Square of -1

The square of a number is the product of the number by itself. The square of -1 is -1 × -1. The square of a number always results in a positive number, except for the square of 0. We write it in math as (-1)², where -1 is the base and 2 is the exponent. The square of both positive and negative numbers is always positive. For example, 5² = 25; (-5)² = 25.

The square of -1 is -1 × -1 = 1.

Square of -1 in exponential form: (-1)²

Square of -1 in arithmetic form: -1 × -1

The square of a number is found by 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.

1. By Multiplication Method
2. Using a Formula
3. Using a Calculator

In this method, we multiply the number by itself to find the square. The product here is the square of the number. Let’s find the square of -1.

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

Step 2: Multiplying the number by itself, we get, -1 × -1 = 1. The square of -1 is 1.

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 -1. So: (-1)² = -1 × -1 = 1

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 -1.

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

Step 2: Multiply the number by itself using the multiplication button (×) That is -1 × -1

Step 3: Press the equal to button to find the answer Here, the square of -1 is 1.

Tips and Tricks for the Square of -1: 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 any real number is always non-negative.

• 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 square root of a perfect square is always a whole number. For example, √144 = 12.

• The square of -1 is a special case and is used in complex numbers, where i² = -1.

• Imaginary unit: The imaginary unit is denoted as i, where i² = -1.

• Complex number: A complex number is a number that comprises a real and an imaginary part, such as a + bi.

• Square: The square of a number is the product of multiplying the number by itself.

• Square root: The square root is the inverse operation of squaring a number.

• Exponential form: Exponential form is the way of writing a number in the form of a power, such as a² where a is the base.