Question

Find the product or quotient

$9 \left(-17\right)$

Short answer

The value of the product 9 (– 17) is – 153

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.

$30= 6 · 5$(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.

Type of Numbers	Result	Example
Positive x Positive	Positive	1 x 5 = 5
Negative x Negative	Positive	(–1) x (–5) = 5
Positive x Negative	Negative	1 x (–5) =–5
Negative x Positive	Negative	(– 1) x 5 = – 5

Step 4. Find the product or quotient 9 (– 17) 

Rule: The product of a positive integer and a negative integer is negative.

Here the first factor 9 is positive and the second factor 17 is negative.

According to the rule, the product is negative. $9 (- 17 ) = - 153$

The product of $9 \text{and} (- 17 )$ is $- 153$.