Online quizzes: How to write 1,000 using same number 8 times?

Math quizzes:



Question 1: How to write 1,000 using same number 8 times? ( You can use any symbols)

Online quizzes



First of all, the answers are not unique. Here I am giving only one solution.
1000=888+88+8+8+8 😆

Now, let me ask you few more such questions.

Question 2: How to write 24 using 3 same numbers ?

Answer 1:  24=8+8+8 😎
Answer 2:  24= 22+2
Answer 3:  

Question 3: How to write 30 using three same numbers?

Answer 1:  30 = 6✕6-6
Answer 2:  30 = 5✕5+5
Answer 3:  30 = 33-3
Answer 4: 

Now, as you see few solutions are very trivial. Lets generalise this and find all the numbers that can be written using three same numbers.
Consider all the even numbers (strictly less than 10) and denote them as 2m, m belongs to natural number. So all the numbers belongs to the following sets can be written using three same numbers.
, ,...etc.
Similarly, One can generate set of numbers that can be written using three same numbers using odd numbers (strictly less than 10) denoted by 2m+1
, ,... etc.

Please feel free to comment, if you have any other solutions in your mind.

I think we understood the main idea. Now  answer the following question as exercise.

Question 1: How to write 2 using three same numbers?
Question 2: How to write 0 using three same numbers?
Question 3: List all the numbers below 10, that can be written using three same numbers.


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