Which of the following numbers (expressed in scientific notation) is not equivalent to 100.5?

A. [tex]1.005 \times 10^{-2}[/tex]
B. [tex]1.005 \times 10^{-3}[/tex]
C. [tex]100.5 \times 10^{-2}[/tex]
D. [tex]100.5 \times 10^{-3}[/tex]

Answer :

Final answer:

B) 1.005 x 10^-3 is not equivalent to 100.5.

Explanation:

To determine which number is not equivalent to 100.5, we need to compare them in scientific notation. The number 100.5 in scientific notation is 1.005 x 10^2.

Option B, 1.005 x 10^-3, is significantly smaller than 100.5. It is equivalent to 0.001005. This is not equivalent to 100.5 and is therefore the correct answer.

Options A and C, 1.005 x 10^-2 and 100.5 x 10^-2 respectively, are equivalent to 0.01005 and 1.005, which are both significantly smaller than 100.5.

Option D, 100.5 x 10^-3, is equivalent to 0.1005, which is also smaller than 100.5.

In summary, option B, 1.005 x 10^-3, is the only choice that is not equivalent to 100.5.

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