Question

Find the product or quotient $-33(-3)$

Short answer

The value of the product – 33 (– 3) is 99

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 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 – 33 (– 3) 

Rule: The product of two negative integers is positive.

Here the first factor 33 is negative and the second factor 3 is negative.

According to the rule, the product is positive.$-33(-3)=+99$

The product of$-33\text{\hspace{0.17em}\hspace{0.17em}and\hspace{0.17em}\hspace{0.17em}}(-3)$ is.$+99$