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Divide the base 10 number by the new base (3) and record the remainder.

Chemistry

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Answer

B

Step-by-step solution

6 steps

  1. Divide the base 10 number by the new base (3) and record the remainder.

    135÷3=45 remainder 0135 \div 3 = 45 \text{ remainder } 0

  2. Continue dividing the quotient by the new base (3) and record the remainder.

    45÷3=15 remainder 045 \div 3 = 15 \text{ remainder } 0

  3. Repeat the process.

    15÷3=5 remainder 015 \div 3 = 5 \text{ remainder } 0

  4. Repeat the process.

    5÷3=1 remainder 25 \div 3 = 1 \text{ remainder } 2

  5. Repeat the process until the quotient is 0.

    1÷3=0 remainder 11 \div 3 = 0 \text{ remainder } 1

  6. Read the remainders from bottom to top to get the number in base three.

    The remainders are 1,2,0,0,01, 2, 0, 0, 0.
    So, 135ten=12000three135_{\text{ten}} = 12000_{\text{three}}.

    The correct option is (b).

    12000three\boxed{12000_{\text{three}}}

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