https://r2.erweima.ai/mathbot/image/1724898251394q3fpo6ow.jpg

It seems that the text extraction from the image wasn't successful. Let me analyze the image visually and solve the problem for you.

The image provides four statements related to percentage calculations, where we need to mark each one as true (V) or false (F). I'll go through each statement and determine its correctness.

### Statements Analysis:

1. **El 25% de 200 es 50**
   - Calculation: \( 25\% \times 200 = 0.25 \times 200 = 50 \)
   - **Verdadero (V)**

2. **14 es el 10% de 140**
   - Calculation: \( 10\% \times 140 = 0.10 \times 140 = 14 \)
   - **Verdadero (V)**

3. **50% de 400 es igual a 400**
   - Calculation: \( 50\% \times 400 = 0.50 \times 400 = 200 \)
   - The statement says it is equal to 400, which is **incorrect**.
   - **Falso (F)**

4. **El 20% de 100 es 20 más 20% de 50**
   - Calculation:
     - \( 20\% \times 100 = 0.20 \times 100 = 20 \)
     - \( 20\% \times 50 = 0.20 \times 50 = 10 \)
     - \( 20 + 10 = 30 \)
   - The statement implies \( 20 + 10 \) but says 20. Hence, it is **incorrect**.
   - **Falso (F)**

### Correct Answers:
- **I. (V)**
- **II. (V)**
- **III. (F)**
- **IV. (F)**

Would you like further explanation on any of these? 

---

1. ¿Qué significa el 50% en términos matemáticos?
2. Si \( 10\% \) de un número es 14, ¿cuál es el número original?
3. ¿Cómo se calcula rápidamente el 20% de cualquier cantidad?
4. ¿Por qué el 50% de 400 no puede ser igual a 400?
5. ¿Qué otras operaciones se pueden hacer para verificar el cálculo de porcentajes?

**Tip:** Siempre verifica los cálculos de porcentaje multiplicando el valor por el decimal correspondiente al porcentaje (por ejemplo, \(20\%\) es \(0.20\)).

Explore percentage calculations through a detailed analysis of statements with true and false answers. This problem involves mathematical concepts such as calculating percentages and verifying statements. Suitable for Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation