Solve without a calculator: 50 + 50 – 25 x 0 + 2 + 2 = ?
The Correct Answer and Explanation is:
To solve the expression ( 50 + 50 – 25 \times 0 + 2 + 2 ), we must 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)).
Step-by-step Breakdown:
- Identify Operations: The expression contains addition, subtraction, and multiplication. According to PEMDAS, we need to perform multiplication before addition and subtraction.
- Perform Multiplication: The only multiplication in the expression is ( 25 \times 0 ):
[
25 \times 0 = 0
]
Substituting this back into the expression gives us:
[
50 + 50 – 0 + 2 + 2
] - Simplify the Expression: Now, we can simplify the expression by performing the addition and subtraction from left to right:
- First, add ( 50 + 50 ):
[
50 + 50 = 100
] - The expression now reads:
[
100 – 0 + 2 + 2
] - Next, subtract ( 0 ) from ( 100 ):
[
100 – 0 = 100
] - Then, we add ( 2 + 2 ):
[
2 + 2 = 4
] - Finally, we add ( 100 + 4 ):
[
100 + 4 = 104
]
- Final Result: After following the order of operations carefully, we arrive at the final answer:
[
50 + 50 – 25 \times 0 + 2 + 2 = 104
]
Conclusion:
The final result of the expression ( 50 + 50 – 25 \times 0 + 2 + 2 ) is 104. This example demonstrates the importance of adhering to the order of operations in arithmetic to avoid errors in calculations. By simplifying the expression step by step, we can confidently arrive at the correct answer.