https://file.aiquickdraw.com/mathbot/file/1729625424581lnq035gq.jpg

The question in the image asks: **"Which of the following uses properties of operations to help find 49 × 21?"** 

The options given are:
1. \( 4 \times 9 \times 2 \times 1 \)
2. \( (40 + 9) \times (20 + 1) \)
3. \( 49 + 21 \)
4. \( 40 \times 9 \times 20 \times 1 \)

The second option, **\( (40 + 9) \times (20 + 1) \)**, correctly uses the **distributive property** to break down \(49\) into \(40 + 9\) and \(21\) into \(20 + 1\), making the multiplication easier by splitting it into smaller, more manageable parts. 

The other choices do not apply this property correctly:
- Option 1 uses incorrect values (not related to breaking 49 or 21).
- Option 3 uses addition instead of multiplication.
- Option 4 introduces unnecessary factors that aren't related to breaking down 49 or 21.

Would you like more details about how the distributive property works or how to use it effectively?

Here are five follow-up questions you might find interesting:
1. How does the distributive property help simplify multiplication problems?
2. Can the distributive property be used for division?
3. What are other properties of operations that help simplify expressions?
4. What are some real-world examples where breaking numbers apart makes multiplication easier?
5. How can we apply the distributive property to solve algebraic expressions?

**Tip:** When multiplying large numbers, breaking them down into smaller components using the distributive property can make the calculation much easier.

Which of the following uses properties of operations to help find 49 × 21?

Learn how to apply the distributive property to simplify the multiplication of 49 × 21. This problem explores how breaking down numbers using properties of operations helps make multiplication easier for Grade 4 students.

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