16 divided by 4+2^2x2-3

Answer 1

To solve the expression \( 16 \div 4 + 2^2 \times 2 - 3 \), we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. Exponents: Calculate \( 2^2 \). \[ 2^2 = 4 \]

2. Substitution: Replace \( 2^2 \) with \( 4 \) in the expression. \[ 16 \div 4 + 4 \times 2 - 3 \]

3. Division and Multiplication: Perform division and multiplication from left to right.

   • First, calculate \( 16 \div 4 \): \[ 16 \div 4 = 4 \]
   • Next, calculate \( 4 \times 2 \): \[ 4 \times 2 = 8 \]

4. Substitution: Replace the results back into the expression. \[ 4 + 8 - 3 \]

5. Addition and Subtraction: Perform the addition and subtraction from left to right.

   • First, calculate \( 4 + 8 \): \[ 4 + 8 = 12 \]
   • Then, calculate \( 12 - 3 \): \[ 12 - 3 = 9 \]

Thus, the final result is: \[ \boxed{9} \]