Multiplicative Comparison Worksheets for CCSS 4.OA.2, designed for classroom use with word problems and guided learning.

It looks like you've uploaded an image of a worksheet titled "Operations & Algebraic Thinking: Multiplicative Comparison CCSS 4.OA.2", which is aligned with the Common Core State Standard for fourth-grade mathematics (CCSS.MATH.CONTENT.4.OA.A.2). This standard focuses on multiplicative comparison problems — situations where one quantity is described as being a certain number of times larger than another.

However, the actual problems on the worksheet are partially obscured or cut off, so I can't see all of them clearly. But based on what's visible in the image, I can help solve and explain the visible problems and provide guidance on how to approach multiplicative comparison problems in general.

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🔍 Visible Problems and Their Solutions:

Let’s go through each problem that appears in the image:

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#### ✔ Problem 4:
> Apple makes 500 more cellphones than Samsung.
> Given the problem above, is it a multiplication problem or an addition problem? Explain why.

Solution:

This is an addition problem, not a multiplicative comparison.

- The key phrase here is "500 more", which indicates a difference between two quantities.
- If Apple makes 500 more cellphones than Samsung, then:
- Apple = Samsung + 500
- There is no mention of "times as many" or "multiplied by", so this is not a multiplicative relationship.

✔ Answer: It is an addition problem because it involves a difference ("more than"), not a multiple.

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#### ✔ Problem 5:
> 5 × ▲ = 40
> What is the value of ▲?

Solution:

We need to find the missing factor.

- Divide both sides by 5:
$$
▲ = \frac{40}{5} = 8
$$

✔ Answer: ▲ = 8

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#### ✔ Problem 6:
> Pluto makes 2 times more dog bones than Goofy.
> Given the problem above, is it a multiplication problem or an addition problem? Explain why.

Solution:

This is a multiplication problem.

- The phrase "2 times more" means Pluto's amount is twice Goofy's amount.
- Example: If Goofy makes 10 bones, Pluto makes 2 × 10 = 20 bones.
- This is a multiplicative comparison.

⚠️ Note: Some people confuse “2 times more” with “2 more,” but in math contexts, especially at this level, “2 times more” means multiply by 2.

✔ Answer: It is a multiplication problem because it compares quantities using a multiplier (“2 times”).

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#### ✔ Problem 7:
> ▲ × 10 = 70
> What is the value of ▲?

Solution:

Divide both sides by 10:
$$
▲ = \frac{70}{10} = 7
$$

✔ Answer: ▲ = 7

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#### ✔ Problem 8:
> 9 × ▲ = 45
> What is the value of ▲?

Solution:

Divide both sides by 9:
$$
▲ = \frac{45}{9} = 5
$$

✔ Answer: ▲ = 5

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🧠 Key Concepts: Multiplicative vs. Additive Comparisons

| Type | Language Used | Example | Equation |
|------|---------------|--------|---------|
| Multiplicative | "times as many", "twice as much", "3 times more" | A has 3 times as many apples as B | A = 3 × B |
| Additive | "more than", "fewer than", "additional" | A has 5 more apples than B | A = B + 5 |

💡 Tip: Look for keywords!
- If it says "times", "multiple", "as many as", → multiplication
- If it says "more", "less", "extra" → addition

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✔ Summary of Answers:

| Problem | Answer |
|--------|--------|
| 4 | Addition problem — "500 more" means addition |
| 5 | ▲ = 8 |
| 6 | Multiplication problem — "2 times more" means multiply |
| 7 | ▲ = 7 |
| 8 | ▲ = 5 |

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If you'd like me to help with any other problems from the worksheet (e.g., the one about Kira unraveling thread), please describe them or clarify the text. I'm happy to walk through more examples!