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Sagot :
Certainly! Let's analyze each expression one-by-one by determining its type (numerical or algebraic) and identifying the operations it involves.
### Expression Analysis
1. Expression: [tex]\(16 \div 2\)[/tex]
- Expression Type: Numerical (no variables present)
- Operation(s): Division
2. Expression: [tex]\(8d\)[/tex]
- Expression Type: Algebraic (contains the variable [tex]\(d\)[/tex])
- Operation(s): Multiplication
3. Expression: [tex]\(5 + 11\)[/tex]
- Expression Type: Numerical (no variables present)
- Operation(s): Addition
4. Expression: [tex]\(\frac{36}{12}\)[/tex]
- Expression Type: Numerical (no variables present)
- Operation(s): Division
5. Expression: [tex]\(2p - 1\)[/tex]
- Expression Type: Algebraic (contains the variable [tex]\(p\)[/tex])
- Operation(s): Multiplication and Subtraction
6. Expression: [tex]\(4k + 4\)[/tex]
- Expression Type: Algebraic (contains the variable [tex]\(k\)[/tex])
- Operation(s): Multiplication and Addition
### Filling the Table
Now, let's fill in the table with the determined types and operations for each expression:
\begin{tabular}{|l|l|l|}
\hline
Expression & Expression Type & Operation(s) \\
\hline
[tex]$16 \div 2$[/tex] & Numerical & Division \\
\hline
[tex]$8d$[/tex] & Algebraic & Multiplication \\
\hline
[tex]$5 + 11$[/tex] & Numerical & Addition \\
\hline
[tex]$\frac{36}{12}$[/tex] & Numerical & Division \\
\hline
[tex]$2p - 1$[/tex] & Algebraic & Multiplication, Subtraction \\
\hline
[tex]$4k + 4$[/tex] & Algebraic & Multiplication, Addition \\
\hline
\end{tabular}
Now, addressing the final note about Mr. Ricardo's class trip:
There are 17 members of Mr. Ricardo's class going on the class trip. This additional information seems to be unrelated to the task of filling in the table, so we will acknowledge it but it doesn't require any calculations or actions related to the table.
### Complete Table
```
\begin{tabular}{|l|l|l|}
\hline
Expression & Expression Type & Operation(s) \\
\hline
[tex]$16 \div 2$[/tex] & Numerical & Division \\
\hline
[tex]$8d$[/tex] & Algebraic & Multiplication \\
\hline
[tex]$5 + 11$[/tex] & Numerical & Addition \\
\hline
[tex]$\frac{36}{12}$[/tex] & Numerical & Division \\
\hline
[tex]$2p - 1$[/tex] & Algebraic & Multiplication, Subtraction \\
\hline
[tex]$4k + 4$[/tex] & Algebraic & Multiplication, Addition \\
\hline
\end{tabular}
```
This table summarizes the expression types and operations for each given expression.
### Expression Analysis
1. Expression: [tex]\(16 \div 2\)[/tex]
- Expression Type: Numerical (no variables present)
- Operation(s): Division
2. Expression: [tex]\(8d\)[/tex]
- Expression Type: Algebraic (contains the variable [tex]\(d\)[/tex])
- Operation(s): Multiplication
3. Expression: [tex]\(5 + 11\)[/tex]
- Expression Type: Numerical (no variables present)
- Operation(s): Addition
4. Expression: [tex]\(\frac{36}{12}\)[/tex]
- Expression Type: Numerical (no variables present)
- Operation(s): Division
5. Expression: [tex]\(2p - 1\)[/tex]
- Expression Type: Algebraic (contains the variable [tex]\(p\)[/tex])
- Operation(s): Multiplication and Subtraction
6. Expression: [tex]\(4k + 4\)[/tex]
- Expression Type: Algebraic (contains the variable [tex]\(k\)[/tex])
- Operation(s): Multiplication and Addition
### Filling the Table
Now, let's fill in the table with the determined types and operations for each expression:
\begin{tabular}{|l|l|l|}
\hline
Expression & Expression Type & Operation(s) \\
\hline
[tex]$16 \div 2$[/tex] & Numerical & Division \\
\hline
[tex]$8d$[/tex] & Algebraic & Multiplication \\
\hline
[tex]$5 + 11$[/tex] & Numerical & Addition \\
\hline
[tex]$\frac{36}{12}$[/tex] & Numerical & Division \\
\hline
[tex]$2p - 1$[/tex] & Algebraic & Multiplication, Subtraction \\
\hline
[tex]$4k + 4$[/tex] & Algebraic & Multiplication, Addition \\
\hline
\end{tabular}
Now, addressing the final note about Mr. Ricardo's class trip:
There are 17 members of Mr. Ricardo's class going on the class trip. This additional information seems to be unrelated to the task of filling in the table, so we will acknowledge it but it doesn't require any calculations or actions related to the table.
### Complete Table
```
\begin{tabular}{|l|l|l|}
\hline
Expression & Expression Type & Operation(s) \\
\hline
[tex]$16 \div 2$[/tex] & Numerical & Division \\
\hline
[tex]$8d$[/tex] & Algebraic & Multiplication \\
\hline
[tex]$5 + 11$[/tex] & Numerical & Addition \\
\hline
[tex]$\frac{36}{12}$[/tex] & Numerical & Division \\
\hline
[tex]$2p - 1$[/tex] & Algebraic & Multiplication, Subtraction \\
\hline
[tex]$4k + 4$[/tex] & Algebraic & Multiplication, Addition \\
\hline
\end{tabular}
```
This table summarizes the expression types and operations for each given expression.
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