Welcome to Math Monday.Â (No, it's not a regular feature; I just felt numerical today.) I should know better than to give you an open-ended puzzle to begin the week... You'll never get any work done. Ah, well.
Many numbers canÂ be represented by using the same digit three times in an equation. For instance, the number 4 can be shown as:
(3 / 3) + 3 = 4
4 + 4 - 4Â = 4
5 - (5 / 5) = 4
âˆš9 + (9 / 9) = 4
The solution to eachÂ of those equationsÂ is 4. With that example in mind...
How many different ways can you represent the number 24 in an equation byÂ repeatingÂ the sameÂ digit THREE times (as shown in the example above)? I found THREE ways. Can you find those? OrÂ others?
Here are myÂ ANSWERS.
THE THREE I FOUND:
22 + 2 = 24
3Â³ - 3 = 24
8 + 8 + 8Â = 24
You can reverseÂ some equationsÂ (like saying 2+22 instead of 22+2). Beyond that, are there any other possible equations that represent 24? If you find one, please post it in the comments!