Introduction This year, we can celebrate two “Twosdays”, on 2/2/22 and 22/2/22 (which also happens to be a Tuesday)! A great occasion for you to explore this puzzle with your students: Can you create different integers (whole numbers) using just 2s and different mathematical operations? You can combine 2s to create longer numbers like 22, and you can also use any other mathematical operations. Here are a few examples: 3 = 2 + 2 2 3=2+\frac{2}{2} 3 = 2 + 2 2 11 = 22 2 11=\frac{22}{2} 11 = 2 22 100 = ( 2 ⋅ 2 ⋅ 2 + 2 ) 2 100=\left(2\cdot2\cdot2+2\right)^{2} 100 = ( 2 ⋅ 2 ⋅ 2 + 2 ) 2 5000 = ( ( 2 ⋅ 2 ⋅ 2 + 2 ) ( 2 + 2 ) ) 2 5000=\frac{\left(\left(2\cdot2\cdot2+2\right)^{\left(2+2\right)}\right)}{2} 5000 = 2 ( ( 2 ⋅ 2 ⋅ 2 + 2 ) ( 2 + 2 ) ) Share your answers and results with us on social media ! Ideas to Consider Depending upon the age of your students, consider some of the following: Create each integer using as few 2s as possible. Create a single inte...
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