`36.98276421 xx 21.00002` = ?

Options

A. 775
B. 785
C. 800
D. 750

Answer

To solve the multiplication of \( 36.98276421 \times 21.00002 \) using approximation, we can follow these steps:

### Step 1: Round the Numbers
First, we approximate the numbers to make the multiplication easier.
- \( 36.98276421 \) can be approximated to \( 37 \).
- \( 21.00002 \) can be approximated to \( 21 \).

### Step 2: Break Down the Multiplication
Now, we can express the multiplication as:
\[ 37 \times 21 \]
We can break this down further:
\[ 37 \times 21 = 37 \times (20 + 1) = 37 \times 20 + 37 \times 1 \]

### Step 3: Calculate Each Part
Now we calculate each part:
1. \( 37 \times 20 = 740 \)
2. \( 37 \times 1 = 37 \)

### Step 4: Add the Results
Now, we add the results from the previous step:
\[ 740 + 37 = 777 \]

### Step 5: Conclusion
Thus, the approximate result of \( 36.98276421 \times 21.00002 \) is \( 777 \).

### Final Answer
The approximate answer is \( 777 \).

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