Which Combination?

I've always enjoyed tackling math puzzles that challenge conventional thinking, and the 3×3=36 puzzle is a great example. At first glance, it seems impossible since 3 multiplied by 3 is 9, not 36. However, the trick is to think beyond standard arithmetic and consider inserting different mathematical symbols or numbers. One common approach is to insert an exponent or factorial symbol. For instance, 3 to the power of 3 equals 27, which still isn't 36. But if you write it as (3+3)×3 = 36, it becomes true: adding the first two numbers and then multiplying by the third gives the right result. Alternatively, using factorials, 3×3! = 3×6 = 18, which is closer but not 36, so you might try different combinations. This puzzle encourages creative math thinking and symbol placement. It's excellent for students because it reinforces understanding of operations, order, and properties of numbers in a fun and engaging way. When I tried similar puzzles, they improved my flexible thinking and comfort with using mathematical operators in diverse ways. If you're a teacher or parent, presenting this puzzle can stimulate curiosity and group discussion among students. You can prompt them to experiment with different symbols like addition (+), subtraction (−), multiplication (×), division (÷), exponents (^), or factorial (!), turning learning into an exciting challenge. Plus, solving these puzzles helps build perseverance as students test various combinations to find the correct one. Overall, this kind of brainteaser strengthens mathematical intuition, promotes problem-solving skills, and adds enjoyment to math learning. Try it yourself or with your learners for a refreshing way to engage with numbers beyond textbook exercises.