Question

2. Critique Reasoning Taylor states that 2,800,000in scientific notation is 2.8 x 10-6 because thenumber has six places to the right of the 2. IsTaylor's reasoning correct?

Answer 1

Taylor's reasoning is incorrect

Explanation:

From Critique Reasoning Taylor 2,800,000 = 2.8 x 10-6

2,800,000 in scientific notation:

the movement from the right to the left while stopping at the first number

Also moving from right to left gives positive exponent. Movement from left to right gives negative exponent

Scientific notation:

$\begin{gathered} 2.8\times10^{number\text{ of movement}} \\ number\text{ of movement = 5} \\ \end{gathered}$$2,800,000\text{ = 2.8}\times10^5$

From the calculation derived, it is nthe number of movement that determines the exponent. It doesn't have six places to the right of 2. As a rsult,Taylor's result is different from the answer we got.

Hence, Taylor's reasoning is incorrect