Respuesta :
Given:
The expression is
[tex](5.1\times 10^{-15})-(2.3\times 10^{-14})[/tex]
First steps of Iliana and Rod are given.
To find:
Which person wrote a correct possible first step.
Solution:
We have,
[tex](5.1\times 10^{-15})-(2.3\times 10^{-14})[/tex]
If we want -15 in the power of 10, then
[tex](5.1\times 10^{-15})-(2.3\times 10^{-14-1+1})[/tex]
[tex](5.1\times 10^{-15})-(2.3\times 10^{-15}\times 10)[/tex]
[tex](5.1\times 10^{-15})-(23\times 10^{-15})[/tex]
Therefore, first step of Rod is incorrect.
If we want -15 in the power of 10, then
[tex](5.1\times 10^{-15+1-1})-(2.3\times 10^{-14})[/tex]
[tex](5.1\times 10^{-14}\times 10^{-1})-(2.3\times 10^{-14})[/tex]
[tex](\dfrac{5.1}{10}\times 10^{-14})-(2.3\times 10^{-14})[/tex]
[tex](0.51\times 10^{-14})-(2.3\times 10^{-14})[/tex]
Therefore, first step of Iliana is correct.
Answer:
B "Only Iliana is correct because Rod incorrectly equated 2.3 times 10 Superscript negative 14 and 0.23 times 10 Superscript negative 15."
explanation:
