Last updated on May 26th, 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 1007.
The square of a number is the product of the number itself. The square of 1007 is 1007 × 1007. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 1007², where 1007 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 1007 is 1007 × 1007 = 1,014,049.
Square of 1007 in exponential form: 1007²
Square of 1007 in arithmetic form: 1007 × 1007
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 1007
Step 1: Identify the number. Here, the number is 1007
Step 2: Multiplying the number by itself, we get, 1007 × 1007 = 1,014,049.
The square of 1007 is 1,014,049.
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 1007
So: 1007² = 1007 × 1007 = 1,014,049
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 1007.
Step 1: Enter the number in the calculator Enter 1007 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 1007 × 1007
Step 3: Press the equal to button to find the answer Here, the square of 1007 is 1,014,049.
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 it is 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 1,014,049 cm².
The area of a square = a²
So, the area of a square = 1,014,049 cm²
So, the length = √1,014,049 = 1007.
The length of each side = 1007 cm
The length of a square is 1007 cm. Because the area is 1,014,049 cm², the length is √1,014,049 = 1007.
Sarah is planning to tile her square courtyard of length 1007 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full courtyard?
The length of the courtyard = 1007 feet
The cost to tile 1 square foot of courtyard = 5 dollars.
To find the total cost to tile, we find the area of the courtyard,
Area of the courtyard = area of the square = a²
Here a = 1007
Therefore, the area of the courtyard = 1007²
= 1007 × 1007
= 1,014,049.
The cost to tile the courtyard = 1,014,049 × 5 = 5,070,245.
The total cost = 5,070,245 dollars
To find the cost to tile the courtyard, we multiply the area of the courtyard by the cost to tile per foot. So, the total cost is 5,070,245 dollars.
Find the area of a circle whose radius is 1007 meters.
The area of the circle = 3,183,947.66 m²
The area of a circle = πr²
Here, r = 1007
Therefore, the area of the circle = π × 1007²
= 3.14 × 1007 × 1007
= 3,183,947.66 m².
The area of the square is 1,014,049 cm². Find the perimeter of the square.
The perimeter of the square is 4028 cm.
The area of the square = a²
Here, the area is 1,014,049 cm²
The length of the side is √1,014,049 = 1007
Perimeter of the square = 4a
Here, a = 1007
Therefore, the perimeter = 4 × 1007 = 4028.
Find the square of 1008.
The square of 1008 is 1,016,064.
The square of 1008 is multiplying 1008 by 1008. So, the square = 1008 × 1008 = 1,016,064.
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.