High School

Select all of the equalities below that correctly relate metric units.

1) 1 cL = 10⁻² L
2) 1 µL = 10⁻⁶ L
3) 1 L = 10 dL
4) 1 L = 10⁶ µL
5) 1 mL = 1 cc
6) 1 mL = 10⁻³ L
7) 1 dL = 10⁻¹ L

Answer :

Final answer:

The equalities that correctly relate metric units are: 1 cL = 10⁻² L, 1 mL = 1 cc, 1 mL = 10⁻³ L.

Explanation:

To determine the correct equalities relating metric units, we can convert the given units to a common unit, such as liters (L).

  1. 1 cL = 10⁻² L is correct because 1 centiliter is equal to 0.01 liters.
  2. 1 uL = 10⁶ L is incorrect. The conversion should be 1 microliter = 10⁻⁶ liters.
  3. 1 L = 10 dL is incorrect. The correct conversion is 1 liter = 10 deciliters.
  4. 1 L = 10⁶ uL is incorrect. The proper conversion is 1 liter = 10⁶ microliters.
  5. 1 mL = 1 cc is correct. 1 milliliter is equal to 1 cubic centimeter.
  6. 1 mL = 10⁻³ L is correct because 1 milliliter is equal to 0.001 liters.
  7. 1 dL = 10 L is incorrect. The correct conversion is 1 deciliter = 0.1 liters.

From the above analysis, the equalities that correctly relate metric units are: 1 cL = 10⁻² L, 1 mL = 1 cc, 1 mL = 10⁻³ L.

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