Last updated on May 27th, 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 this topic, we will discuss the square of 4000.
The square of a number is the product of the number with itself.
The square of 4000 is 4000 × 4000.
We write it in math as (40002), where 4000 is the base and 2 is the exponent.
The square of a positive and a negative number is always positive. For example, (52 = 25); ((-5)2 = 25).
The square of 4000 is 4000 × 4000 = 16,000,000.
Square of 4000 in exponential form: (40002)
Square of 4000 in arithmetic form: 4000 × 4000
The square of a number is 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:
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 4000.
Step 1: Identify the number. Here, the number is 4000.
Step 2: Multiplying the number by itself, we get, 4000 × 4000 = 16,000,000.
The square of 4000 is 16,000,000.
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 4000. So: (40002 = 4000 × 4000 = 16,000,000)
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 4000.
Step 1: Enter the number in the calculator Enter 4000 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 4000 × 4000.
Step 3: Press the equal to button to find the answer. Here, the square of 4000 is 16,000,000.
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 comes to finding the square of a number. Let’s learn some common mistakes to master the squaring of a number.
Find the length of a square where the area of the square is 16,000,000 cm².
The area of a square = (a2)
So, the area of a square = 16,000,000 cm²
Therefore, the length = ( √ 16,000,000 = 4000).
The length of each side = 4000 cm
The length of the square is 4000 cm.
Because the area is 16,000,000 cm², the length is ( √ 16,000,000 = 4000).
Sarah is planning to tile her square garden of length 4000 feet. The cost to tile a square foot is 10 dollars. How much will it cost to tile the entire garden?
The length of the garden = 4000 feet
The cost to tile 1 square foot of garden = 10 dollars.
To find the total cost to tile, we calculate the area of the garden.
Area of the garden = area of the square = (a2)
Here (a = 4000).
Therefore, the area of the garden = (40002 = 4000 × 4000 = 16,000,000).
The cost to tile the garden = 16,000,000 × 10 = 160,000,000.
The total cost = 160,000,000 dollars
To find the cost to tile the garden, we multiply the area of the garden by the cost to tile per square foot.
The total cost is 160,000,000 dollars.
Find the area of a circle whose radius is 4000 meters.
The area of the circle = 50,265,482.46 m²
The area of a circle = (pi r2)
Here, (r = 4000).
Therefore, the area of the circle = (pi × 40002) = (3.14 × 4000 × 4000 = 50,265,482.46) m².
The area of a square is 16,000,000 cm². Find the perimeter of the square.
The perimeter of the square is 16,000 cm
The area of the square = (a2)
Here, the area is 16,000,000 cm²
The length of the side is ( √ 16,000,000 = 4000)
Perimeter of the square = 4a
Here, (a = 4000)
Therefore, the perimeter = 4 × 4000 = 16,000.
Find the square of 4010.
The square of 4010 is 16,080,100
The square of 4010 is multiplying 4010 by 4010.
So, the square = 4010 × 4010 = 16,080,100
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.