Comparison of two math worksheets for 4-digit by 1-digit multiplication using the area model, showing alignment with standard 4.NBT.B.5.

You're looking at two versions of the same math worksheet — one labeled “Standard Not Listed” (left) and the other “Standard Listed” (right). The key difference is that the version on the right includes the Common Core State Standard: `4.NBT.B.5`, which is explicitly circled.

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✔ What is 4.NBT.B.5?

This is a 4th-grade Common Core Math Standard that states:

> Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

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🧩 How This Worksheet Applies 4.NBT.B.5

The worksheet asks students to solve 4-digit × 1-digit multiplication problems using an area model — which is exactly what the standard requires.

Let’s walk through Problem #1 as an example:

> 6,257 × 4 = ?

#### Step 1: Break down the 4-digit number by place value
6,257 = 6,000 + 200 + 50 + 7

#### Step 2: Multiply each part by 4 (using the distributive property)
- 6,000 × 4 = 24,000
- 200 × 4 = 800
- 50 × 4 = 200
- 7 × 4 = 28

*(Note: In the image, the last box for 7×4=28 is missing — likely an error or space issue in the worksheet.)*

#### Step 3: Add the partial products
24,000 + 800 + 200 + 28 = 25,028

✔ So, 6,257 × 4 = 25,028

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🔍 Why Is Listing the Standard Important?

Including 4.NBT.B.5 on the worksheet helps:

- Teachers align instruction with curriculum standards.
- Parents & Students understand *why* they’re learning this method (not just “how”).
- Administrators & Assessors verify that lessons meet educational benchmarks.
- Educational Resources are easily searchable and categorized by standard.

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📝 Solving the Rest of the Problems (Using Area Model)

Here’s how to solve the remaining problems using the same method:

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2. 5,702 × 6

Breakdown: 5,000 + 700 + 0 + 2
→ 5,000×6 = 30,000
→ 700×6 = 4,200
→ 0×6 = 0
→ 2×6 = 12
Total = 30,000 + 4,200 + 0 + 12 = 34,212

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3. 8,679 × 2

Breakdown: 8,000 + 600 + 70 + 9
→ 8,000×2 = 16,000
→ 600×2 = 1,200
→ 70×2 = 140
→ 9×2 = 18
Total = 16,000 + 1,200 + 140 + 18 = 17,358

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4. 3,562 × 8

Breakdown: 3,000 + 500 + 60 + 2
→ 3,000×8 = 24,000
→ 500×8 = 4,000
→ 60×8 = 480
→ 2×8 = 16
Total = 24,000 + 4,000 + 480 + 16 = 28,496

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5. 1,964 × 3

Breakdown: 1,000 + 900 + 60 + 4
→ 1,000×3 = 3,000
→ 900×3 = 2,700
→ 60×3 = 180
→ 4×3 = 12
Total = 3,000 + 2,700 + 180 + 12 = 5,892

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6. 9,416 × 7

Breakdown: 9,000 + 400 + 10 + 6
→ 9,000×7 = 63,000
→ 400×7 = 2,800
→ 10×7 = 70
→ 6×7 = 42
Total = 63,000 + 2,800 + 70 + 42 = 65,912

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7. 4,836 × 5

Breakdown: 4,000 + 800 + 30 + 6
→ 4,000×5 = 20,000
→ 800×5 = 4,000
→ 30×5 = 150
→ 6×5 = 30
Total = 20,000 + 4,000 + 150 + 30 = 24,180

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8. 2,543 × 9

Breakdown: 2,000 + 500 + 40 + 3
→ 2,000×9 = 18,000
→ 500×9 = 4,500
→ 40×9 = 360
→ 3×9 = 27
Total = 18,000 + 4,500 + 360 + 27 = 22,887

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✔ Final Answers Summary:

| Problem | Answer |
|---------|------------|
| 1. 6,257 × 4 | 25,028 |
| 2. 5,702 × 6 | 34,212 |
| 3. 8,679 × 2 | 17,358 |
| 4. 3,562 × 8 | 28,496 |
| 5. 1,964 × 3 | 5,892 |
| 6. 9,416 × 7 | 65,912 |
| 7. 4,836 × 5 | 24,180 |
| 8. 2,543 × 9 | 22,887 |

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🎯 Conclusion

The worksheet teaches multi-digit multiplication using the area model, directly aligned with Common Core Standard 4.NBT.B.5. Including the standard (as in the right version) makes it clear that this isn’t just rote practice — it’s building conceptual understanding of place value and multiplication strategies.

If you’re a teacher or parent, always look for standards like this — they ensure students are learning in a way that builds deep mathematical reasoning!

Let me know if you want printable answer keys or editable versions! 😊