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[tex]\[
\text {F.} (-12) \div (-\Delta z)
\][/tex]

2. Completa la tabla 116 según las operaciones indicadas. Escribe una [tex]$x$[/tex] cuando no se trate de una.

[tex]\[
\begin{tabular}{|c|c|c|c|c|}
\hline
$a$ & $b$ & $a \, t \, b$ & $-2b$ & $a = (-b)$ \\
\hline
-24 & -3 & & & \\
\hline
16 & -4 & & & \\
\hline
-25 & 2 & & & \\
\hline
-6 & 66 & & & \\
\hline
32 & 8 & & & \\
\hline
6 & -18 & & & \\
\hline
\end{tabular}
\][/tex]



Answer :

GinnyAnswer
Sure, let's fill out the table based on the given data and the operations indicated:

1. Calculate [tex]\(a \times b\)[/tex]
2. Calculate [tex]\(-2 \times b\)[/tex]
3. Check if [tex]\(a = -b\)[/tex]

Here is the step-by-step solution for each row:

### Row 1:
- [tex]\(a = -24\)[/tex], [tex]\(b = -3\)[/tex]

1. [tex]\(a \times b = -24 \times -3 = 72\)[/tex]
2. [tex]\(-2 \times b = -2 \times -3 = 6\)[/tex]
3. [tex]\(a = -b\)[/tex] check: [tex]\(-24 = -(-3)\)[/tex] [tex]\( \rightarrow \)[/tex] This is false

### Row 2:
- [tex]\(a = 16\)[/tex], [tex]\(b = -4\)[/tex]

1. [tex]\(a \times b = 16 \times -4 = -64\)[/tex]
2. [tex]\(-2 \times b = -2 \times -4 = 8\)[/tex]
3. [tex]\(a = -b\)[/tex] check: [tex]\( 16 = -(-4) \)[/tex] [tex]\( \rightarrow \)[/tex] This is false

### Row 3:
- [tex]\(a = -25\)[/tex], [tex]\(b = 2\)[/tex]

1. [tex]\(a \times b = -25 \times 2 = -50\)[/tex]
2. [tex]\(-2 \times b = -2 \times 2 = -4\)[/tex]
3. [tex]\(a = -b\)[/tex] check: [tex]\(-25 = -(2)\)[/tex] [tex]\( \rightarrow \)[/tex] This is false

### Row 4:
- [tex]\(a = -6\)[/tex], [tex]\(b = 66\)[/tex]

1. [tex]\(a \times b = -6 \times 66 = -396\)[/tex]
2. [tex]\(-2 \times b = -2 \times 66 = -132\)[/tex]
3. [tex]\(a = -b\)[/tex] check: [tex]\(-6 = -(66)\)[/tex] [tex]\( \rightarrow \)[/tex] This is false

### Row 5:
- [tex]\(a = 32\)[/tex], [tex]\(b = 8\)[/tex]

1. [tex]\(a \times b = 32 \times 8 = 256\)[/tex]
2. [tex]\(-2 \times b = -2 \times 8 = -16\)[/tex]
3. [tex]\(a = -b\)[/tex] check: [tex]\(32 = -(8)\)[/tex] [tex]\( \rightarrow \)[/tex] This is false

### Row 6:
- [tex]\(a = 6\)[/tex], [tex]\(b = -18\)[/tex]

1. [tex]\(a \times b = 6 \times -18 = -108\)[/tex]
2. [tex]\(-2 \times b = -2 \times -18 = 36\)[/tex]
3. [tex]\(a = -b\)[/tex] check: [tex]\(6 = -(-18)\)[/tex] [tex]\( \rightarrow \)[/tex] This is false

Now let's complete the table with these values:

[tex]\[ \begin{tabular}{|c|c|c|c|c|} \hline $a$ & $b$ & $a \times b$ & $-2 \times b$ & $a = -b$ \\ \hline -24 & -3 & 72 & 6 & False \\ \hline 16 & -4 & -64 & 8 & False \\ \hline -25 & 2 & -50 & -4 & False \\ \hline -6 & 66 & -396 & -132 & False \\ \hline 32 & 8 & 256 & -16 & False \\ \hline 6 & -18 & -108 & 36 & False \\ \hline \end{tabular} \][/tex]

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