127 LearnersLast updated on May 30th, 2025
Square of 901
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 901.
What is the Square of 901
The square of a number is the product of multiplying the number by itself.
The square of 901 is 901 × 901.
The square of a number can end in 0, 1, 4, 5, 6, or 9.
We write it in math as 901², where 901 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 901 is 901 × 901 = 811,801.
Square of 901 in exponential form: 901²
Square of 901 in arithmetic form: 901 × 901
How to Calculate the Value of Square of 901
The square of a number is found by multiplying the number by itself. 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 901.
Step 1: Identify the number. Here, the number is 901.
Step 2: Multiply the number by itself, we get, 901 × 901 = 811,801.
The square of 901 is 811,801.
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 901
So: 901² = 901 × 901 = 811,801
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 901.
Step 1: Enter the number into the calculator Enter 901 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 901 × 901
Step 3: Press the equal button to find the answer Here, the square of 901 is 811,801.
Tips and Tricks for the Square of 901
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 901
Mistakes are common among students when doing math, especially when it is about 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 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 901² with (9+0+1)² or (900+1)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 perform 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 practice regularly to avoid errors.
Solved Examples on Square of 901
Problem 1
Find the length of the square, where the area of the square is 811,801 cm².
The area of a square = a² So, the area of a square = 811,801 cm² The length = √811,801 = 901. The length of each side = 901 cm
Explanation
The length of a square is 901 cm because the area is 811,801 cm², so the length is √811,801 = 901.
Problem 2
Alice wants to tile her square garden of length 901 feet. The cost to tile one foot is 4 dollars. How much will it cost to tile the entire garden?
The length of the garden = 901 feet The cost to tile 1 square foot of garden = 4 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 = 901 Therefore, the area of the garden = 901² = 901 × 901 = 811,801. The cost to tile the garden = 811,801 × 4 = 3,247,204. The total cost = 3,247,204 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 3,247,204 dollars.
Problem 3
Find the area of a circle whose radius is 901 meters.
The area of the circle = 2,550,946.14 m²
Explanation
The area of a circle = πr²
Here, r = 901
Therefore, the area of the circle = π × 901² = 3.14 × 901 × 901 = 2,550,946.14 m².
Problem 4
The area of the square is 811,801 cm². Find the perimeter of the square.
The perimeter of the square is
Explanation
The area of the square = a²
Here, the area is 811,801 cm²
The length of the side is √811,801 = 901
Perimeter of the square = 4a
Here, a = 901
Therefore, the perimeter = 4 × 901 = 3,604.
Problem 5
Find the square of 902.
The square of 902 is 813,604
Explanation
The square of 902 is multiplying 902 by 902.
So, the square = 902 × 902 = 813,604
FAQs on Square of 901
1.What is the square of 901?
2.What is the square root of 901?
3.Is 901 a prime number?
4.What are the first few multiples of 901?
5.What is the square of 900?
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 901?
8.How do technology and digital tools in Australia support learning Algebra and Square of 901?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Square of 901
- Perfect Square: A perfect square is a number that is the square of an integer. For example, 9 is a perfect square because it is 3².
- Square Root: The square root of a number is a value that, when multiplied by itself, gives the original number.
- Exponential Form: Exponential form is a way of expressing a number as a base raised to a power. For example, 901² where 901 is the base and 2 is the power.
- Prime Number: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
- Multiplication Method: A method to calculate the square of a number by multiplying the number by itself.
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Jaskaran Singh Saluja
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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.
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