Final answer:
The mathematical expression 200 ÷ 4 + 50 - 90 ÷ 3 - 20 + 7 × 2 equals 64 when solved using the correct order of operations (PEMDAS).
Step-by-step explanation:
The question requires you to solve the mathematical expression: 200 ÷ 4 + 50 - 90 ÷ 3 - 20 + 7 × 2 taking into account the rules of 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)).
Following PEMDAS, your first step is to do the multiplication and division from left to right. This gives you: 50 + 50 - 30 - 20 + 14 = 64.
Then, you move from left to right doing addition and subtraction sequentially to finally get the result of 64.
Learn more about Order of Operations