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. If it's not, it's not in scientific notation.

Step3: Analyze option B

The first factor \(a\) in scientific notation \(a\times 10^{n}\) should satisfy \(1\leqslant|a|\lt10\). If it doesn't, it's not in scientific notation.

Step4: Analyze option C

Scientific notation is a product of two factors: a number \(a\) with \(1\leqslant|a|\lt10\) and a power of 10. If it's not written as such a product, it's not in scientific notation.

Step5: Determine the correct answer

Since 6.84 can be written as \(6.84\times10^{0}\), it is in scientific notation.

Answer:

D. The number is in scientific notation.