Matchstick Puzzle: Fix 7 + 1 = 0

The equation reads 7 + 1 = 0.
Move exactly one match to make it true.
💡 Hint

Subtract a number from itself.

Reveal answer

Take the vertical match out of the plus sign and lay it across the top of the 1 to make a 7. The equation becomes 7 − 7 = 0.

A 7 on a digital display is just a 1 with a bar on top. The plus sign gives up its vertical stick, which turns it into a minus, and that stick becomes the top bar of the new 7. Any number minus itself is zero, so 7 − 7 = 0 is correct. A full computer search of single moves found no other solution.

Did you know?This one is rated medium because it needs two ideas at once: changing the operator and building a new digit. Puzzle designers like zero answers because people tend to think of zero as “nothing to work with,” when actually it’s one of the easiest results to create.

About This Puzzle

This equation looks hopeless: how can anything plus something equal zero? With only one move allowed, you’ll need to rethink both a digit and the sign.

How to Think About It

To get zero, the most natural equation is a number minus itself. You already have a 7 on the left. Could the 1 become another 7? Count how many matches each digit uses: a 1 uses two, and a 7 uses three. Where can you find one spare match?

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