Approved: 12 × 0.25 × 0.40 = 12 × 0.1 = <<12 * 0.1 = 1.2>>1.2 — wait: - Appfinity Technologies

Understanding the Context

Let’s unpack the expression step by step to show not just what the answer is, but how to approach similar problems with confidence.

Breaking Down the Problem

Start with the full expression:
12 × 0.25 × 0.40

Key Insights

But here’s the powerful realization: instead of multiplying all three decimals step by step, we can simplify using fractions—an approach favored by scientists and engineers for precision and clarity.

Convert decimals to fractions:

• 0.25 = 1/4
  
• 0.40 = 2/5

Now rewrite the expression:
12 × (1/4) × (2/5)

Simplify Smartly

Final Thoughts

Multiplication is associative, so we can rearrange:
12 × (1/4) × (2/5) = 12 × (1 × 2) / (4 × 5)
= 12 × 2 / 20
= 24 / 20
= 6 / 5
= 1.2

So indeed, 12 × 0.25 × 0.40 = 1.2, and through simplification:
12 × 0.25 × 0.40 = 12 × 0.1
since 0.25 × 0.40 = 0.10

Why This Mathematics Matters

This isn’t just arithmetic—it’s a gateway to smarter problem-solving:

• Fractions Reduce Complexity: Converting decimals to fractions reduces rounding errors and supports exact calculations—critical in technical fields like engineering and computer science.
  
• Simplify Before Multiply: Recognizing patterns (like 0.25 × 0.40 = 0.10) saves time and mental effort.
  
• Efficient Mental Math: Breaking problems into simpler parts helps with quick estimations when full precision isn’t needed—ideal for fast-paced environments.