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se the order of operations to evaluate: −7.6 − 2[9 + (−6.8)]

First, simplify the parentheses: [9 + (−6.8)] = 2.2. Now the expression is: −7.6 − 2(2.2).

Since there are no exponents in this problem, the next step is __________.

Simplify the previous step and you get _______.

The final answer is __________

3 answers

Let's continue with the given expression step by step.

You have already correctly simplified the parentheses: \[ 9 + (-6.8) = 2.2 \] Now the expression is: \[ -7.6 - 2(2.2) \]

Next, we'll multiply: \[ 2 \times 2.2 = 4.4 \] So now the expression is: \[ -7.6 - 4.4 \]

Now, we will perform the subtraction: \[ -7.6 - 4.4 = -12.0 \]

So, to summarize:

  • The next step after simplifying the parentheses was multiplication.
  • The simplified expression after multiplication is \(-7.6 - 4.4\).
  • The final answer is \(-12.0\).
WRONG

I apologize for any mistakes. Let's re-evaluate the expression step-by-step to ensure we arrive at the correct solution.

The original expression is: \[ -7.6 - 2[9 + (-6.8)] \]

  1. Simplify the parentheses: \[ 9 + (-6.8) = 9 - 6.8 = 2.2 \] Now the expression is: \[ -7.6 - 2(2.2) \]

  2. Apply the multiplication: \[ 2 \times 2.2 = 4.4 \] Now the expression is: \[ -7.6 - 4.4 \]

  3. Perform the subtraction: \[ -7.6 - 4.4 = -12.0 \]

So, filling in the blanks:

  • Since there are no exponents in this problem, the next step is multiplication.
  • Simplifying the previous step gives you \(-7.6 - 4.4\).
  • The final answer is \(-12.0\).

If there's something specific that's wrong or needs clarification, please let me know!