Last updated on May 26th, 2025
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and more. In this topic, we will discuss the square of 1012.
The square of a number is the product of the number by itself. The square of 1012 is 1012 × 1012. The square of a number often ends in 0, 1, 4, 5, 6, or 9. In math, we write it as 1012², where 1012 is the base and 2 is the exponent. The square of a positive or negative number is always positive.
For instance, 5² = 25; -5² = 25.
The square of 1012 is 1012 × 1012 = 1,024,144.
Square of 1012 in exponential form: 1012²
Square of 1012 in arithmetic form: 1012 × 1012
The square of a number is found by multiplying the number by itself. Let’s learn how to find the square of a number using common methods:
In this method, we multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of 1012.
Step 1: Identify the number. Here, the number is 1012
Step 2: Multiplying the number by itself, we get, 1012 × 1012 = 1,024,144.
The square of 1012 is 1,024,144.
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 1012
So: 1012² = 1012 × 1012 = 1,024,144
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 1012.
Step 1: Enter the number in the calculator Enter 1012 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1012 × 1012
Step 3: Press the equal button to find the answer Here, the square of 1012 is 1,024,144.
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 when doing math, especially when it involves finding the square of a number. Let’s learn some common mistakes to master squaring a number.
Find the length of the square, where the area of the square is 1,024,144 cm².
The area of a square = a²
So, the area of a square = 1,024,144 cm²
So, the length = √1,024,144 = 1012.
The length of each side = 1012 cm
The length of a square is 1012 cm. Because the area is 1,024,144 cm², the length is √1,024,144 = 1012.
Alice is planning to cover her square garden with tiles, each side measuring 1012 feet. The cost to tile a square foot is 5 dollars. How much will it cost to tile the entire garden?
The length of the garden = 1012 feet
The cost to tile 1 square foot of the garden = 5 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 = 1012
Therefore, the area of the garden = 1012²
= 1012 × 1012
= 1,024,144.
The cost to tile the garden = 1,024,144 × 5 = 5,120,720.
The total cost = 5,120,720 dollars
To find the cost to tile the garden, multiply the area of the garden by the cost to tile per foot. The total cost is 5,120,720 dollars.
Find the area of a circle whose radius is 1012 meters.
The area of the circle = 3,215,778.56 m²
The area of a circle = πr²
Here, r = 1012
Therefore, the area of the circle = π × 1012²
= 3.14 × 1012 × 1012
= 3,215,778.56 m².
The area of the square is 1,024,144 cm². Find the perimeter of the square.
The perimeter of the square is 4,048 cm
The area of the square = a²
Here, the area is 1,024,144 cm²
The length of the side is √1,024,144 = 1012
Perimeter of the square = 4a
Here, a = 1012
Therefore, the perimeter = 4 × 1012 = 4,048.
Find the square of 1013.
The square of 1013 is 1,026,169
The square of 1013 is found by multiplying 1013 by 1013. So, the square = 1013 × 1013 = 1,026,169
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.