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Multiple Choice
Which of the following is the correct scientific notation for 0.00063?
A
6.3 \(\times\) 10^{-3}
B
63 \(\times\) 10^{-5}
C
6.3 \(\times\) 10^{-4}
D
6.3 \(\times\) 10^{4}
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Verified step by step guidance
1
Identify the original number: 0.00063.
Recall that scientific notation expresses a number as \(a \times 10^{n}\), where \(1 \leq a < 10\) and \(n\) is an integer.
Move the decimal point in 0.00063 to the right until you get a number between 1 and 10. Count how many places you move the decimal.
Since moving the decimal point 4 places to the right converts 0.00063 to 6.3, the exponent \(n\) will be negative 4 (because the original number is less than 1).
Write the number in scientific notation as \(6.3 \times 10^{-4}\).