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 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].
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].
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].
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].
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].
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.
