42base5 +13base5 give the answer in base 5

Chemistry

ScanSolve AI Answer

Answer

1105110_5

Step-by-step solution

3 steps

Here's how to add the numbers in base 5:

  1. Add the digits in the units place.

    25+35=5102_5 + 3_5 = 5_{10}

    In base 5, 5105_{10} is written as 10510_5 (meaning one group of 5 and zero units). So, we write down 0 and carry over 1.

  2. Add the digits in the fives place, including the carry-over.

    45+15+15(carry-over)=6104_5 + 1_5 + 1_5 (\text{carry-over}) = 6_{10}

    In base 5, 6106_{10} is written as 11511_5 (meaning one group of 5 and one unit). So, we write down 1 and carry over 1.

  3. Since there are no more digits, the carry-over 1 becomes the next digit.

    425+1351105\begin{array}{c c} & 42_5 \\ + & 13_5 \\ \hline & 110_5 \\ \end{array}

    The sum is 1105110_5.

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