Square of 688

The square of a number is the product of the number itself. The square of 688 is 688 × 688. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as (688²), where 688 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 688 is 688 × 688 = 473,344.

Square of 688 in exponential form: (688²)

Square of 688 in arithmetic form: 688 × 688

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.

• By Multiplication Method
• Using a Formula
• Using a Calculator

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 688.

Step 1: Identify the number. Here, the number is 688.

Step 2: Multiplying the number by itself, we get, 688 × 688 = 473,344.

The square of 688 is 473,344.

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 688.

So: (688² = 688 × 688 = 473,344\)

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 688.

Step 1: Enter the number in the calculator Enter 688 in the calculator.

Step 2: Multiply the number by itself using the multiplication button(×) That is 688 × 688

Step 3: Press the equal to button to find the answer Here, the square of 688 is 473,344.

Tips and Tricks for the Square of 688

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, (sqrt{1.44} = 1.2)
   
• The square root of a perfect square is always a whole number. For example, (sqrt{144} = 12).

• Prime Number: A number that is only divisible by 1 and itself. For example, 2, 3, 5, 7, etc.
  
   
• Exponential Form: A way of writing numbers using a base and an exponent. For example, (9²) where 9 is the base and 2 is the exponent.
  
   
• Square Root: The square root is the inverse operation of the square. The square root of a number is a number whose square is the number itself.
  
   
• Even Number: A number divisible by 2 without a remainder. For example, 2, 4, 6, etc.
  
   
• Area: The measure of the extent of a two-dimensional figure or shape in a plane. For example, the area of a square is (a²) where a is the length of the side.