explanation
The length of a square is 424 cm.
Because the area is 179,776 cm², the length is √179,776 = 424.
Problem 2
Sarah wants to carpet her square room, which has a side length of 424 feet. The cost to carpet a square foot is 5 dollars. How much will it cost to carpet the entire room?
The length of the room = 424 feet
The cost to carpet 1 square foot of the room = 5 dollars.
To find the total cost to carpet, we find the area of the room,
Area of the room = area of the square = a²
Here a = 424 Therefore, the area of the room = 424² = 424 × 424 = 179,776.
The cost to carpet the room = 179,776 × 5 = 898,880.
The total cost = 898,880 dollars
Explanation
To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per foot. So, the total cost is 898,880 dollars.
Problem 3
Find the area of a circle whose radius is 424 meters.
The area of the circle = 565,486.24 m²
Explanation
The area of a circle = πr²
Here, r = 424
Therefore, the area of the circle = π × 424² = 3.14 × 424 × 424 = 565,486.24 m².
Problem 4
The area of the square is 179,776 cm². Find the perimeter of the square.
The perimeter of the square is 1696 cm.
Explanation
The area of the square = a²
Here, the area is 179,776 cm² The length of the side is √179,776 = 424
Perimeter of the square = 4a
Here, a = 424
Therefore, the perimeter = 4 × 424 = 1696.
Problem 5
Find the square of 425.
The square of 425 is 180,625.
Explanation
The square of 425 is multiplying 425 by 425.
So, the square = 425 × 425 = 180,625.
FAQs on Square of 424
1.What is the square of 424?
2.What is the square root of 424?
3.Is 424 a perfect square?
4.What are the first few multiples of 424?
5.What is the square of 423?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Square of 424?
8.How do technology and digital tools in United States support learning Algebra and Square of 424?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Square 424.
- Perfect square: A number that is the square of an integer. Examples include 4, 9, 16, 25, etc.
- Exponential form: A way of expressing a number in terms of a base and an exponent, such as 9², where 9 is the base and 2 is the exponent.
- Square root: The square root of a number is a value that, when multiplied by itself, gives the original number.
- Multiplication: The process of adding a number to itself a certain number of times, such as 4 × 4 = 16.
- Perimeter: The total distance around the edge of a two-dimensional shape, such as a square.
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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
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