Voltage with SI prefixes: Seven thousand volts should be written using a single standard prefix as which of the following?

Introduction / Context:Expressing values with the correct SI prefix keeps specifications concise and unambiguous. Here we convert a raw number of volts into a properly prefixed voltage unit.

Given Data / Assumptions:

• Given voltage: 7000 V.
• Prefixes: kilo (k) = 10^3, mega (M) = 10^6, milli (m) = 10^-3.
• Goal: choose the correct single-prefix expression.

Concept / Approach:For thousands, use kilo. Divide by 10^3 to convert volts to kilovolts. Mega and milli would misrepresent the magnitude by many orders of magnitude.

Step-by-Step Solution:

Verification / Alternative check:Reverse operation: 7 kV × 1000 = 7000 V. This confirms the choice precisely.

Why Other Options Are Wrong:

• 7 MV: Equals 7,000,000 V; not equivalent.
• 7 mV: Equals 0.007 V; not equivalent.
• either 7 kV or 7 mV: Includes an obviously incorrect alternative.

Common Pitfalls:

• Confusing uppercase M (mega) with lowercase m (milli).
• Overlooking that kV is the standard way to express thousands of volts.

Final Answer:7 kV