Given:
A music store has the following:
40 trumpets
39 clarinets
24 violins
51 flutes
16 trombones
We will write the following ratios:
trumpets to violins =
2.32 x 10⁵ = 232000
This can be solved by multiplying 2.32 to the product of 10 multiplied 5 times.
10⁵ = 10 * 10 * 10 * 10 *10
10⁵ = 100,000
2.32 x 100000 = 232000
The given equation is the standard form of a decimal number. It is used to write down a very large or very small number easily.
There are a lot of standard forms. Like: Standard form of an equation and Standard form of a polynomial.
Base 10 has the ten digits: {0, 1, 2, 3, 4, 5, 6,7, 8, 9}
Base 11 has the digits: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A} where A is treated as a single digit number
Base 12 has the digits {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B}
Base 13 has the digits: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C}
Base 14 has the digits: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D}
The digit D is the largest single digit of that last set. So the largest 3-digit base 14 integer is DDD which is the final answer
Note: It is similar to how 999 is the largest 3-digit base 10 integer
