Inder J. TanejaRecreational Mathematics1 to 1,000,000

Expressions with repeated digits

Single Digit Representations Generator-2

1 to 1,000,000 Natural Numbers

One number, expressed using each digit from 1 to 9. Explore the verified collection.

12

Using digits 1 through 9, in order

9 expressions
=1+11
=2*(2+2+2)
=3+3*3
=4+4+4
=(5+55)/5
=6+6
=(7+77)/7
=(8+88)/8
=(9+99)/9
^

Reading the expressions
^ means “raised to a power”. For example, 2 ^ 3 = 8. Repeated digits such as 11 are joined to form one number.

About the collection

Each expression uses only its selected digit, together with arithmetic operations, powers and joined digits. All nine million expressions were checked with exact arithmetic. Necessary brackets have been retained.