The specified blocks of flats, longs, and units represent numbers in base 10. With expanded notation using exponents, write equivalent numerals in base 10 and base 5.

Answer 1

Already then.

Let's take a simple example.

123 changing to base 5.

THe powers of 5 are:

exponent x 5^x

0 1

1 5

2 25

3 125

4 625

since 125>123, we only need three digits in base 5.

123 divided by 25 is 4 with a remainder of 23. So the first digit is 4.

23 divided by 5 is 4 with a remainder of 3. So the second digit is 4.

Then 123 base 10 is the same as 443 base 5

TO check it, since it is a 3 digit , base 5 number, we have the highest exponent of 2.

so

4 * 5^2 + 4 * 5^1 + 3 * 5^0 =

4 * 25 + 4 * 5 + 3 * 1 =

100 + 20 + 3 = 123

As an added bonus:

4321 base 5 is

4*5^3 + 3* 5^2 + 2* 5^1 + 1*5^0 =

4 * 125 + 3 * 25 + 2 * 5 + 1*1 =

500 + 75 + 10 + 1 =

586