See it done a few more times
Three things to watch
- Forgetting the carry. When two neighbouring digits add to 10 or more, write the units digit and carry 1 to the next column on the left.
- Adding the wrong pairs on long numbers. Each gap is filled by its two immediate neighbours only — never skip a digit.
- Rushing the ends. The first and last digits are copied unchanged (unless a carry reaches the first digit).
Multiply each by 11
Do these in your head, then check the key.
- 26 × 11
- 53 × 11
- 81 × 11
- 44 × 11
- 72 × 11
- 35 × 11
- 63 × 11
- 90 × 11
- 17 × 11
- 58 × 11
Good to know
Does the ×11 trick work for any number of digits?
Yes. Copy the first and last digits, and fill every gap with the sum of its two neighbours, carrying whenever a sum reaches 10. It scales to 4- and 5-digit numbers with practice.
What about multiplying by 111 or 1111?
A related pattern works: each output digit sums a widening window of neighbours. Master ×11 first, then extend to ×111.
Vedic Maths — Veda Topper
Multiply Any Number by 11 — in One Line
The 11 times table is where most children first feel the magic of Vedic Maths. Instead of a full multiplication, you just drop the digits down and add the neighbours. Here is exactly how, with worked examples you can copy.
The rule
To multiply a 2-digit number by 11: keep the first and last digit, and put their sum in the middle. If that sum is 10 or more, carry the 1 to the left.
Longer numbers
For a 3-digit number, write the first and last digit, then add each pair of neighbours moving left.
Why it works
Multiplying by 11 is the same as multiplying by 10 and adding the number itself. When you line those up, each digit ends up added to its right-hand neighbour — which is exactly the "add the neighbours" rule.
1) 53 × 11 2) 26 × 11 3) 99 × 11 4) 342 × 11 5) 617 × 11
Answers: 1) 583 2) 286 3) 1089 4) 3762 5) 6787