Being able to estimate can help you determine the likely range of the answer. Identify the most significant contribution, and fine tune the answer from there.

Multiplication/Division - Estimate the value of \( 123456789 \times 54321\).

A) \( 2.2 \times 10^3 \)

B) \(5.4 \times 10 ^ 4\)

C) \(1.2 \times 10 ^{11} \)

D) \( 7 \times 10^{12} \)

E) \( 6 \times 10^{14} \)

Solution: A good way to deal with this is to convert into scientific notation. We estimate the value as \( 1.2 \times 10^8 \times 5.4 \times 10^4 \approx 6 \times 10^{12} \). Hence, from the given options, the best answer is D.

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