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What is 2000 divided by 7, expressed as a mixed number and a decimal rounded to two places?

Mathematics

ScanSolve AI Answer

Answer

28557285 \frac{5}{7}

285.71

Step-by-step solution

4 steps
  1. Divide the first part of the dividend (20) by the divisor (7).

    20÷7=2 with a remainder of 620 \div 7 = 2 \text{ with a remainder of } 6

    Write 2 above the 0 in 2000. Multiply 7×2=147 \times 2 = 14 and subtract from 20.

    2007)2000‾−1400600\begin{array}{r} 2\phantom{00} \\ 7 \overline{) 2000} \\ -14\phantom{00} \\ \hline 6\phantom{00} \end{array}
  2. Bring down the next digit (0) to form 60.

    Divide 60 by 7.

    60÷7=8 with a remainder of 460 \div 7 = 8 \text{ with a remainder of } 4

    Write 8 above the next 0. Multiply 7×8=567 \times 8 = 56 and subtract from 60.

    2807)2000‾−1400600−56040\begin{array}{r} 28\phantom{0} \\ 7 \overline{) 2000} \\ -14\phantom{00} \\ \hline 60\phantom{0} \\ -56\phantom{0} \\ \hline 4\phantom{0} \end{array}
  3. Bring down the last digit (0) to form 40.

    Divide 40 by 7.

    40÷7=5 with a remainder of 540 \div 7 = 5 \text{ with a remainder of } 5

    Write 5 above the last 0. Multiply 7×5=357 \times 5 = 35 and subtract from 40.

    2857)2000‾−1400600−56040−355\begin{array}{r} 285 \\ 7 \overline{) 2000} \\ -14\phantom{00} \\ \hline 60\phantom{0} \\ -56\phantom{0} \\ \hline 40 \\ -35 \\ \hline 5 \end{array}
  4. State the quotient and remainder, and the result as a mixed number.

    The quotient is 285 and the remainder is 5.
    Therefore, 2000÷72000 \div 7 can be expressed as a mixed number or a decimal.

    20007=28557\frac{2000}{7} = 285 \frac{5}{7}

    As a decimal, rounded to two decimal places:

    28557≈285.71285 \frac{5}{7} \approx 285.71

    The exact answer is 28557\boxed{285 \frac{5}{7}} or approximately 285.71\boxed{285.71}.

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