1. To calculate $6/3+4-1$:
  1. Parentheses and fraction bars: There are none in this example.
  2. Exponents: There are none in this example.
  3. Multiplication and division: Do the single division $6/3$:
    $\color{indianred}{6/3} + 4 - 1 = 2 + 4-1$.
  4. Addition and subtraction: Do the remaining additions and subtractions from left to right:
    $\color{indianred}{2+4} - 1 = 6 - 1 = 5$.

2. To calculate $6/(4-6) \times 2 -2^3$:
  1. Parentheses and fraction bars: First calculate the value of the entire quantity in parentheses (using the the order of operations as necessary).
    $\color{indianred}{6/(4-6)} \times 2 -2^3 = 6/(-2) \times 2 -2^3$.
  2. Exponents: Raise all numbers to the indicated powers.
    $6/(-2) \times 2 -\color{indianred}{2^3} = 6/(-2) \times 2 - 8$.
  3. Multiplication and division: Do all the multiplications and divisions from left to right:
    $\color{indianred}{6/(-2)} \times 2 - 8 =\color{indianred}{-3 \times 2} - 8 = -6 - 8$.
  4. Addition and subtraction: Do the remaining additions and subtractions from left to right:
    $\color{indianred}{-6 - 8} = -14$.
Some for you

In each of the following, decide which calculation of the given expression is valid.
Note If an answer happens to be correct, it does not necesssarily mean that the calculation is valid. Do not use a calculator; using a calculator would completely defeat the purpose of these exercises.
Calculate $%0$.
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Calculate $%1$.
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Calculate $%2$.
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Calculate $%3$.
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Calculate $%4$.
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Calculate $%5$.
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Calculate $%6$.
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RANDOMIZE