`9228.789-5021.832+1496.989=?`

Options

A. 6500
B. 6000
C. 6300
D. 5700

Explanation

To solve the equation \( 9228.789 - 5021.832 + 1496.989 \) using approximation, we will follow these steps:

### Step 1: Approximate each number
1. **Approximate 9228.789**:
- The digit after the decimal (7) is greater than 5, so we round up.
- This gives us \( 9229 \).
- We can further round it to the nearest ten, resulting in \( 9230 \).

2. **Approximate 5021.832**:
- The digit after the decimal (8) is greater than 5, so we round up.
- This gives us \( 5022 \).
- We can round this down to the nearest ten, resulting in \( 5020 \).

3. **Approximate 1496.989**:
- The digit after the decimal (9) is greater than 5, so we round up.
- This gives us \( 1497 \).
- We can round this up to the nearest hundred, resulting in \( 1500 \).

### Step 2: Substitute the approximated values into the equation
Now we substitute the approximated values into the equation:
\[ 9230 - 5020 + 1500 \]

### Step 3: Perform the calculations
1. **Calculate \( 9230 - 5020 \)**:
\[ 9230 - 5020 = 4210 \]

2. **Add \( 1500 \)** to the result:
\[ 4210 + 1500 = 5710 \]

### Final Answer
The approximate value of \( 9228.789 - 5021.832 + 1496.989 \) is \( 5710 \).