Sung multiplied 892.65 by a powe of ten and got the product 892,65 By what power of ten did Sung multiply 892.65 ? (A) \( 10^{1} \) (B) \( 10^{2} \) (C) \( 10^{3} \) (D) \( 10^{4} \)
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Sung's original number is 892.65, which, when multiplied by a power of ten, results in 892,65. The difference between the two numbers is simply in the decimal placement. To convert 892.65 to 892,65, the decimal point should move one position to the right. This means he multiplied by \( 10^{1} \), making the answer (A) \( 10^{1} \). When adjusting a number by a power of ten, one common mistake is assuming it's only a matter of multiplication when, in fact, it directly affects the decimal placement. Remember that shifting the decimal to the right indicates a positive exponent, while shifting to the left indicates a negative exponent. Keeping this in mind can help you avoid confusions in future problems!