126 LearnersLast updated on May 26th, 2025
Square of 845
The product of multiplying an integer by itself is the square of a number. Squares are used in programming, calculating areas, and other applications. In this topic, we will discuss the square of 845.
What is the Square of 845
The square of a number is the product of the number itself. The square of 845 is 845 × 845. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 845², where 845 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 845 is 845 × 845 = 714,025.
Square of 845 in exponential form: 845²
Square of 845 in arithmetic form: 845 × 845
How to Calculate the Value of Square of 845
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.
- 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 845.
Step 1: Identify the number. Here, the number is 845.
Step 2: Multiplying the number by itself, we get, 845 × 845 = 714,025.
The square of 845 is 714,025.
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 845. So: 845² = 845 × 845 = 714,025
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 845.
Step 1: Enter the number in the calculator. Enter 845 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 845 × 845.
Step 3: Press the equal button to find the answer. Here, the square of 845 is 714,025.
Tips and Tricks for the Square of 845
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 845
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 steps or swap 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.
Mistake 2
Errors when using the formula.
The formula to find the square of the number is a². Instead, students may use 845² with (8+4+5)² or (800+45)². So students should check and use the correct formula and double-check the answers to avoid all confusion.
Mistake 3
Confusing square and square root.
Not understanding the concept of square and square root can lead to confusion in students. To avoid it, students should understand 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 the 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. So students should do regular practice to avoid errors.
Solved Examples on Square of 845
Problem 1
Find the length of the square, where the area of the square is 714,025 cm².
The area of a square = a²
So, the area of a square = 714,025 cm²
So, the length = √714,025 = 845.
The length of each side = 845 cm
Explanation
The length of a square is 845 cm.
Because the area is 714,025 cm²,
the length is √714,025 = 845.
Problem 2
Alex is planning to tile his square floor of length 845 feet. The cost to tile a foot is 2 dollars. How much will it cost to tile the full floor?
The length of the floor = 845 feet
The cost to tile 1 square foot of floor = 2 dollars.
To find the total cost to tile, we find the area of the floor,
Area of the floor = area of the square = a²
Here a = 845
Therefore, the area of the floor = 845² = 845 × 845 = 714,025.
The cost to tile the floor = 714,025 × 2 = 1,428,050.
The total cost = 1,428,050 dollars
Explanation
To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per foot. So, the total cost is 1,428,050 dollars.
Problem 3
Find the area of a circle whose radius is 845 meters.
The area of the circle = 2,241,353.2 m²
Explanation
The area of a circle = πr²
Here, r = 845
Therefore, the area of the circle = π × 845² = 3.14 × 845 × 845 = 2,241,353.2 m².
Problem 4
The area of the square is 714,025 cm². Find the perimeter of the square.
The perimeter of the square is 3,380 cm.
Explanation
The area of the square = a²
Here, the area is 714,025 cm²
The length of the side is √714,025 = 845
Perimeter of the square = 4a
Here, a = 845
Therefore, the perimeter = 4 × 845 = 3,380 cm.
Problem 5
Find the square of 846.
The square of 846 is 715,716.
Explanation
The square of 846 is multiplying 846 by 846.
So, the square = 846 × 846 = 715,716.
FAQs on Square of 845
1.What is the square of 845?
2.What is the square root of 845?
3.Is 845 a prime number?
4.What are the first few multiples of 845?
5.What is the square of 846?
Important Glossaries for Square 845.
- Prime number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, 11, etc.
- Exponential form: A way of writing numbers using a base and an exponent, such as 9².
- Square root: The inverse operation of squaring, finding a number whose square is the given number.
- Perfect square: A number that is the square of an integer, such as 1, 4, 9, 16, etc.
- Multiplication method: A technique of finding the square by directly multiplying a number by itself.
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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.
