Solve the problems. 1 Complete the equations to show the relationships between the numbers. Write your answers in the blanks. $$ \begin{array}{l} 4=0,4 \times 10 \ 0.04=0.004 \times 10 \ 0.4=0.04 \times 10 \ 40=\frac{4}{4} \times 10 \end{array} $$ Fill in the numbers missing from these patterns. Write your answers in the blanks. Vultiply by 10: 0.003, $$ \qquad $$ , 0.3, $$ \qquad $$ , 30,300 ivide by 10: 800, $$ \qquad $$ , 8,0.8, 0.08, $$ \qquad $$ ich expressions are equivalent to 0.03 ? Choose all the correct answers. $$ \begin{array}{l} 0.003 \times 10 \ .3 \div 10 \ .03 \times 10 \ 03 \div 10 \end{array} $$

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### 1. Completa las ecuaciones para mostrar las relaciones entre los números.

$$
\begin{array}{l}
4 = 0.4 \times 10 \
0.04 = 0.004 \times 10 \
0.4 = 0.04 \times 10 \
40 = 4 \times 10
\end{array}
$$

**Respuestas:**
- $$4 = 0.4 \times 10$$
- $$0.04 = 0.004 \times 10$$
- $$0.4 = 0.04 \times 10$$
- $$40 = 4 \times 10$$

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### 2. Rellena los números que faltan en estos patrones.

#### Multiplicar por 10:
**Patrón:** 0.003, **0.03**, 0.3, **3**, 30, 300

**Explicación:**
- $$0.003 \times 10 = 0.03$$
- $$0.03 \times 10 = 0.3$$
- $$0.3 \times 10 = 3$$
- $$3 \times 10 = 30$$
- $$30 \times 10 = 300$$

#### Dividir por 10:
**Patrón:** 800, **80**, 8, 0.8, 0.08, **0.008**

**Explicación:**
- $$800 \div 10 = 80$$
- $$80 \div 10 = 8$$
- $$8 \div 10 = 0.8$$
- $$0.8 \div 10 = 0.08$$
- $$0.08 \div 10 = 0.008$$

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### 3. ¿Qué expresiones son equivalentes a 0.03? Elige todas las correctas.

**Expresiones dadas:**
1. $$0.003 \times 10$$
2. $$0.3 \div 10$$
3. $$0.03 \times 10$$
4. $$03 \div 10$$

**Análisis:**
1. $$0.003 \times 10 = 0.03$$ → **Correcto**
2. $$0.3 \div 10 = 0.03$$ → **Correcto**
3. $$0.03 \times 10 = 0.3$$ → Incorrecto
4. $$03 \div 10 = 3 \div 10 = 0.3$$ → Incorrecto

**Respuestas Correctas:**
- $$0.003 \times 10$$
- $$0.3 \div 10$$

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1. **Completar ecuaciones:** - $$4 = 0.4 \times 10$$ - $$0.04 = 0.004 \times 10$$ - $$0.4 = 0.04 \times 10$$ - $$40 = 4 \times 10$$ 2. **Patrones de multiplicación por 10:** - 0.003, **0.03**, 0.3, **3**, 30, 300 3. **Patrones de división por 10:** - 800, **80**, 8, 0.8, 0.08, **0.008** 4. **Expresiones equivalentes a 0.03:** - $$0.003 \times 10$$ - $$0.3 \div 10$$

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