Frequency unit conversion Convert the radio frequency 106,100,000 Hz into megahertz (MHz). Choose the numerically correct value.

Difficulty: Easy

Correct Answer: 106.1

Explanation:


Introduction / Context:
Frequency specifications routinely use hertz, kilohertz, megahertz, and gigahertz. Correct unit scaling is crucial when comparing oscillator ratings, radio channels, and clock sources. A simple order-of-magnitude error can derail a design or cause an off-by-1000 mistake in code or documentation.


Given Data / Assumptions:

  • Given frequency: 106,100,000 Hz.
  • 1 MHz = 10^6 Hz.
  • We only convert units; the physical frequency remains identical.


Concept / Approach:
To convert from hertz to megahertz, divide the numeric value by 10^6. This is a direct SI prefix conversion. Ensure commas do not mislead during division, and avoid rounding until the last step if precision matters.


Step-by-Step Solution:

Write the conversion factor: MHz = Hz / 10^6.Compute: 106,100,000 Hz / 1,000,000 = 106.1 MHz.Check significant figures: the original has four to five meaningful digits; 106.1 preserves appropriate precision.State the result: 106.1 MHz.


Verification / Alternative check:
Express as scientific notation: 106,100,000 Hz = 1.061 × 10^8 Hz. Dividing by 10^6 gives 1.061 × 10^2 MHz = 106.1 MHz. Both pathways agree.


Why Other Options Are Wrong:

1,061 / 10,610 / 106,100: each treats the factor as 10^3 repeatedly or ignores the 10^6 divisor.0.1061: corresponds to dividing by 10^9 (gigahertz conversion), not megahertz.


Common Pitfalls:
Confusing MHz with kHz or GHz; misplacing decimal points; mixing engineering notation (e.g., 106.1 MHz) with scientific notation and altering the meaning inadvertently.


Final Answer:
106.1

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