Question

Can someone help me with this? i tried but it doesn’t give me a right answer.

Answer 1

Answer: 3843 base 9 which is choice C

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Step-by-step explanation:

The idea is to repeatedly divide by 9 to find the quotient & remainder pairs. Each quotient is then the numerator of the next fraction. We stop the process once we arrive to a quotient of 0.

This is what that process looks like. The remainders are highlighted in bold.

2874/9 = 319 remainder 3

319/9 = 35 remainder 4

35/9 = 3 remainder 8

3/9 = 0 remainder 3

Read the remainders in reverse to form the answer 3843 base 9

Notice in the steps above that each quotient is then treated as the numerator for the next line. Eg: the quotient 319 is the numerator for the next fraction down 319/9. Each time we divide over 9 which is the base we wish to convert to.

Be careful not to read the remainders from the top down. The answer is NOT 3483, which means choice B is a trick answer.

Answer 2

3843

Step-by-step explanation:

To convert 2874 to base 9, we need to divide by 9 as follows:

So, the remainder is 3 and the quotient is 319. Then, divide 319 again by 9

Then, the remainder is 4 and the quotient 35. Finally, we divide 35 by 9 to get the remainder 8 and quotient 3.

Therefore, the number in base 9 will be

3843

We start by the last quotient which is 3 and then we type the remainders from last to first, so they are 8, 4, and 4.

Therefore, the answer is

3843 in base 9.