Convert the base 10 numeral to a numeral in the base indicated.
-503 to base 5
A) $4003_5$
B)$ 3004_5$
C) $3040_5$
D) $4030_5$

Question

Quizplus · Accepted Answer

To convert 503 to base 5, divide 503 by increasing powers of 5 and find the remainders. Starting with $503 ÷ 5^3 = 503 ÷ 125 = 4$ remainder 3, then $3 ÷ 5^2 = 3 ÷ 25 = 0$ remainder 3, then $3 ÷ 5 = 0$ remainder 3, and finally $3 ÷ 1 = 3$. Thus, the base 5 representation is $4003_5$.

Convert the Base 10 Numeral to a Numeral in the Base