Find the sum `(3)/(10) + ( 5)/( 100) + ( 8)/( 1000)` in decimal form

Options

A. 0.853
B. 0.358
C. 3058
D. 8.35

Answer

To find the sum of the fractions \( \frac{3}{10} + \frac{5}{100} + \frac{8}{1000} \) in decimal form, we can follow these steps:

### Step 1: Convert each fraction to decimal form
1. **Convert \( \frac{3}{10} \)**:
- To convert \( \frac{3}{10} \) to decimal, divide 3 by 10.
- \( \frac{3}{10} = 0.3 \)

2. **Convert \( \frac{5}{100} \)**:
- To convert \( \frac{5}{100} \) to decimal, divide 5 by 100.
- \( \frac{5}{100} = 0.05 \)

3. **Convert \( \frac{8}{1000} \)**:
- To convert \( \frac{8}{1000} \) to decimal, divide 8 by 1000.
- \( \frac{8}{1000} = 0.008 \)

### Step 2: Add the decimal values
Now we will add the decimal values we obtained:
- \( 0.3 + 0.05 + 0.008 \)

### Step 3: Align the decimal points for addition
To add these decimals, we can align them:
```
0.300
+ 0.050
+ 0.008
---------
```

### Step 4: Perform the addition
Now we will add the numbers column by column:
1. Start from the rightmost column:
- \( 0 + 0 + 8 = 8 \)
2. Move to the next column:
- \( 0 + 5 + 0 = 5 \)
3. Move to the last column:
- \( 3 + 0 + 0 = 3 \)

So, the total sum is:
- \( 0.358 \)

### Final Answer
Thus, the sum \( \frac{3}{10} + \frac{5}{100} + \frac{8}{1000} \) in decimal form is \( 0.358 \).

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