Simplify the given expression :
`5 + (6 xx 0.1) + (3 xx 0.01) + (4 xx 0.001) + (9 xx 100) + (2 xx 10)`

Options

A. 529.364
B. 259.634
C. 925.634
D. 925.436

Answer

To simplify the expression \( 5 + (6 \times 0.1) + (3 \times 0.01) + (4 \times 0.001) + (9 \times 100) + (2 \times 10) \), we can follow these steps:

### Step 1: Calculate each multiplication
1. \( 6 \times 0.1 = 0.6 \)
2. \( 3 \times 0.01 = 0.03 \)
3. \( 4 \times 0.001 = 0.004 \)
4. \( 9 \times 100 = 900 \)
5. \( 2 \times 10 = 20 \)

### Step 2: Substitute the results back into the expression
Now we can rewrite the expression with the calculated values:
\[ 5 + 0.6 + 0.03 + 0.004 + 900 + 20 \]

### Step 3: Combine the whole numbers
First, let's add the whole numbers:
\[ 5 + 900 + 20 = 925 \]

### Step 4: Combine the decimal values
Now, we add the decimal values:
\[ 0.6 + 0.03 + 0.004 \]

To add these, we can align them by their decimal points:
```
0.600
+ 0.030
+ 0.004
-------
```
Adding these values:
- From the thousandths place: \( 0 + 0 + 4 = 4 \)
- From the hundredths place: \( 0 + 3 + 0 = 3 \)
- From the tenths place: \( 6 + 0 + 0 = 6 \)

So, \( 0.6 + 0.03 + 0.004 = 0.634 \).

### Step 5: Combine the results
Now, we combine the whole number and the decimal:
\[ 925 + 0.634 = 925.634 \]

### Final Answer
Thus, the simplified expression is:
\[ \boxed{925.634} \]

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