What are the base-five numbers for the base-ten counting numbers 1 to 26?
To convert base-ten counting numbers to base-five, you need to divide the given number by the base (which is five) and note the remainders. Here's how you can find the base-five representation for the numbers 1 to 26:
1. To convert the number 1 to base-five: Divide 1 by 5. The quotient is 0 with a remainder of 1. So, the base-five representation of 1 is simply 1.
2. To convert the number 2 to base-five: Again, divide 2 by 5. The quotient is 0 with a remainder of 2. So, the base-five representation of 2 is also 2.
3. Continue this process for the remaining numbers until you reach 26.
Here are the base-five representations for the numbers 1 to 26:
1, 2, 3, 4, 10, 11, 12, 13, 14, 20, 21, 22, 23, 24, 30, 31, 32, 33, 34, 40, 41, 42, 43, 44, 100, and 101.
Note: In base-five, the place values are as follows: ones, fives, twenty-fives, etc.