(1) Evaluate: $(6.7 \times 10^{4}) \times (9.1 \times 10^{6})$
(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

$Standardizing: 60.97 \times 10^{10} = 6.097 \times 10 \times 10^{10} = 6.097 \times 10^{11}$

Steps

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

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

Step 3 ： $Standardizing: 60.97 \times 10^{10} = 6.097 \times 10 \times 10^{10} = 6.097 \times 10^{11}$