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Multiple Choice
When 0.000028 is expressed in scientific notation, what is the exponent of 10?
A
-4
B
-5
C
-7
D
-6
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Verified step by step guidance
1
Identify the original number: 0.000028.
Recall that scientific notation expresses a number as \(a \times 10^{n}\), where \(1 \leq a < 10\) and \(n\) is an integer exponent.
To convert 0.000028 to scientific notation, move the decimal point to the right until you have a number between 1 and 10. Count how many places you move the decimal point.
Since you move the decimal point 5 places to the right, the exponent \(n\) will be negative because the original number is less than 1.
Therefore, the number in scientific notation is \(2.8 \times 10^{-5}\), and the exponent of 10 is \(-5\).