Multiple choice

In base 5, which number is equivalent to 1000 base-10?

  1. 12444

  2. 20024

  3. 10030

  4. 13000
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

To convert 1000 from base-10 to base-5: divide repeatedly by 5. 1000 ÷ 5 = 200 remainder 0, 200 ÷ 5 = 40 remainder 0, 40 ÷ 5 = 8 remainder 0, 8 ÷ 5 = 1 remainder 3, 1 ÷ 5 = 0 remainder 1. Reading remainders bottom-to-top: 13000. Verification: 1×5⁴ + 3×5³ + 0×5² + 0×5¹ + 0×5⁰ = 625 + 375 + 0 + 0 + 0 = 1000.

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