Respuesta :

Answer:

-1

Step-by-step explanation:

The order of operation (PEMDAS) states that:

  • P - Parenthesis
  • E - Exponents
  • M - Multiplication
  • D - Division
  • A - Addition
  • S - Subtraction

Given expression:

  • [{(-6) + 7 - 3} x 2] ÷ 4

We can see that "-6" is the integer that is inside the parenthesis "( )". Therefore, we can open the parenthesis "( )".

  • ⇒ [{-6 + 7 - 3} x 2] ÷ 4

Simplify the expression inside the curvy brackets "{ }" using PEMDAS.

  • ⇒ [{1 - 3} x 2] ÷ 4                     [PEMDAS]
  • ⇒ [{-2} x 2] ÷ 4                         [PEMDAS]

Now we can open the curvy brackets "{ }".      

  • ⇒ [-2 x 2] ÷ 4      

Simplify the expression inside the long brackets "[ ]" using PEMDAS.

  • ⇒ [-4] ÷ 4      

Finally, open the long brackets "[ ]" and simplify the expression obtained.

  • ⇒ -4 ÷ 4  
  • ⇒ -1

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