2 years ago

Write the next whole number after 6748nine in the base-nine system.

Mathematics

1 answer:

ale4655 [162]2 years ago

7 0

Answer:

Step-by-step explanation:

$6748_9 = 6 *(9^3) + 7 * 9^2 + 4 * 9^1 + 8 * 9 ^ 0 = 4994_{10}$

Hence, on base 10, the next whole number is 4995 and if we convert back to base 9, we will have

$6* 9^3 + 7*9^2 + 5*9*1 = 4374 + 576+45 = 4995_{10}$

Therefore, the number on base 9 will be 6750

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