Expressing resistance with metric prefixes: Convert 4.4 × 10^6 ohms into a single-prefix form (choose the best notation).

Introduction / Context:Component values on schematics and bills of materials often use metric prefixes such as k (kilo) and M (mega). Converting scientific notation to these prefixes ensures clarity when selecting resistors and analyzing circuits.

Given Data / Assumptions:

• Given resistance: 4.4 × 10^6 ohms.
• Prefixes: k = 10^3 (kilo), M = 10^6 (mega).
• Goal: express with a single metric prefix.

Concept / Approach:Compare the power of ten with the prefix values. Since 10^6 aligns exactly with mega, we can directly replace 10^6 ohms with M (megaohms) and keep the coefficient unchanged.

Step-by-Step Solution:

Verification / Alternative check:Numeric check: 4.4 MΩ = 4,400,000 Ω, which equals 4.4 × 10^6 Ω exactly. Options using 'k' would yield 4,400 kΩ, not the intended compact single-prefix form.

Why Other Options Are Wrong:

• 4 k / 4.4 k: Represent 4,000 Ω or 4,400 Ω, far smaller.
• 4 M: Equals 4 × 10^6 Ω, not 4.4 × 10^6 Ω; coefficient mismatch.

Common Pitfalls:

• Dropping the coefficient when changing prefixes.
• Confusing k (10^3) with M (10^6) due to similar letters.

Final Answer:4.4 M