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

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:

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