130 LearnersLast updated on May 30th, 2025
Square of 920
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 920.
What is the Square of 920
The square of a number is the product of the number itself.
The square of 920 is 920 × 920.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 920², where 920 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 920 is 920 × 920 = 846400.
Square of 920 in exponential form: 920²
Square of 920 in arithmetic form: 920 × 920
How to Calculate the Value of Square of 920
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 920.
Step 1: Identify the number. Here, the number is 920
Step 2: Multiplying the number by itself, we get, 920 × 920 = 846400.
The square of 920 is 846400.
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 920
So: 920² = 920 × 920 = 846400
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 920.
Step 1: Enter the number in the calculator Enter 920 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 920 × 920
Step 3: Press the equal to button to find the answer
Here, the square of 920 is 846400.
Tips and Tricks for the Square of 920
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 920
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.
Mistake 2
Errors will be using the formula.
The formula to find the square of the number is a². Instead, students may use 920² with (9 + 20)² or (900 + 20)². So students should check and use the correct formula and double-check the answers to avoid all the confusion.
Mistake 3
Confusing with 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 errors.
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 920
Problem 1
Find the length of the square, where the area of the square is 846400 cm².
The area of a square = a² So, the area of a square = 846400 cm² So, the length = √846400 = 920. The length of each side = 920 cm
Explanation
The length of a square is 920 cm.
Because the area is 846400 cm², the length is √846400 = 920.
Problem 2
Anna is planning to paint her square wall of length 920 feet. The cost to paint a foot is 5 dollars. Then how much will it cost to paint the full wall?
The length of the wall = 920 feet The cost to paint 1 square foot of wall = 5 dollars. To find the total cost to paint, we find the area of the wall, Area of the wall = area of the square = a² Here a = 920 Therefore, the area of the wall = 920² = 920 × 920 = 846400. The cost to paint the wall = 846400 × 5 = 4232000. The total cost = 4232000 dollars
Explanation
To find the cost to paint the wall, we multiply the area of the wall by the cost to paint per foot.
So, the total cost is 4232000 dollars.
Problem 3
Find the area of a circle whose radius is 920 meters.
The area of the circle = 2,660,320 m²
Explanation
The area of a circle = πr²
Here, r = 920
Therefore, the area of the circle = π × 920² = 3.14 × 920 × 920 = 2,660,320 m².
Problem 4
The area of the square is 846400 cm². Find the perimeter of the square.
The perimeter of the square is 3680 cm
Explanation
The area of the square = a²
Here, the area is 846400 cm²
The length of the side is √846400 = 920
Perimeter of the square = 4a
Here, a = 920
Therefore, the perimeter = 4 × 920 = 3680 cm.
Problem 5
Find the square of 921.
The square of 921 is 848241
Explanation
The square of 921 is multiplying 921 by 921.
So, the square = 921 × 921 = 848241
FAQs on Square of 920
1.What is the square of 920?
2.What is the square root of 920?
3.Is 920 a perfect square?
4.What are the first few multiples of 920?
5.What is the square of 919?
6.How does learning Algebra help students in United Kingdom make better decisions in daily life?
7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Square of 920?
8.How do technology and digital tools in United Kingdom support learning Algebra and Square of 920?
9.Does learning Algebra support future career opportunities for students in United Kingdom?
Important Glossaries for Square 920.
- Perfect Square: A number that is the square of an integer. For example, 846400 is a perfect square as it is the square of 920.
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 920² where 920 is the base and 2 is the exponent.
- Square Root: The square root is 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 to find the square of a number by multiplying the number by itself.
- Area: The measure of the extent of a two-dimensional figure or shape in a plane. For example, the area of a square with side length 920 is 846400 cm².
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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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