Compute the product below and give the result to two decimal places: 27 × 1.2 × 5.526 × 0.6

Difficulty: Easy

Correct Answer: 107.43

Explanation:


Introduction / Context:
This question assesses accurate multiplication of decimals and integers, along with sensible rounding to a specified precision (two decimal places). Such computations are common in percentage, rate, and measurement problems.


Given Data / Assumptions:

  • Expression: 27 × 1.2 × 5.526 × 0.6
  • All factors are exact as stated.
  • Final answer required to two decimal places.


Concept / Approach:
Group factors to keep the numbers manageable, multiply progressively, and only round at the end. Avoid intermediate rounding to maintain precision.


Step-by-Step Solution:

Compute A = 27 × 1.2 = 32.4Compute B = A × 0.6 = 32.4 × 0.6 = 19.44Compute C = B × 5.526 = 19.44 × 5.526 = 107.42544Round C to two decimals → 107.43


Verification / Alternative check:
Check reasonableness: 27 × 1.2 ≈ 32.4; 32.4 × 0.6 ≈ 19.44; 19.44 × 5.5 ≈ 106.9, close to 107.43. The order-of-magnitude is consistent.


Why Other Options Are Wrong:

  • 121.57, 113.40, 101.74, 95.22: These come from rounding too early, misplacing a decimal, or using an incorrect factor order.


Common Pitfalls:

  • Rounding after each multiplication step (accumulates error).
  • Misreading 5.526 as 5.56 or 5.5262.
  • Dropping a factor (e.g., forgetting the 0.6).


Final Answer:
107.43

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