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The provided text contains a mix of mathematical expressions, tables, and equations that appear to be disorganized. Here is a more structured and corrected version:

```markdown
1. Evaluate the following expressions:

a) [tex]\( 4 = 4 \times 4 \times 4 \times 4 = 256 \)[/tex]

b) [tex]\( 23 \cos(\theta) + 4.75 = \)[/tex]

2. Solve the following arithmetic problems:

a) [tex]\( 312 + 3227 = \)[/tex]

b) [tex]\( 4.12 + 7.23 = \)[/tex]

3. Fill in the missing values in the following tables:

Table 1:
\begin{tabular}{|c|c|c|c|}
\hline
e & 0 & 5 & e \\
\hline
& 51 & & 5 \\
\hline
& & D & \\
\hline
— & 1 & [tex]$\square$[/tex] & \\
\hline
\end{tabular}

Table 2:
\begin{tabular}{|l|l|l|l|l|}
\hline
C & D & U & d & c \\
\hline
& & & & \\
\hline
& & & & \\
\hline
& & & & \\
\hline
\end{tabular}

4. Calculate the following sums:

a) [tex]\( 10.01 + 9.95 = \)[/tex]

b) [tex]\( \$ 916.25 + 14.7 = \)[/tex]
```

Note: The text has been rearranged to provide clarity and coherence. Mathematical expressions and arithmetic problems are separated for easy reading. Tables are organized and labeled for clarity.



Answer :

GinnyAnswer
Let's address each part of your question step by step:

### 1) [tex]\( 312 + 3227 \)[/tex]

To find the sum of [tex]\( 312 \)[/tex] and [tex]\( 3227 \)[/tex]:

- Start by aligning the numbers by their place values:
```
312
+ 3227
```

- Add the digits starting from the rightmost digit (units):
- Units: [tex]\( 2 + 7 = 9 \)[/tex]
- Tens: [tex]\( 1 + 2 = 3 \)[/tex]
- Hundreds: [tex]\( 3 + 2 = 5 \)[/tex]
- Add remaining thousand:
- Thousand: [tex]\( 3 + 0 = 3 \)[/tex]

So, adding these values together gives the sum:
[tex]\[ 312 + 3227 = 3539 \][/tex]

### 2) [tex]\( 4.12 + 7.23 \)[/tex]

To find the sum of [tex]\( 4.12 \)[/tex] and [tex]\( 7.23 \)[/tex]:

- Align the numbers by their decimal points:
```
4.12
+ 7.23
```

- Adding the digits starting from the rightmost decimal place:
- Hundredths: [tex]\( 2 + 3 = 5 \)[/tex]
- Tenths: [tex]\( 1 + 2 = 3 \)[/tex]
- Units: [tex]\( 4 + 7 = 11 \)[/tex] (note: this should be understood as [tex]\( 1 \)[/tex] carry over to the next place, but since it's single digit addition here, no carry)

So, adding these values together gives the sum:
[tex]\[ 4.12 + 7.23 = 11.35 \][/tex]

### 3) [tex]\( 10.01 + 9.95 \)[/tex]

To find the sum of [tex]\( 10.01 \)[/tex] and [tex]\( 9.95 \)[/tex]:

- Align the numbers by their decimal points:
```
10.01
+ 9.95
```

- Adding the digits starting from the rightmost decimal place:
- Hundredths: [tex]\( 1 + 5 = 6 \)[/tex]
- Tenths: [tex]\( 0 + 9 = 9 \)[/tex]
- Units: [tex]\( 0 + 9 = 9 \)[/tex]
- Tens: [tex]\( 1 + 0 = 1 \)[/tex]

So, adding these values together gives the sum:
[tex]\[ 10.01 + 9.95 = 19.96 \][/tex]

### 4) [tex]\( \$916.25 + 14.7 \)[/tex]

To find the sum of [tex]\( 916.25 \)[/tex] and [tex]\( 14.7 \)[/tex]:

- Align the numbers by their decimal points. To make addition easier, we can write [tex]\( 14.7 \)[/tex] as [tex]\( 14.70 \)[/tex]:
```
916.25
+ 14.70
```

- Adding the digits starting from the rightmost decimal place:
- Hundredths: [tex]\( 5 + 0 = 5 \)[/tex]
- Tenths: [tex]\( 2 + 7 = 9 \)[/tex]
- Units: [tex]\( 6 + 4 = 10 \)[/tex] (write 0 and carry 1)
- Tens: [tex]\( 9 + 1 = 10 \)[/tex] (plus carried 1)
- Hundreds: [tex]\( 9\)[/tex] (plus carried 1 from the tens addition)

So, adding these values together gives the sum:
[tex]\[ \$916.25 + 14.7 = \$930.95 \][/tex]

### Summary:

- [tex]\( 312 + 3227 = 3539 \)[/tex]
- [tex]\( 4.12 + 7.23 = 11.35 \)[/tex]
- [tex]\( 10.01 + 9.95 = 19.96 \)[/tex]
- [tex]\( \$916.25 + 14.7 = \$930.95 \)[/tex]

These results align with the numerical results calculated.

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