"When something does not fit in the space given, it does not vanish — it overflows, and changes what came before."
When Eleven Overflows
When you multiply a two-digit number by 11 and the digits add up to more than 9, the trick still works — but the extra digit carries left, just like in regular addition.
85 × 11
Step 1: Add the digits: 8 + 5 = 13
Step 2: The 3 goes between the digits
Step 3: The 1 carries left — 8 becomes 9
Result:935
+189
133
5
78 × 11
Step 1: Add the digits: 7 + 8 = 15
Step 2: The 5 goes between the digits
Step 3: The 1 carries left — 7 becomes 8
Result:858
+178
155
8
Now you try. Remember to carry when the digits add past nine.
67 × 11 =
94 × 11 =
56 × 11 =
88 × 11 =
Insight
When the digits overflow past nine, the extra carries left — just like in addition. The trick still works, it just ripples forward.