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 685.
The square of a number is the product of the number itself. The square of 685 is 685 × 685. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as 685², where 685 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 685 is 685 × 685 = 469,225.
Square of 685 in exponential form: 685²
Square of 685 in arithmetic form: 685 × 685
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 685.
Step 1: Identify the number. Here, the number is 685.
Step 2: Multiplying the number by itself, we get, 685 × 685 = 469,225.
The square of 685 is 469,225.
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 685.
So: 685² = 685 × 685 = 469,225
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 685.
Step 1: Enter the number in the calculator Enter 685 in the calculator.
Step 2: Multiply the number by itself using the multiplication button (×). That is 685 × 685
Step 3: Press the equal to button to find the answer Here, the square of 685 is 469,225.
Tips and Tricks for the Square of 685
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 469,225 cm².
The area of a square = a²
So, the area of a square = 469,225 cm²
So, the length = √469,225 = 685.
The length of each side = 685 cm
The length of a square is 685 cm. Because the area is 469,225 cm², the length is √469,225 = 685.
Jerry is planning to tile his square floor of length 685 feet. The cost to tile a foot is 5 dollars. Then how much will it cost to tile the full floor?
The length of the floor = 685 feet
The cost to tile 1 square foot of floor = 5 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 = 685
Therefore, the area of the floor = 685²
= 685 × 685 = 469,225.
The cost to tile the floor = 469,225 × 5 = 2,346,125.
The total cost = 2,346,125 dollars
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 2,346,125 dollars.
Find the area of a circle whose radius is 685 meters.
The area of the circle = 1,474,475.65 m²
The area of a circle = πr²
Here, r = 685
Therefore, the area of the circle = π × 685²
= 3.14 × 685 × 685
= 1,474,475.65 m².
The area of the square is 469,225 cm². Find the perimeter of the square.
The perimeter of the square is 2,740 cm.
The area of the square = a²
Here, the area is 469,225 cm²
The length of the side is √469,225 = 685
Perimeter of the square = 4a
Here, a = 685
Therefore, the perimeter = 4 × 685 = 2,740 cm.
Find the square of 686.
The square of 686 is 470,596.
The square of 686 is multiplying 686 by 686.
So, the square = 686 × 686 = 470,596.
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.