`420.009div13.998+11.997-17.0023=?`

Options

A. 23
B. 24
C. 25
D. 26

Explanation

To solve the expression \( 420.009 \div 13.998 + 11.997 - 17.0023 \) using approximation, we will follow these steps:

### Step 1: Approximate the numbers
- **Approximate \( 420.009 \)**: This is very close to \( 420 \).
- **Approximate \( 13.998 \)**: This is very close to \( 14 \).
- **Approximate \( 11.997 \)**: This is very close to \( 12 \).
- **Approximate \( 17.0023 \)**: This is very close to \( 17 \).

### Step 2: Rewrite the expression with approximations
Now, we can rewrite the expression using these approximations:
\[ 420 \div 14 + 12 - 17 \]

### Step 3: Perform the division
Now, calculate \( 420 \div 14 \):
\[ 420 \div 14 = 30 \]

### Step 4: Add and subtract the remaining numbers
Now substitute back into the expression:
\[ 30 + 12 - 17 \]

### Step 5: Calculate \( 30 + 12 \)
First, calculate \( 30 + 12 \):
\[ 30 + 12 = 42 \]

### Step 6: Subtract \( 17 \)
Now subtract \( 17 \) from \( 42 \):
\[ 42 - 17 = 25 \]

### Final Answer
Thus, the approximate value of the expression \( 420.009 \div 13.998 + 11.997 - 17.0023 \) is:
\[ \boxed{25} \]