Answer :

Final answer:

The correct answers are C) 1,500 centiliters (cL) and D) 150,000 milliliters (mL) because both equal 150 deciliters (dL) after conversion.

Explanation:

The student's question asks which of the following measurements is equal to 150 deciliters (dL): A) .015 dekaliters (daL), B) 0.15 liters (L), C) 1,500 centiliters (cL), or D) 150,000 milliliters (mL). Converting these options to deciliters will help us find the correct answer:

  • Option A: 0.015 daL is equal to 1.5 dL (because 1 daL = 10 dL).
  • Option B: 0.15 L is equal to 15 dL (because 1 L = 10 dL).
  • Option C: 1,500 cL is equal to 150 dL (because 1 cL = 0.1 dL).
  • Option D: 150,000 mL is equal to 150 dL (because 1,000 mL = 1 L and 1 L = 10 dL).

So, both options C and D are correct. They both equal 150 dL when converted.

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Rewritten by : Barada

This is a case of metric system of measurements. The scale of the metric system only differs by a factor of 10. The scale (from greatest to least) is kiloliter, hectoliter, dekaliter, liter, deciliter, centiliter and milliliter. If the unit is 150 dL, and you want to find the equivalent dkL measurement, just move the decimal point 2 decimals places to the left (just follow the scale). The same procedure is done for the other metric units.

150 dL = 1.5 dkL
150 dL = 15 L
150 dL = 1,500 cL
150 dL = 15,000 mL

From the choices, the answer is letter C.