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What is \( 4000 \times 5000 \times 6000 \times 7000 \times 1000 \times 9000 \times 10,000 \times 11,000 \times 3000 \times 6000 \times 12,000 \times 20,000 \)?

Answer :

Final answer:

The product of the given numbers is 1677312000000000000000000, reached by multiplying the individual digits and then appending 12 zeros due to the thousands.

Explanation:

To calculate the product of 4000×5000×6000×7000×1000×9000×10,000×11,000×3000×6000×12,000×20,000, we can simplify the calculation by looking for patterns and using exponentiation where possible. First, let's group the thousands together to make it easier:

(4×5×6×7×1×9×10×11×3×6×12×20) × (1000^12)

To start, we can multiply the single-digit numbers together, and then the double-digit numbers:

4×5×6×7×9 = 5040

10×11×3×6×12×20 = 332640

Now, we can multiply these two results:

5040 × 332640 = 1677312000

Finally, we multiply this result by 1000^12 which is essentially adding 12 zeros to the end of our current product:

1677312000000000000000000

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