129 LearnersLast updated on May 29th, 2025
Square of 1021
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 1021.
What is the Square of 1021
The square of a number is the product of the number itself.
The square of 1021 is 1021 × 1021.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 1021², where 1021 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 1021 is 1021 × 1021 = 1,042,441.
Square of 1021 in exponential form: 1021²
Square of 1021 in arithmetic form: 1021 × 1021
How to Calculate the Value of Square of 1021
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 (a2)
- 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 1021.
Step 1: Identify the number. Here, the number is 1021.
Step 2: Multiplying the number by itself, we get, 1021 × 1021 = 1,042,441.
The square of 1021 is 1,042,441.
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 1021
So: 1021² = 1021 × 1021 = 1,042,441
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 1021.
Step 1: Enter the number in the calculator. Enter 1021 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 1021 × 1021
Step 3: Press the equal to button to find the answer. Here, the square of 1021 is 1,042,441.
Tips and Tricks for the Square of 1021
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 1021
Mistakes are common among kids 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 the steps or swap 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 1021² with (10 + 21)² or (1000 + 21)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 1021
Problem 1
Find the length of the square, where the area of the square is 1,042,441 cm².
The area of a square = a²
So, the area of a square = 1,042,441 cm²
So, the length = √1,042,441 = 1021.
The length of each side = 1021 cm
Explanation
The length of a square is 1021 cm.
Because the area is 1,042,441 cm², the length is √1,042,441 = 1021.
Problem 2
Lisa is planning to paint her square room of length 1021 feet. The cost to paint a foot is 3 dollars. Then how much will it cost to paint the full room?
The length of the room = 1021 feet
The cost to paint 1 square foot of the room = 3 dollars.
To find the total cost to paint, we find the area of the room.
Area of the room = area of the square = a²
Here a = 1021
Therefore, the area of the room = 1021² = 1021 × 1021 = 1,042,441.
The cost to paint the room = 1,042,441 × 3 = 3,127,323.
The total cost = 3,127,323 dollars
Explanation
To find the cost to paint the room, we multiply the area of the room by the cost to paint per foot.
So, the total cost is 3,127,323 dollars.
Problem 3
Find the area of a circle whose radius is 1021 meters.
The area of the circle = 3,275,875.06 m²
Explanation
The area of a circle = πr²
Here, r = 1021
Therefore, the area of the circle = π × 1021² = 3.14 × 1021 × 1021 = 3,275,875.06 m².
Problem 4
The area of the square is 1,042,441 cm². Find the perimeter of the square.
The perimeter of the square is 4084 cm.
Explanation
The area of the square = a²
Here, the area is 1,042,441 cm²
The length of the side is √1,042,441 = 1021
Perimeter of the square = 4a
Here, a = 1021
Therefore, the perimeter = 4 × 1021 = 4084.
Problem 5
Find the square of 1030.
The square of 1030 is 1,060,900.
Explanation
The square of 1030 is multiplying 1030 by 1030.
So, the square = 1030 × 1030 = 1,060,900.
FAQs on Square of 1021
1.What is the square of 1021?
2.What is the square root of 1021?
3.Is 1021 a prime number?
4.What are the first few multiples of 1021?
5.What is the square of 1020?
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 1021?
8.How do technology and digital tools in Australia support learning Algebra and Square of 1021?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Square 1021.
- Prime number: A number that is only divisible by 1 and itself is a prime number. For example, 7, 11, 13, 17, 19, etc.
- Exponential form: Exponential form is the way of writing a number in the form of a power. For example, 10² where 10 is the base and 2 is the power.
- 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.
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Odd number: A number that is not divisible by 2. For example, 1, 3, 5, 7, 9, etc.
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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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