Question

Add 1487 base nine and 3825 base nine.

Answer 1

To add 1487 and 3825 in base nine, you perform addition from right to left, carrying over when the sum of a column equals or exceeds 9. The process results in a sum of 5423 in base nine.

Step-by-step explanation:

Adding two numbers in base nine involves the same process as adding in base ten, but with a crucial difference: you can only use digits 0-8, and whenever a sum in a single column is 9 or higher, you carry over just as you would when reaching 10 in base ten.

Here is how you can add 1487 and 3825 in base nine:

• Start with the rightmost digit (units). 7 + 5 equals 12 in base nine, so write down 3 (12 - 9 = 3) and carry over 1.
• Next, add the tens: 8 + 2 plus the carryover 1 equals 11 in base nine. Write down 2 and carry over 1.
• Now add the hundreds: 4 + 8 plus the carryover 1 equals 13 in base nine. Write down 4 and carry over 1.
• Finally, add the thousands: 1 + 3 plus the carryover 1 equals 5 in base nine. So write the 5.

The final result is 5423 in base nine.