Multiply a decimal by a decimal Evaluate: 15.60 × 0.30 = ?

Introduction / Context:
Multiplying decimals is a fundamental arithmetic skill. The answer can be found either by removing decimal points, multiplying integers, and then restoring decimal places, or by using fraction equivalents.

Given Data / Assumptions:

• Compute 15.60 * 0.30.
• Exact arithmetic; no rounding is needed.

Concept / Approach:
Count total decimal places: 15.60 has two, 0.30 has two, so the product will have four decimal places when multiplying 1560 by 30, then adjust to the proper scale. Simplify trailing zeros at the end if appropriate.

Step-by-Step Solution:
Remove decimals: 15.60 → 1560 (2 decimal places), 0.30 → 30 (2 decimal places).Multiply integers: 1560 * 30 = 46800.Restore 4 decimal places: 46800 → 4.6800.Trim trailing zeros to standard form: 4.68.

Verification / Alternative check:
Fraction method: 15.60 = 1560/100 and 0.30 = 30/100, so product = (1560 * 30) / 10000 = 46800/10000 = 4.68. Same result.

Why Other Options Are Wrong:
0.458, 0.468, 0.0468: Each ignores the correct total of four decimal places before simplification or miscalculates the integer product.

Common Pitfalls:
Mixing up decimal places or dropping zeros incorrectly. Always multiply as integers first, then place the decimal using the total count of places from both factors.

Final Answer:
4.68