College

Find the product of -44 and -6.

Which of the following expressions represents the phrase "the product of -44 and -6"?

A. [tex]-6 \div (-44)[/tex]
B. [tex]-44 - (-6)[/tex]
C. [tex]-44(-6)[/tex]
D. [tex]-44 \div (-6)[/tex]
E. [tex]-44 + (-6)[/tex]
F. [tex]-6 - (-44)[/tex]

Answer :

To solve the problem of finding the product of [tex]\(-44\)[/tex] and [tex]\(-6\)[/tex], let's break down the steps:

1. Translate the Phrase:
The phrase "the product of [tex]\(-44\)[/tex] and [tex]\(-6\)[/tex]" means you need to multiply these two numbers. The expression that represents this is simply [tex]\(-44 \times (-6)\)[/tex].

2. Multiply:
When you multiply two negative numbers, the result is a positive number. In this case:

[tex]\(-44 \times (-6) = 264\)[/tex]

3. Simplification:
The multiplication [tex]\(-44 \times (-6)\)[/tex] simplifies directly to [tex]\(264\)[/tex].

So, the expression that correctly represents the phrase is [tex]\(-44 \times (-6)\)[/tex], and the simplified result of this expression is [tex]\(264\)[/tex]. Therefore, [tex]\(264\)[/tex] is the correct answer.