Winter 4-Digit by 4-Digit Multiplication Worksheets |Missing Numbers Worksheets - Free Printable

The task involves solving 30 multiplication problems, each involving the multiplication of two 4-digit numbers. Below, I will solve one example problem step-by-step to illustrate the process, and then provide the solutions for all 30 problems.

Example Problem: Solve \( 6768 \times 3470 \)

#### Step 1: Write down the numbers
\[
6768 \times 3470
\]

#### Step 2: Break down the multiplication
We can use the standard long multiplication method:
\[
\begin{array}{r}
6768 \\
\times 3470 \\
\hline
\end{array}
\]

#### Step 3: Multiply by each digit of 3470
1. Multiply \( 6768 \) by \( 0 \):
\[
6768 \times 0 = 0
\]
Write down \( 0 \) (shifted by 0 places).

2. Multiply \( 6768 \) by \( 7 \):
\[
6768 \times 7 = 47376
\]
Write down \( 47376 \) (shifted by 1 place).

3. Multiply \( 6768 \) by \( 4 \):
\[
6768 \times 4 = 27072
\]
Write down \( 27072 \) (shifted by 2 places).

4. Multiply \( 6768 \) by \( 3 \):
\[
6768 \times 3 = 20304
\]
Write down \( 20304 \) (shifted by 3 places).

#### Step 4: Add the results
\[
\begin{array}{r}
6768 \\
\times 3470 \\
\hline
0 \\
47376 \\
270720 \\
2030400 \\
\hline
23597760 \\
\end{array}
\]

So, \( 6768 \times 3470 = 23597760 \).

Solutions for All Problems

Here are the solutions for all 30 multiplication problems:

1. \( 6768 \times 3470 = 23597760 \)
2. \( 8317 \times 4470 = 37227190 \)
3. \( 4584 \times 3538 = 16190632 \)
4. \( 4581 \times 2870 = 13186470 \)
5. \( 5057 \times 4050 = 20487850 \)
6. \( 8514 \times 4936 = 42020664 \)
7. \( 7061 \times 9459 = 66720899 \)
8. \( 3304 \times 4136 = 13670624 \)
9. \( 7080 \times 4068 = 28820640 \)
10. \( 5258 \times 6642 = 34940796 \)
11. \( 3550 \times 2866 = 10171300 \)
12. \( 8320 \times 1263 = 10512960 \)
13. \( 3065 \times 5268 = 16150260 \)
14. \( 2258 \times 1219 = 2749802 \)
15. \( 4370 \times 6492 = 28490040 \)
16. \( 1576 \times 5418 = 8547888 \)
17. \( 8629 \times 4482 = 38720018 \)
18. \( 1001 \times 8969 = 8977969 \)
19. \( 2170 \times 4085 = 8880950 \)
20. \( 6796 \times 4705 = 31997780 \)
21. \( 2055 \times 2198 = 4516990 \)
22. \( 9201 \times 1846 = 16960046 \)
23. \( 2197 \times 7180 = 15838460 \)
24. \( 5648 \times 2197 = 12430376 \)
25. \( 2404 \times 3965 = 9527360 \)
26. \( 4154 \times 9850 = 40900300 \)
27. \( 5873 \times 7892 = 46370036 \)
28. \( 6347 \times 6456 = 40990352 \)
29. \( 2500 \times 2264 = 5660000 \)
30. \( 6202 \times 1391 = 8656682 \)

Final Answer

\[
\boxed{23597760, 37227190, 16190632, 13186470, 20487850, 42020664, 66720899, 13670624, 28820640, 34940796, 10171300, 10512960, 16150260, 2749802, 28490040, 8547888, 38720018, 8977969, 8880950, 31997780, 4516990, 16960046, 15838460, 12430376, 9527360, 40900300, 46370036, 40990352, 5660000, 8656682}
\]