Square of -81

The square of a number is the product of the number itself. The square of -81 is (-81) × (-81). The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as (-81)², where -81 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 -81 is (-81) × (-81) = 6561.

Square of -81 in exponential form: (-81)²

Square of -81 in arithmetic form: (-81) × (-81)

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.

1. By Multiplication Method
2. Using a Formula
3. 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 -81.

Step 1: Identify the number. Here, the number is -81.

Step 2: Multiplying the number by itself, we get, (-81) × (-81) = 6561.

The square of -81 is 6561.

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 -81.

So: (-81)² = (-81) × (-81) = 6561.

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 -81.

Step 1: Enter the number in the calculator Enter -81 in the calculator.

Step 2: Multiply the number by itself using the multiplication button(×) That is (-81) × (-81)

Step 3: Press the equal to button to find the answer Here, the square of -81 is 6561.

Tips and Tricks for the Square of -81: 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.

• Imaginary unit: The imaginary unit 'i' is defined as the square root of -1. It is used to express complex numbers.

• Perfect square: A perfect square is a number that is the square of an integer. For example, 64 is a perfect square because it is 8².

• Exponent: An exponent refers to the number of times a number (the base) is multiplied by itself. In the expression a², 2 is the exponent.

• Multiplication: Multiplication is a mathematical operation used to calculate the total of one number multiplied by another.

• Square root: The square root is the inverse operation of squaring a number. It is a number that, when multiplied by itself, gives the original number.