Hi, I have a math quiz on converting measurements, and I’m confused. I’ve never heard of “dag” or most of these so if someone could please explain how to convert these and if possible the answer. Thx

11 dm = ____ mm
1.9 mL = ____ dL
41 dag = ____ kg
100 hL = ____ L

Respuesta :

Sure! Converting between different units of measurement often just requires multiplying or dividing by factors of 10 because the metric system is based on powers of 10.

Here's how you can convert the units you've mentioned:

1. Decimeters (dm) to millimeters (mm):
- There are 10 millimeters (mm) in a centimeter (cm) and 10 centimeters in a decimeter (dm).
- So, there are 10 * 10 = 100 millimeters in a decimeter.
To convert decimeters to millimeters, you multiply by 100:
\[ 11 \text{ dm} * 100 = 1100 \text{ mm} \]

2. Milliliters (mL) to deciliters (dL):
- There are 100 milliliters in a deciliter.
To convert milliliters to deciliters, you divide by 100:
\[ 1.9 \text{ mL} / 100 = 0.019 \text{ dL} \]

3. Decagrams (dag) to kilograms (kg):
- There are 10 grams (g) in a decagram, and 1000 grams in a kilogram.
- So, there are 100 decagrams in a kilogram.
To convert decagrams to kilograms, you divide by 100:
\[ 41 \text{ dag} / 100 = 0.41 \text{ kg} \]

4. Hectoliters (hL) to liters (L):
- There are 100 liters in a hectoliter.
To convert hectoliters to liters, you multiply by 100:
\[ 100 \text{ hL} * 100 = 10000 \text{ L} \]

Let's summarize the conversions:

11 dm = 1100 mm
1.9 mL = 0.019 dL
41 dag = 0.41 kg
100 hL = 10000 L

And a quick note on "dag": it's not commonly used. The "dag" stands for decagram, which is a metric unit of mass equal to 10 grams. It's not as standard as grams or kilograms, which you'll see more frequently.