What is the correct sequence of operations when solving for -1/8 * 35 * 7?

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To solve the expression -1/8 * 35 * 7, it’s important to follow the correct sequence of operations known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). However, since this expression only involves multiplication, we can directly proceed with the calculations in a left-to-right manner.

Here’s a step-by-step breakdown:

  1. Multiply -1/8 by 35:

    2. First, we multiply the fraction -1/8 by the whole number 35. This can be done by converting 35 into a fraction, which is 35/1. So:

    -1/8 * 35/1 = -35/8

  2. Now, multiply -35/8 by 7:

    3. Next, we take the result of the first multiplication and multiply it by 7:

    -35/8 * 7/1 = -245/8

  3. Final Result:

    4. The expression simplifies to:

    -245/8

    To convert this to a mixed number, we can find how many times 8 fits into 245. This gives us:

    -30 5/8

In summary, the correct sequence of operations involves:

  • Multiplying -1/8 by 35
  • Then, taking that result and multiplying by 7

The final answer is -245/8 or -30 5/8.

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