`507.893+253.013+199.781=?`

Options

A. 760
B. 860
C. 560
D. 960

Explanation

To solve the problem \( 507.893 + 253.013 + 199.781 \) using approximation, we will follow these steps:

### Step 1: Approximate each number
1. **Approximate 507.893**:
- The digit after the decimal is 8, which is greater than 5. Therefore, we round up to 508.

2. **Approximate 253.013**:
- The digit after the decimal is 0, which is less than 5. Therefore, we keep it as 253.

3. **Approximate 199.781**:
- The digit after the decimal is 7, which is greater than 5. Therefore, we round up to 200.

### Step 2: Write the approximated numbers
Now we have the approximated numbers:
- \( 508 \)
- \( 253 \)
- \( 200 \)

### Step 3: Add the approximated numbers
Now, we will add these approximated numbers together:
\[ 508 + 253 + 200 \]

### Step 4: Calculate the sum
1. First, add \( 508 + 253 \):
\[ 508 + 253 = 761 \]

2. Next, add \( 761 + 200 \):
\[ 761 + 200 = 961 \]

### Step 5: Round the final sum
Since we are looking for an approximate answer, we round \( 961 \) to the nearest ten:
- The nearest ten to \( 961 \) is \( 960 \).

### Final Answer
Thus, the approximate sum of \( 507.893 + 253.013 + 199.781 \) is \( \approx 960 \).

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