Question

Which of the following products is negative? Select all that apply. *

(-4)(-9)
(-4)(9)
(6)(6)
(-6)(-6)
(6)(-6)

Answer 1

1. (-4)(9)
2. (6)(-6)

Explanation:

1.

`(-4)(-9)\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a\\=4*\:9\\= 36`

2.

`(-4)(9)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=-4*\:9\\\\\mathrm{Multiply\:the\:numbers:}\:4*\:9=36\\=-36`

3.

`(6)(6)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=6*\:6\\\\\mathrm{Multiply\:the\:numbers:}\:6*\:6\\=36`

4.

`(-6)(-6)\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a\\=6* 6\\\\\mathrm{Multiply\:the\:numbers:}\:6*\:6\\=36`

5.

`(6)(-6)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=-6* 6\\\\\mathrm{Multiply\:the\:numbers:}\:6* \:6=36\\=-36`