Question

Perform the indicated operation.

$6 (-7)$

Short answer

The value of the expression is– 42.

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 – Rules of 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-3 – Evaluate the expression

The expression: $6\left(-7\right)$

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

6 is positive and 7 is negative, so their product will be negative.

$6\left(-7\right) = - 42$