Final answer:
The simplified form of the expression 3(11-3)2/2 is 24, obtained by sequentially applying arithmetic operations according to the order of operations.
Step-by-step explanation:
The simplified form of the expression 3(11-3)2/2 can be found by following the order of operations, PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
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- First, solve the expression within the parentheses: 11-3 = 8.
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- Next, multiply by 3: 3 × 8 = 24.
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- Then multiply by 2: 24 × 2 = 48.
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- Finally, divide by 2: 48 / 2 = 24.
Therefore, the simplified form is 24.
Simplified equations, eliminate terms and checking that the answer is reasonable are crucial steps in algebra.