129 LearnersLast updated on May 29th, 2025
Square of 390625
The product of multiplying an integer by itself is the square of a number. Square is used in programming, calculating areas, and more. In this topic, we will discuss the square of 390625.
What is the Square of 390625
The square of a number is the product of the number by itself.
The square of 390625 is 390625 × 390625.
The square of a number always ends in 0, 1, 4, 5, 6, or 9.
We write it in math as 390625², where 390625 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 390625 is 390625 × 390625 = 152587890625.
Square of 390625 in exponential form: 390625²
Square of 390625 in arithmetic form: 390625 × 390625
How to Calculate the Value of Square of 390625
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.
- By Multiplication Method
- Using a Formula
- Using a Calculator
By the Multiplication Method
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 390625.
Step 1: Identify the number. Here, the number is 390625.
Step 2: Multiply the number by itself: 390625 × 390625 = 152587890625.
The square of 390625 is 152587890625.
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: Understand the equation: Square of a number = a² a² = a × a
Step 2: Identify the number and substitute the value into the equation.
Here, ‘a’ is 390625.
So: 390625² = 390625 × 390625 = 152587890625
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 390625.
Step 1: Enter the number in the calculator. Enter 390625 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×): That is 390625 × 390625
Step 3: Press the equal to button to find the answer. Here, the square of 390625 is 152587890625.
Tips and Tricks for the Square of 390625
Tips and tricks help students understand and learn the square of a number more easily. To master the square of a number, these tips and tricks are helpful.
- 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 390625
Mistakes are common among students 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 steps or swap digits. To avoid this, students should double-check their answers. 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 in using the formula:
The formula to find the square of the number is a². Instead, students may use incorrect methods like (3+9+0+6+2+5)² or (300000+90625)². Students should check and use the correct formula and double-check the answers to avoid confusion.
Mistake 3
Confusing square with 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 parentheses when finding the square of a number can lead to errors. 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. Students should practice regularly to avoid errors.
Solved Examples on Square of 390625
Problem 1
Find the length of the side of a square, where the area of the square is 152587890625 cm².
The area of a square = a² So, the area of a square = 152587890625 cm² So, the length = √152587890625 = 390625. The length of each side = 390625 cm
Explanation
The length of a square is 390625 cm because the area is 152587890625 cm²; the length is √152587890625 = 390625.
Problem 2
Anna is planning to carpet her square room with a length of 390625 meters. The cost to carpet per square meter is 5 dollars. How much will it cost to carpet the full room?
The length of the room = 390625 meters The cost to carpet 1 square meter of the room = 5 dollars. To find the total cost to carpet, we find the area of the room. Area of the room = area of the square = a² Here a = 390625. Therefore, the area of the room = 390625² = 152587890625. The cost to carpet the room = 152587890625 × 5 = 762939453125. The total cost = 762939453125 dollars
Explanation
To find the cost to carpet the room, we multiply the area of the room by the cost to carpet per square meter.
So, the total cost is 762939453125 dollars.
Problem 3
Find the area of a circle whose radius is 390625 meters.
The area of the circle = 478828318401.78 m²
Explanation
The area of a circle = πr²
Here, r = 390625.
Therefore, the area of the circle = π × 390625² = 3.14 × 390625 × 390625 = 478828318401.78 m².
Problem 4
The area of a square is 152587890625 cm². Find the perimeter of the square.
The perimeter of the square is 1562500 cm.
Explanation
The area of the square = a²
Here, the area is 152587890625 cm².
The length of the side is √152587890625 = 390625.
Perimeter of the square = 4a
Here, a = 390625.
Therefore, the perimeter = 4 × 390625 = 1562500 cm.
Problem 5
Find the square of 390626.
The square of 390626 is 152587890876.
Explanation
The square of 390626 is found by multiplying 390626 by 390626.
So, the square = 390626 × 390626 = 152587890876.
FAQs on Square of 390625
1.What is the square of 390625?
2.What is the square root of 390625?
3.Is 390625 a perfect square?
4.What are the first few multiples of 390625?
5.What is the square of 390624?
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 390625?
8.How do technology and digital tools in Australia support learning Algebra and Square of 390625?
9.Does learning Algebra support future career opportunities for students in Australia?
Important Glossaries for Square of 390625.
- Perfect square: A number that is the square of an integer. For example, 16 is a perfect square because it is 4².
- Exponential form: Writing a number in the form of a power. For example, 9² where 9 is the base and 2 is the power.
- Square: The result of multiplying a number by itself. For example, the square of 5 is 25.
- Square root: The inverse operation of squaring a number. The square root of a number is a value that gives the original number when squared.
- Multiples: Numbers that can be divided by another number without leaving a remainder. For example, multiples of 5 are 5, 10, 15, 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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