3 Digit by 2 Digit Multiplication Worksheet -#4 ... - Free Printable

Sure! You’ve uploaded a multiplication worksheet titled “Multiple of 3-digit with 2-digit numbers”. This is a standard elementary math practice sheet where students multiply 3-digit numbers by 2-digit numbers using the traditional algorithm (or other methods like area model or partial products).

Since you asked to “solve the problem and explain the solution,” I’ll solve all 20 multiplication problems on the worksheet and provide a clear, step-by-step explanation for one example, then list all answers.

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## ✔ Step-by-Step Example: Solve `133 × 56`

We’ll use the standard multiplication algorithm.

Step 1: Multiply 133 by 6 (the ones digit of 56)

```
133
× 56
-----
798 ← 133 × 6 = 798
```

Step 2: Multiply 133 by 50 (the tens digit — remember to shift one place left)

```
133
× 56
-----
798
6650 ← 133 × 50 = 6650 (note the zero placeholder)
```

Step 3: Add the two partial products

```
798
+6650
------
7448
```

✔ So, 133 × 56 = 7,448

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## 📋 All Answers (Solved)

Here are the solutions to all 20 problems on the worksheet:

| Problem | Answer |
|-----------------|------------|
| 133 × 56 | 7,448 |
| 122 × 67 | 8,174 |
| 135 × 51 | 6,885 |
| 124 × 55 | 6,820 |
| 132 × 36 | 4,752 |
| 144 × 52 | 7,488 |
| 151 × 37 | 5,587 |
| 152 × 32 | 4,864 |
| 153 × 34 | 5,202 |
| 162 × 11 | 1,782 |
| 167 × 12 | 2,004 |
| 163 × 12 | 1,956 |
| 166 × 24 | 3,984 |
| 165 × 34 | 5,610 |
| 165 × 24 | 3,960 |
| 151 × 34 | 5,134 |
| 144 × 35 | 5,040 |
| 166 × 35 | 5,810 |
| 163 × 36 | 5,868 |
| 153 × 26 | 3,978 |

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## 🧠 Teaching Tip / Explanation for Students

When multiplying a 3-digit number by a 2-digit number:

1. Multiply the 3-digit number by the ones digit of the 2-digit number.
2. Multiply the 3-digit number by the tens digit — but remember to write this result one place to the left (add a zero at the end, or think of it as multiplying by 10).
3. Add the two results together.

Example:
`133 × 56 = 133 × (50 + 6) = (133 × 50) + (133 × 6)`

This is called the Distributive Property — very useful for understanding why the algorithm works!

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## ✍️ How to Use This Worksheet

- Students should show their work (step-by-step multiplication) in the blank lines provided.
- Teachers/parents can check answers using the table above.
- Encourage checking with a calculator or estimation (e.g., 130 × 60 ≈ 7,800 → close to 7,448? Yes, reasonable!).

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✔ Final Note: All answers have been double-checked for accuracy. You can print this list or copy it into a digital document to grade or review.

Let me know if you’d like a printable answer key or want to see how to solve any specific problem visually! 😊