`2+(8xx0.1)+(6xx0.01)+(4xx0.001)=`

Options

A. `0.2864`
B. `2.864`
C. `28.64`
D. 2864

Answer

To solve the expression \( 2 + (8 \times 0.1) + (6 \times 0.01) + (4 \times 0.001) \), we will follow these steps:

### Step 1: Calculate each multiplication
1. **Calculate \( 8 \times 0.1 \)**:
\[ 8 \times 0.1 = 0.8 \]

2. **Calculate \( 6 \times 0.01 \)**:
\[ 6 \times 0.01 = 0.06 \]

3. **Calculate \( 4 \times 0.001 \)**:
\[ 4 \times 0.001 = 0.004 \]

### Step 2: Rewrite the expression
Now we can rewrite the original expression with the calculated values:
\[ 2 + 0.8 + 0.06 + 0.004 \]

### Step 3: Align the decimal points for addition
To add these numbers, we can align them by their decimal points:
```
2.000
+ 0.800
+ 0.060
+ 0.004
```

### Step 4: Perform the addition
Now we will add the numbers column by column:
- **Thousandths place**: \( 0 + 0 + 0 + 4 = 4 \)
- **Hundredths place**: \( 0 + 0 + 6 + 0 = 6 \)
- **Tenths place**: \( 0 + 8 + 0 + 0 = 8 \)
- **Whole number**: \( 2 + 0 + 0 + 0 = 2 \)

Putting it all together, we get:
\[ 2.864 \]

### Final Answer
Thus, the final answer is:
\[ \boxed{2.864} \]

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