Which equations can be represented by the model? 200 + 5. Choose all the correct answers.

The model represents the multiplication of 41 by the sum of 200 and 5. This can be written as $41 \times (200 + 5)$.
Using the distributive property, this expands to $(41 \times 200) + (41 \times 5)$.

The first part is $41 \times 200$.

The second part is $41 \times 5$.

The total product is the sum of the parts:

So, the overall multiplication represented by the model is $41 \times 205 = 8405$.

From the partial products:

• From $41 \times 200 = 8200$, we can derive: $$8200 \div 200 = 41$$ $$8200 \div 41 = 200$$
• From $41 \times 5 = 205$, we can derive: $$205 \div 5 = 41$$ $$205 \div 41 = 5$$

From the total product:

• From $41 \times 205 = 8405$, we can derive: $$8405 \div 205 = 41$$ $$8405 \div 41 = 205$$

Let's check each option:

• $8,200 \div 200 = 41$: This is derived from $41 \times 200 = 8200$. Correct.
• $205 \div 5 = 41$: This is derived from $41 \times 5 = 205$. Correct.
• $8,200 \div 41 = 200$: This is derived from $41 \times 200 = 8200$. Correct.
• $8,405 \div 205 = 41$: This is derived from $41 \times 205 = 8405$. Correct.
• $8,405 \div 41 = 205$: This is derived from $41 \times 205 = 8405$. Correct.
• $205 \div 41 = 5$: This is derived from $41 \times 5 = 205$. Correct.

All the listed equations can be represented by the model.

The correct answers are:

• $\boxed{8,200 \div 200 = 41}$
• $\boxed{205 \div 5 = 41}$
• $\boxed{8,200 \div 41 = 200}$
• $\boxed{8,405 \div 205 = 41}$
• $\boxed{8,405 \div 41 = 205}$
• $\boxed{205 \div 41 = 5}$