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