Certainly! Let's carefully verify the given expressions step by step to ensure they are all equivalent to -4.
1. Expression Verification: [tex]\((-4) \times 1\)[/tex]
[tex]\[
(-4) \times 1 = -4
\][/tex]
So, the first expression evaluates to -4.
2. Expression Verification: [tex]\(4 \times (-1)\)[/tex]
[tex]\[
(4) \times (-1) = -4
\][/tex]
Therefore, the second expression also evaluates to -4.
3. Expression Verification: [tex]\(2 \times (-2)\)[/tex]
[tex]\[
(2) \times (-2) = -4
\][/tex]
Thus, the third expression evaluates to -4 as well.
Since all individual expressions have been evaluated and verified to be equal to -4, we can confidently state that:
[tex]\[
-4 = (-4) \times 1 = 4 \times (-1) = 2 \times (-2)
\][/tex]
This confirms that the given equality holds true for all the expressions involved.
