Certainly! Let's go through the steps to understand the numerical representations and their justifications.
### Step-by-Step Solution
#### Step 1: Identification of Correct and Incorrect Numerical Representations
In Step 1, we are assessing whether the numerical values presented are correctly represented as significant figures between 1 and 10.
- Value 1: 1.67248
- Justification: This value is indeed correct because it falls between 1 and 10, which is the requirement for representing numbers in scientific notation or when dealing with significant figures. Here is the complete reasoning provided:
> "Correcto; Porque la expresión numérica se represento como el valor de un número significativo comprendido entre 1 y 10."
- Value 2: 16.7248
- Justification: This value is incorrect because it does not meet the criteria of being a significant number between 1 and 10. Specifically, 16.7248 is greater than 10, which disqualifies it from being correctly formed in this context. Here is the explanation provided:
> "Incorrecto: Porque la expresión numérica no se represento como el valor de un número significativo comprendido entre 1 y 10."
#### Step 2: Numerical Value in Scientific Notation
Next, we are given a numerical value in scientific notation:
- Value: [tex]\(1.67248 \times 10^{-27}\)[/tex]
This value correctly represents the number [tex]\(1.67248\)[/tex] scaled by a factor of [tex]\(10^{-27}\)[/tex]. Scientific notation ensures that the significant figure remains between 1 and 10, hence confirming the correctness of this representation.
#### Summary of Values and Justifications
Here is a summary of the values and their justifications:
- Correct Representation:
- Value: 1.67248
- Justification: "Correcto; Porque la expresión numérica se represento como el valor de un número significativo comprendido entre 1 y 10."
- Incorrect Representation:
- Value: 16.7248
- Justification: "Incorrecto: Porque la expresión numérica no se represento como el valor de un número significativo comprendido entre 1 y 10."
- Scientific Notation:
- Value: [tex]\(1.67248 \times 10^{-27}\)[/tex]
By adhering to these principles, we ensure the clarity and correctness of numerical representations in both common and scientific notation forms.
