I'm having trouble with converting units. My teacher wants us to show work but I can't figure out how to do it. An example is, 35 mL = ____ dL. By showing work, how do you do that?
35ml * YYYliter/XXX ml * ZZZ dl/kkkliter
so the idea is to find the numbers which convert. You know 1000ml=1liter, and 1 liter is 10dL, so
35ml * 1 liter/1000ml *10 dL/1liter
multiply, divide out units, so...
.35 dL
2000ml
When converting units, it's important to understand the relationship between the two units and how to scale between them. In this case, we want to convert from milliliters (mL) to deciliters (dL).
To show your work, you can use a conversion factor. A conversion factor is a ratio that expresses the relationship between two different units. In this case, the conversion factor would be:
1 dL = 100 mL
To convert 35 mL to dL, we can set up an equation using the conversion factor:
35 mL * (1 dL / 100 mL) = ____ dL
Now let's calculate it step by step:
Step 1: Start with the given quantity: 35 mL
Step 2: Multiply by the conversion factor: (1 dL / 100 mL)
Step 3: Simplify the units: mL in the numerator and denominator cancel each other out.
Step 4: Calculate the result: 35 mL * (1 dL / 100 mL) = 0.35 dL
So, 35 mL is equal to 0.35 dL.
By showing your work using the conversion factor, you demonstrate the process of how you arrived at the answer.