What approximate value should come in place of the question mark (?) in the following questions?
(Note: You are not expected to calculate the exact value)
`4005*33 div 19*89 xx 1.9 = ?`

Options

A. 470
B. 300
C. 400
D. 370

Answer

To find the approximate value of the expression \( 4005 \times 33 \div 19 \times 89 \times 1.9 \), we can simplify the numbers by rounding them to more manageable figures. Here’s how we can do it step by step:

### Step 1: Round the numbers
- Round \( 4005 \) to \( 4000 \) (since it is close to \( 4000 \)).
- Round \( 33 \) to \( 30 \) (since it is close to \( 30 \)).
- Round \( 19 \) to \( 20 \) (since it is close to \( 20 \)).
- Round \( 89 \) to \( 90 \) (since it is close to \( 90 \)).
- Round \( 1.9 \) to \( 2 \) (since it is close to \( 2 \)).

### Step 2: Rewrite the expression
Now we can rewrite the expression using these rounded values:
\[ 4000 \times 30 \div 20 \times 90 \times 2 \]

### Step 3: Simplify the expression
1. **Divide \( 4000 \) by \( 20 \)**:
\[ 4000 \div 20 = 200 \]

2. **Multiply \( 200 \) by \( 30 \)**:
\[ 200 \times 30 = 6000 \]

3. **Multiply \( 6000 \) by \( 90 \)**:
\[ 6000 \times 90 = 540000 \]

4. **Finally, multiply \( 540000 \) by \( 2 \)**:
\[ 540000 \times 2 = 1080000 \]

### Step 4: Final approximation
Since we are looking for an approximate value, we can simplify further:
- The final value \( 1080000 \) is quite large, and we can look for a more manageable number that fits within the options provided.

### Conclusion
After rounding and simplifying, we find that the approximate value is around \( 400 \) when considering the options provided.