Multiplication (Vertical) Worksheet Download - Free Printable

You've uploaded a multiplication worksheet titled “Multiplication (Vertical)” with 20 problems. Each problem shows a two-digit by two-digit multiplication done vertically, including the partial products and the final sum. The right column is labeled “Answers” and contains the correct final answers for each problem — this is the Answer Key.

Since you asked to “solve the problem and explain the solution,” I’ll assume you want me to:

✔ Verify that the given answers are correct
✔ Explain how vertical multiplication works using one or more examples

---

## ✔ OVERALL VERIFICATION

All 20 problems on this worksheet have been solved correctly according to standard multiplication algorithms. The partial products and final sums match the expected results.

---

## 🧮 HOW VERTICAL MULTIPLICATION WORKS (Step-by-Step Explanation)

Let’s take Problem 1 as an example:

```
43
× 12
-----
86 ← 43 × 2
+ 430 ← 43 × 10 (note: the 1 in 12 is in the tens place)
-----
516 ← Final answer
```

Step 1: Multiply the top number by the ones digit of the bottom number.

→ 43 × 2 = 86 → write it down aligned under the ones place.

Step 2: Multiply the top number by the tens digit of the bottom number.

→ 43 × 1 = 43 → but since this 1 is actually “10”, we shift the result one place to the left → so write it as 430.

Step 3: Add the partial products.

→ 86 + 430 = 516

✔ Matches the answer key!

---

## 🔍 Let’s Check One More: Problem 3 — 85 × 43

```
85
× 43
-----
255 ← 85 × 3
+3400 ← 85 × 40 (shifted left one place)
-----
3655 ← Final answer
```

Breakdown:
- 85 × 3 = 255
- 85 × 40 = 3,400 (because 4 is in the tens place → multiply by 40, not 4)
- 255 + 3,400 = 3,655 → matches answer key.

---

## 💡 KEY POINTS TO REMEMBER

1. Place Value Matters: When multiplying by the tens digit, you’re really multiplying by 10× that digit → so shift the partial product one place to the left (add a zero at the end).
2. Align Partial Products Correctly: Always line up the digits by place value before adding.
3. Double-check Addition: Many errors occur when adding the partial products — make sure to carry over correctly.

---

## 📊 QUICK CHECK OF ALL ANSWERS

| Problem | Your Answer | Correct? |
|---------|-------------|----------|
| 1 | 516 | ✔ |
| 2 | 5,238 | ✔ |
| 3 | 3,655 | ✔ |
| 4 | 6,958 | ✔ |
| 5 | 1,960 | ✔ |
| 6 | 5,760 | ✔ |
| 7 | 4,680 | ✔ |
| 8 | 6,160 | ✔ |
| 9 | 368 | ✔ |
| 10 | 1,020 | ✔ |
| 11 | 1,104 | ✔ |
| 12 | 3,913 | ✔ |
| 13 | 4,725 | ✔ |
| 14 | 5,820 | ✔ |
| 15 | 1,729 | ✔ |
| 16 | 3,080 | ✔ |
| 17 | 4,785 | ✔ |
| 18 | 2,052 | ✔ |
| 19 | 891 | ✔ |
| 20 | 845 | ✔ |

✔ All answers are correct.

---

## 🎯 FINAL SUMMARY

This worksheet is designed to help students practice two-digit by two-digit multiplication using the vertical algorithm, which emphasizes:

- Understanding place value
- Calculating partial products
- Adding them accurately

The provided answer key is accurate, and every problem was solved correctly using proper multiplication steps.

If you’d like me to walk through any specific problem in more detail — just ask! 😊