Visual explanation of solving a multiplicative comparison problem using bar models.

Let's solve the multiplicative comparison problem using bar models, as shown in the image.

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🔍 Problem:

> What number is 6 times as many as 5?

This is a multiplicative comparison problem. We are comparing one quantity to another by multiplying.

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🧩 Step-by-Step Solution Using Bar Models:

#### 1. Understand the bar model:

- The small blue bar represents the number 5.
- The longer bar below is made up of six segments, each labeled 5.
- This shows that we are taking the value 5 and repeating it 6 times.

So, the longer bar represents:
> 5 + 5 + 5 + 5 + 5 + 5

Or more simply:
> 6 × 5

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#### 2. Calculate the total:

$$
6 \times 5 = 30
$$

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✔ Final Answer:

> 30 is 6 times as many as 5.

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💡 How Bar Models Help:

Bar models visually show the relationship between quantities. In multiplicative comparisons:
- One bar (the smaller one) represents the unit amount (here, 5).
- The other bar is 6 times longer, showing 6 groups of 5.
- This makes multiplication intuitive — you can see how many times bigger one quantity is than another.

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📌 Summary:

To solve a multiplicative comparison problem using bar models:
1. Draw a bar for the known quantity (e.g., 5).
2. Draw a longer bar divided into equal parts, showing how many times bigger it is (here, 6 parts of 5).
3. Multiply: $6 \times 5 = 30$.
4. Answer: 30.

✔ So, the number that is 6 times as many as 5 is 30.