2 + (2 X 2) + 2 =
The answer to the expression 2 + (2 × 2) + 2 is 8.
The mathematical expression should be solved according to 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).
This is the correct answer. In the given expression, the operation inside the parentheses (2 × 2) is done first according to PEMDAS, resulting in 4. Then, the addition is carried out: 2 + 4 + 2, which equals 8.
This answer would result from a misunderstanding of the order of operations. If the operations are carried out from left to right, without considering the parentheses, one might calculate: 2 + 2 = 4, then 4 × 2 = 8, and finally 8 + 2 = 10. But this does not respect the order of operations, which demands multiplication and division be done before addition and subtraction.
This answer might result from adding all the numbers in the expression together before carrying out the multiplication operation. This would result in 2 + 2 + 2 + 2 = 8, and then 8 × 2 = 16. This also violates the order of operations.
This answer could result from erroneously multiplying all the numbers in the expression, which would lead to 2 × 2 × 2 × 2 = 16. However, the addition signs in the expression cannot be ignored.
The correct answer is obtained by following the order of operations, which prioritizes the operation inside the parentheses first. This results in a multiplication operation of 2 × 2 yielding 4, and then adding the remaining numbers: 2 + 4 + 2 = 8. The other options could result from misunderstandings or incorrect applications of the order of operations.
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