106 LearnersLast updated on May 26th, 2025
Square of 850
The product of multiplying an integer by itself is the square of a number. The square is used in programming, calculating areas, and so on. In this topic, we will discuss the square of 850.
What is the Square of 850
The square of a number is the product of the number and itself. The square of 850 is 850 × 850. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 850², where 850 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 850 is 850 × 850 = 722,500.
Square of 850 in exponential form: 850²
Square of 850 in arithmetic form: 850 × 850
How to Calculate the Value of Square of 850
The square of a number is found by multiplying the number by itself. Here are common methods used to find the square of a number.
- By Multiplication Method
- Using a Formula
- Using a Calculator
By the Multiplication method
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 850.
Step 1: Identify the number. Here, the number is 850.
Step 2: Multiplying the number by itself, we get, 850 × 850 = 722,500.
The square of 850 is 722,500.
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: 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 850. So: 850² = 850 × 850 = 722,500
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 850.
Step 1: Enter the number in the calculator Enter 850 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×) That is 850 × 850
Step 3: Press the equal to button to find the answer Here, the square of 850 is 722,500.
Tips and Tricks for the Square of 850
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.
- 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 850
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.
Mistake 1
Calculation errors:
Calculation errors mostly happen when students skip the steps or swap the digits. To avoid it, students should double-check the answer. 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.
Solved Examples on Square of 850
Problem 1
Find the length of the square, where the area of the square is 722,500 cm².
The area of a square = a²
So, the area of a square = 722,500 cm²
So, the length = √722,500 = 850.
The length of each side = 850 cm
Explanation
The length of a square is 850 cm.
Because the area is 722,500 cm², the length is √722,500 = 850.
Problem 2
John is planning to tile his square room, which has a length of 850 feet. The cost to tile a foot is 5 dollars. How much will it cost to tile the entire room?
The length of the room = 850 feet
The cost to tile 1 square foot of the room = 5 dollars.
To find the total cost to tile, we find the area of the room,
Area of the room = area of the square = a²
Here a = 850
Therefore, the area of the room = 850² = 850 × 850 = 722,500.
The cost to tile the room = 722,500 × 5 = 3,612,500.
The total cost = 3,612,500 dollars
Explanation
To find the cost to tile the room, we multiply the area of the room by the cost to tile per foot. So, the total cost is 3,612,500 dollars.
Problem 3
Find the area of a circle whose radius is 850 meters.
The area of the circle = 2,268,150 m²
Explanation
The area of a circle = πr²
Here, r = 850
Therefore, the area of the circle = π × 850² = 3.14 × 850 × 850 = 2,268,150 m².
Problem 4
The area of the square is 722,500 cm². Find the perimeter of the square.
The perimeter of the square is 3,400 cm.
Explanation
The area of the square = a²
Here, the area is 722,500 cm²
The length of the side is √722,500 = 850
Perimeter of the square = 4a
Here, a = 850
Therefore, the perimeter = 4 × 850 = 3,400.
Problem 5
Find the square of 851.
The square of 851 is 724,201.
Explanation
The square of 851 is multiplying 851 by 851.
So, the square = 851 × 851 = 724,201.
FAQs on Square of 850
1.What is the square of 850?
2.What is the square root of 850?
3.Is 850 a perfect square?
4.What are the first few multiples of 850?
5.What is the square of 849?
6.How does learning Algebra help students in Vietnam make better decisions in daily life?
7.How can cultural or local activities in Vietnam support learning Algebra topics such as Square of 850?
8.How do technology and digital tools in Vietnam support learning Algebra and Square of 850?
9.Does learning Algebra support future career opportunities for students in Vietnam?
Important Glossaries for Square of 850.
- Perfect Square: A perfect square is a number that can be expressed as the product of an integer with itself. For example, 36 is a perfect square because 6 × 6 = 36.
- Exponent: An exponent refers to the number that indicates how many times to multiply the base by itself. For example, in 8², 2 is the exponent.
- Square Root: The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 36 is 6.
- Multiplication Method: A method of finding the square of a number by multiplying the number by itself.
- Calculator: An electronic or mechanical device used for mathematical calculations. It can be used to find squares quickly.
Explore More algebra
Previous to Square of 850
About BrightChamps in Vietnam
Jaskaran Singh Saluja
About the Author
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.
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
