High School

Fill in the blanks.

a) 1 m = ______ mm

b) 1 dam = ______ cm

c) 1 kg = ______ mg

d) 1 dL = ______ mL

e) 1 hg = ______ mg

f) 1 L = ______ cL

Answer :

Let's fill in the blanks by converting units using the metric system. The metric system is based on powers of ten, making it easy to convert between different units.

  1. 1 m = ______ mm

    • To convert meters (m) to millimeters (mm), we multiply by 1,000 because there are 1,000 millimeters in a meter.
    • Therefore, [tex]1 \text{ m} = 1,000 \text{ mm}[/tex].
  2. 1 dam = ______ cm

    • A decameter (dam) is 10 meters. Since we know there are 100 centimeters in a meter, we need to multiply 10 meters by 100 to find the number of centimeters.
    • Therefore, [tex]1 \text{ dam} = 1,000 \text{ cm}[/tex].
  3. 1 kg = ______ mg

    • A kilogram (kg) is 1,000 grams. To convert grams to milligrams, we multiply by 1,000 because there are 1,000 milligrams in a gram.
    • Therefore, [tex]1 \text{ kg} = 1,000,000 \text{ mg}[/tex].
  4. 1 dL = ______ mL

    • One deciliter (dL) is 0.1 liters. Since there are 1,000 milliliters in a liter, we multiply 0.1 by 1,000.
    • Therefore, [tex]1 \text{ dL} = 100 \text{ mL}[/tex].
  5. 1 hg = ______ mg

    • A hectogram (hg) is 100 grams. To convert this into milligrams, we multiply by 1,000 (milligrams in a gram).
    • Therefore, [tex]1 \text{ hg} = 100,000 \text{ mg}[/tex].
  6. 1 L = ______ cL

    • One liter (L) is 100 centiliters (cL) because centi- means one-hundredth, and there are 100 centiliters in a liter.
    • Therefore, [tex]1 \text{ L} = 100 \text{ cL}[/tex].

In summary, these conversions utilize the metric system's base-10 foundation to simplify conversion between different units of measurement.