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Multiple Choice
Which of the following values is written in proper scientific notation?
A
7.0 \(\times\) 10^{-2}
B
3.2 \(\times\) 10^4
C
0.45 \(\times\) 10^3
D
12.0 \(\times\) 10^2
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Verified step by step guidance
1
Recall that proper scientific notation expresses a number as \(a \times 10^{n}\), where \(a\) is a number greater than or equal to 1 and less than 10, and \(n\) is an integer exponent.
Examine each given value to see if the coefficient (the number before \(\times 10^{n}\)) is between 1 and 10.
For \(7.0 \times 10^{-2}\), the coefficient is 7.0, which is between 1 and 10, so this is proper scientific notation.
For \(3.2 \times 10^{4}\), the coefficient is 3.2, which is also between 1 and 10, so this is proper scientific notation.
For \(0.45 \times 10^{3}\) and \(12.0 \times 10^{2}\), the coefficients 0.45 and 12.0 are not between 1 and 10, so these are not written in proper scientific notation.