Multiplication and Division of Negative Numbers

Multiplication and Division of Negative Numbers are done in the same manner as in the case of a normal taking into consideration the minus or the negative sign. The multiplication and division of two negative numbers always result in a positive number while the multiplication and division of a negative number with a positive number give a negative number as a result. Let’s look into the detail

Multiplication of Negative Numbers

Multiplication of negative numbers is achieved by following the rules as discussed below, there are two ways of multiplying the negative numbers,

  • Case 1: Multiplying a Negative Number with a Positive Number
  • Case 2: Multiplying Negative Number with Negative Number

Let’s learn the same in detail.

Multiplying a Negative Number with a Positive Number

Negative numbers are multiplied by positive numbers then the result is obtained by finding the product of two numbers and then applying the negative sign, this is explained as,

(-a) × (b) = -(ab)

Thus, the product of a negative number and the positive number is a positive number. We can explain the same with same by the example,

Example: Multiply the same, (-3) × (6)

Solution:

= (-3) × (6)

= -18

Multiplying a Negative Number with a Negative Number

Negative numbers are multiplied by negative numbers then the result is obtained by finding the product of two numbers and then applying the positive sign, this is explained as,

(-a) × (-b) = (ab)

Thus, the product of a negative number and the negative number is a positive number. We can explain the same with same by the example,

Example: Multiply the same, (-3) × (-6)

Solution:

= (-3) × (-6)

= 18

Division of Negative Numbers

Division of negative numbers is achieved by following the rules as discussed below, there are two ways of division of the negative numbers,

  • Case 1: Divison Negative Number with a Positive Number
  • Case 2: Divison Negative Number with Negative Number

Let’s learn the same in detail.

Division by Negative Number with Positive Number

Negative numbers are divided by positive numbers then the result is obtained by dividing two numbers and then applying the negative sign, this is explained as,

(-a) / (b) = -(a/b)

Thus, the division of a negative number and the positive number is a positive number. We can explain the same with same by the example,

Example: Divide (-6) by (3)

Solution:

= (-6) / (3)

= -2

Dividing a Negative Number with a Negative Number

When Negative numbers are divided by negative numbers then the result is obtained by finding the quotient of two numbers and then applying the positive sign, this is explained as,

(-a) / (-b) = a/b

Thus, the division of a negative number and the negative number is a positive number. We can explain the same with same by the example,

Example: Divide (-6) by (-3)

Solution:

= (-6) / (-3)

= 2

Negative Numbers

Negative Numbers are the numbers that are represented on the negative side of the number line. Negative Numbers are the numbers whose value is less than zero. They are placed on the left-hand side of the zero on the number line. We apply the (-) minus sign before negative numbers to represent them. For example, -5 represents a number that is five units on the left side of zero in the number line.

In his article, we will learn about, negative numbers, operations on negative numbers, their properties, examples, and others in detail.

Table of Content

  • Negative Numbers Definition
  • Rules of Negative Numbers
  • How to Add and Subtract Negative Numbers?
    • Addition of Negative Numbers
    • Subtraction of Negative Numbers
  • Multiplication and Division of Negative Numbers
    • Multiplication of Negative Numbers
    • Division of Negative Numbers
  • Negative Numbers with Exponents
  • Square Root of Negative Numbers
  • Examples on Negative Numbers
  • FAQs

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Negative Numbers Definition

Negative Numbers as the name suggest are the numbers that contain a negative (-) sign as the prefix. They are on the left side of zero on the number line. Negative numbers can be integers, rational numbers, decimals, etc. Various examples of negative numbers are -3, -1.12, -4/5, etc. The figure added below shows the negative numbers on the number line....

Rules of Negative Numbers

We can easily perform all the basic operations such as addition, subtraction, multiplication, and division on negative numbers and the basic properties of negative numbers are,...

How to Add and Subtract Negative Numbers?

Negative numbers can be easily added or subtracted performing addition and subtraction on negative numbers we must follow the following rules....

Multiplication and Division of Negative Numbers

Multiplication and Division of Negative Numbers are done in the same manner as in the case of a normal taking into consideration the minus or the negative sign. The multiplication and division of two negative numbers always result in a positive number while the multiplication and division of a negative number with a positive number give a negative number as a result. Let’s look into the detail...

Negative Numbers with Exponents

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Square Root of Negative Numbers

From the above heading, we know that if a negative number is raised to even power then the result is positive. Hence, the square of a negative number is positive. We can find the square root of a number only if its square is defined. Hence, the square root of a negative number is not a real number rather it is an imaginary number. Let’s see an example...

Examples on Negative Numbers

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FAQs on Negative Numbers

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