Last updated on May 29th, 2025
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.
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
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.
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.
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
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 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.
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.
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
The length of a square is 1021 cm.
Because the area is 1,042,441 cm², the length is √1,042,441 = 1021.
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
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.
Find the area of a circle whose radius is 1021 meters.
The area of the circle = 3,275,875.06 m²
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.
The area of the square is 1,042,441 cm². Find the perimeter of the square.
The perimeter of the square is 4084 cm.
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.
Find the square of 1030.
The square of 1030 is 1,060,900.
The square of 1030 is multiplying 1030 by 1030.
So, the square = 1030 × 1030 = 1,060,900.
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.
: He loves to play the quiz with kids through algebra to make kids love it.