2 + [2 + {2 + (2 + (2 + 23)}] = _____?
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Answer: B. 33/4
Explanation
Evaluating the nested expression requires starting from the innermost parentheses and working outward systematically. Simplifying each bracket layer step by step resolves the fractional additions correctly without error. The final numerical combination of all simplified nested fractions results in thirty-three fourths. Nested mathematical expressions must be evaluated following strict order of operations rules from inside out. Combining fractions requires finding common denominators to add numerator values accurately together. Complex fraction simplification is a standard test of algebraic manipulation and arithmetic precision.
Computer algorithms evaluate nested mathematical functions and loops using identical inside-out evaluation principles. Engineers simplify complex circuit equations by resolving innermost component loops first. Practicing nested arithmetic improves concentration and reduces careless calculation errors in exams. Option A underestimates the final value by dropping a fractional term during intermediate bracket reduction. Option C overshoots the correct sum due to an improper addition step in the outer bracket layer. Option D results from a multiplication error where bracket values were scaled incorrectly.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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