Question

reasoning is 6.84 in scientific notation? if not, explain. use pencil and paper. explain why 10 is used as the base in the second scientific notation factor. choose the correct answer below. a. no, it is not in scientific notation. the second factor is not a power of 10. b. no, it is not in scientific notation. the first factor is not greater than or equal to 1. c. no, it is not in scientific notation. the number is not written as a product of 2 factors. d. the number is in scientific notation.

Explanation:

Step1: Recall scientific - notation rules

Scientific notation is written as \(a\times10^{n}\), where \(1\leqslant|a|\lt10\) and \(n\) is an integer.

Step2: Analyze option A

In scientific notation, the second factor must be a power of 10. Option A says the second factor is not a power of 10, which is a correct reason for a number not being in scientific notation.

Step3: Analyze option B

The first factor in scientific - notation should be greater than or equal to 1 and less than 10. Option B's reason about the first factor not being in that range is correct for non - scientific notation.

Step4: Analyze option C

A number in scientific notation is written as a product of two factors. Option C's reason about the number not being written as a product of two factors is correct for non - scientific notation.

Step5: Analyze option D

If a number is in scientific notation, it meets the criteria of being in the form \(a\times10^{n}\) (\(1\leqslant|a|\lt10\), \(n\in\mathbb{Z}\)). Option D says the number is in scientific notation, which is incorrect based on the reasons in A, B, and C.

Answer:

D. The number is in scientific notation.