Question

Find the product or quotient

$-9(-12)$

Short answer

The value of the product – 9 (– 12) is 108.

Step-by-step solution

Step-1 – Apply the concept of product

When two or more numbers are multiplied together, it gives a number. The numbers that are being multiplied are called the factors. And the result of the multiplication of numbers is called the product of those numbers.

Step-2 – Example for the product

For example, 30 is the product of 6 and 5 (the result of multiplication), and is the product of and. (indicating that the two factors should be multiplied together).

$30=6·5$(The two factors are 6 and 5)

$26=2·13$(The two factors are 2 and 13)

Step-3 – Rules and examples for multiplication of integers 

RULE 1: The product of a positive integer and a negative integer is negative.

RULE 2: The product of two positive integers is positive.

RULE 3: The product of two negative integers is positive.

Step-4 – Find the product or quotient – 9 (– 12) 

Rule: The product of two negative integers is positive.

Here the first factor 9 is negative and the second factor 12 is negative.

According to the rule, the product is positive.$-9(-12)=108$

The product of$-9\text{\hspace{0.17em}\hspace{0.17em}and\hspace{0.17em}\hspace{0.17em}}(-12)$ is$+108$