Can you work out 789 × 263 in a single line? With the Vedic Maths pattern Vertically and Crosswise, you can. This worked example uses big digits on purpose, so you can see how to handle large carries.
New to the method? Start with Vertically and Crosswise Multiplication, which explains the two-digit pattern and why it works.
Watch the video
The five steps at a glance
The steps are symmetrical: vertical, crosswise, big cross, crosswise, vertical. Work from right to left, and add each carry to the next step.
Step by step
7 8 9 × 2 6 3 -------------
| Step | Multiply and add | Total + carry | Write | Carry |
|---|---|---|---|---|
| 1. Right vertical | 9 × 3 = 27 | 27 | 7 | 2 |
| 2. Crosswise (right two columns) | 8 × 3 + 9 × 6 = 24 + 54 = 78 | 78 + 2 = 80 | 0 | 8 |
| 3. Big cross + middle vertical | 7 × 3 + 9 × 2 + 8 × 6 = 21 + 18 + 48 = 87 | 87 + 8 = 95 | 5 | 9 |
| 4. Crosswise (left two columns) | 7 × 6 + 8 × 2 = 42 + 16 = 58 | 58 + 9 = 67 | 7 | 6 |
| 5. Left vertical | 7 × 2 = 14 | 14 + 6 = 20 | 20 | — |
Reading the “Write” column from bottom to top: 789 × 263 = 207,507.
Two tips for big carries
- The last step keeps everything. There is no next place to carry into, so write the whole number — here, 20.
- Prefer to add carries at the end? Write each step’s carry in a second row, one place to the left, and add the two rows when you finish. You get the same answer — choose whichever feels easier.
Check your answer
A quick estimate catches big mistakes: 789 is about 800 and 263 is about 250, and 800 × 250 = 200,000. Our answer, 207,507, is close — so it is sensible.
Try these
1. 987 × 654 | 2. 849 × 376 |
3. 567 × 789 | 4. 999 × 999 |
Show answers
| 1. 645,498 | 2. 319,224 |
| 3. 447,363 | 4. 998,001 |
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Happy learning,
Mathsbaron
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