(1) Evaluate: \( \left(6.7 \times 10^{4}\right) \times\left(9.1 \times 10^{6}\right) \)
(A) \( 6.097 \times 10^{11} \)
(B) \( 6.097 \times 10^{10} \)
(C) \( 6.097 \times 10^{9} \)
(D) \( 60.97 \times 10^{10} \)

Answer

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Answer

\(\text{Standardizing: } 60.97 \times 10^{10} = 6.097 \times 10 \times 10^{10} = 6.097 \times 10^{11} \)

Steps

Step 1 ：\( \left(6.7 \times 10^{4}\right) \times\left(9.1 \times 10^{6}\right) \) = \( 6.7 \times 9.1 \times 10^{4+6} \)

Step 2 ：\( 6.7 \times 9.1 \times 10^{10} \) = 60.97 \times 10^{10} \)

Step 3 ：\(\text{Standardizing: } 60.97 \times 10^{10} = 6.097 \times 10 \times 10^{10} = 6.097 \times 10^{11} \)