Find the product of `102030 xx 405060 xx 708090`

Options

A. 3.90647E+16
B. 2.81636E+17
C. 2.92635978862E+14
D. 2.91636E+17

Answer

To find the product of \( 102030 \times 405060 \times 708090 \), we can follow these steps:

### Step 1: Break down the numbers
We can express the numbers in a more manageable form by factoring out the zeros:
- \( 102030 = 10203 \times 10^3 \)
- \( 405060 = 40506 \times 10^3 \)
- \( 708090 = 70809 \times 10^3 \)

### Step 2: Combine the factors
Now, we can combine the factors:
\[ 102030 \times 405060 \times 708090 = (10203 \times 10^3) \times (40506 \times 10^3) \times (70809 \times 10^3) \]
This simplifies to:
\[ = 10203 \times 40506 \times 70809 \times 10^{3+3+3} \]
\[ = 10203 \times 40506 \times 70809 \times 10^9 \]

### Step 3: Calculate the product of the smaller numbers
Now, we need to calculate \( 10203 \times 40506 \times 70809 \).

1. First, calculate \( 10203 \times 40506 \):
\[ 10203 \times 40506 = 413131818 \]

2. Next, multiply the result by \( 70809 \):
\[ 413131818 \times 70809 = 29263597886262 \]

### Step 4: Combine with the powers of ten
Now, we combine this result with the \( 10^9 \):
\[ 29263597886262 \times 10^9 = 2.9263597886262 \times 10^{22} \]

### Step 5: Format the answer
The final answer can be expressed in scientific notation:
\[ = 2.9263597886262 \times 10^{22} \]

### Conclusion
Thus, the product of \( 102030 \times 405060 \times 708090 \) is approximately \( 2.92636 \times 10^{22} \).