Square of -4
2026-02-21 20:42 Diff
https://brightchamps.com/en-us/math/algebra/square-of-minus-4

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Last updated on August 5, 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 -4.

What is the Square of -4

The square of a number is the product of the number by itself. The square of -4 is -4 × -4. The square of a number always ends in 0, 1, 4, 5, 6, or 9. We write it in math as (-4)², where -4 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 -4 is -4 × -4 = 16.

Square of -4 in exponential form: (-4)²

Square of -4 in arithmetic form: -4 × -4

How to Calculate the Value of Square of -4

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

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 -4

Step 1: Identify the number. Here, the number is -4

Step 2: Multiplying the number by itself, we get, -4 × -4 = 16.

The square of -4 is 16.

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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 -4 So: (-4)² = -4 × -4 = 16

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 -4.

Step 1: Enter the number in the calculator Enter -4 in the calculator.

Step 2: Multiply the number by itself using the multiplication button (×) That is -4 × -4

Step 3: Press the equal to button to find the answer Here, the square of -4 is 16.

Tips and Tricks for the Square of -4: 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.
  • 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 -4

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.

Problem 1

Find the length of a side of a square, where the area of the square is 16 cm².

Okay, lets begin

The area of a square = a²

So, the area of a square = 16 cm²

So, the length = √16 = 4 or -4.

The length of each side = 4 cm or -4 cm.

Explanation

The length of a square is 4 cm or -4 cm. Because the area is 16 cm², the length is √16 = 4 or -4.

Well explained 👍

Problem 2

Sarah is tiling her square kitchen floor of length 4 meters. The cost to tile a square meter is 5 dollars. Then how much will it cost to tile the full floor?

Okay, lets begin

The length of the floor = 4 meters

The cost to tile 1 square meter 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 = 4

Therefore, the area of the floor = 4² = 16.

The cost to tile the floor = 16 × 5 = 80.

The total cost = 80 dollars.

Explanation

To find the cost to tile the floor, we multiply the area of the floor by the cost to tile per square meter. So, the total cost is 80 dollars.

Well explained 👍

Problem 3

Find the area of a circle whose radius is 4 meters.

Okay, lets begin

The area of the circle = 50.24 m²

Explanation

The area of a circle = πr²

Here, r = 4

Therefore, the area of the circle = π × 4² = 3.14 × 16 = 50.24 m².

Well explained 👍

Problem 4

The area of a square is 16 cm². Find the perimeter of the square.

Okay, lets begin

The perimeter of the square is 16 cm.

Explanation

The area of the square = a²

Here, the area is 16 cm²

The length of the side is √16 = 4 or -4

Perimeter of the square = 4a

Here, a = 4 or -4

Therefore, the perimeter = 4 × 4 = 16 cm or 4 × (-4) = -16 cm.

Well explained 👍

Problem 5

Find the square of 5.

Okay, lets begin

The square of 5 is 25

Explanation

The square of 5 is multiplying 5 by 5. So, the square = 5 × 5 = 25

Well explained 👍

FAQs on Square of -4

1.What is the square of -4?

The square of -4 is 16, as -4 × -4 = 16.

2.What is the square root of -4?

3.Is -4 a prime number?

4.What are the first few multiples of -4?

The first few multiples of -4 are -4, -8, -12, -16, -20, -24, -28, -32, and so on.

5.What is the square of 6?

Important Glossaries for Square of -4.

  • Even number: An integer divisible by 2 without a remainder. For example, -4, 2, 6, 8.
  • Imaginary number: A number that when squared gives a negative result. For example, the square root of -1 is i.
  • Perfect square: A number that is the square of an integer. For example, 16 is a perfect square of 4.
  • Exponent: A mathematical notation indicating the number of times a number is multiplied by itself. For example, in (-4)², 2 is the exponent.
  • Multiplication: The mathematical operation of scaling one number by another. For example, -4 × -4 = 16.

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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.