Unit conversion (voltage): Convert 7200 millivolts (mV) to volts (V).

Difficulty: Easy

Correct Answer: 7.2 V

Explanation:


Introduction / Context:
Reliable mental conversion between SI prefixes is fundamental in electronics. Millivolts to volts is particularly common when reading instrument scales or interpreting datasheet specifications such as ADC input ranges or sensor outputs.


Given Data / Assumptions:

  • Value: 7200 mV.
  • 1 V = 1000 mV.
  • We seek the equivalent in volts (V).


Concept / Approach:
Use the definition of the milli- prefix: milli = 10^−3. Therefore, to convert mV to V, divide by 1000 (or move the decimal point three places to the left). Always keep track of units to prevent scaling mistakes that are off by factors of 1000 or 1,000,000.


Step-by-Step Solution:

Start: 7200 mV.Apply conversion: V = mV / 1000.Compute: 7200 / 1000 = 7.2.Therefore: 7200 mV = 7.2 V.


Verification / Alternative check:
Express with powers of ten: 7200 mV = 7.2 × 10^3 mV = 7.2 × 10^3 × 10^−3 V = 7.2 V. Consistent with the direct division method.


Why Other Options Are Wrong:

  • 7.2 µV or 0.0072 µV: Micro means 10^−6; these are off by factors of 10^6 or more.
  • 7,200,000 V: Inverts the conversion; millivolts are smaller than volts, not larger.


Common Pitfalls:
Confusing milli (m, 10^−3) with mega (M, 10^6) or micro (µ, 10^−6); case matters in SI prefixes.


Final Answer:
7.2 V

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