Answer the questions below about Line 1 and Line 2 shown below. open square bracket, left parenthesis, minus, 2, right parenthesis, plus, 4, close square bracket, plus, 3 [(−2)+4]+3 left parenthesis, minus, 2, right parenthesis, plus, open square bracket, 4, plus, 3, close square bracket (−2)+[4+3] Answer Attempt 1 out of 2 The expression was rewritten using the . open square bracket, left parenthesis, minus, 2, right parenthesis, plus, 4, close square bracket, plus, 3[(−2)+4]+3 equals plus, 3+3 which equals . left parenthesis, minus, 2, right parenthesis, plus, open square bracket, 4, plus, 3, close square bracket(−2)+[4+3] equals left parenthesis, minus, 2, right parenthesis, plus(−2)+ which equals .

1 answer

Let's break down the evaluations of both lines of expressions step by step:

Line 1: \([(−2)+4]+3\)

  1. Calculate \((-2) + 4\): \[ (-2) + 4 = 2 \]

  2. Add 3: \[ 2 + 3 = 5 \]

So, Line 1 simplifies to: \[ 5 \]

Line 2: \((-2) + [4 + 3]\)

  1. Calculate \([4 + 3]\): \[ 4 + 3 = 7 \]

  2. Add \((-2)\): \[ (-2) + 7 = 5 \]

So, Line 2 simplifies to: \[ 5 \]

Summary:

  • For Line 1: \([(−2)+4]+3 = 5\)
  • For Line 2: \((-2) + [4 + 3] = 5\)

Both expressions equal 5.

Final Answer:

The expressions were correctly simplified to \(5\) for both lines.

If there’s anything else you need help with or if you would like to clarify any steps, feel free to ask!

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