Compute: 0.04 × 0.0162 = ?

Problem restatementMultiply two decimals: 0.04 and 0.0162.

Concept/ApproachMultiply as whole numbers and then place the decimal using total decimal places (2 + 4 = 6 places), or use place-value reasoning.

Step-by-Step calculation 4 × 162 = 648 Total decimal places = 2 (from 0.04) + 4 (from 0.0162) = 6 Therefore, 0.04 × 0.0162 = 0.000648

Verification/Alternative0.04 = 4/100, 0.0162 = 162/10,000 ⇒ product = (4×162)/(100×10,000) = 648/1,000,000 = 0.000648.

Common pitfalls

• Using 5 or 7 decimal places instead of 6.

Final Answer0.000648