To solve these metric conversion problems, we need to understand the metric prefixes and their corresponding powers of ten. Each prefix represents a specific power of ten, and we can use these to convert between units by multiplying or dividing by the appropriate power of ten.
- 1 pg to g: The prefix "pico" (p) represents \(10^{-12}\). Therefore, 1 picogram (pg) is \(10^{-12}\) grams (g).
- 1 g to mg: The prefix "milli" (m) represents \(10^{-3}\). Therefore, 1 gram (g) is \(10^{3}\) milligrams (mg).
- 1 ML to mL: The prefix "mega" (M) represents \(10^{6}\). Therefore, 1 megaliter (ML) is \(10^{6}\) milliliters (mL).
To solve the metric conversion problems, we need to understand the metric prefixes and their corresponding powers of ten. Each prefix represents a specific power of ten, which allows us to convert between units by multiplying or dividing by the appropriate power of ten.
The prefix "pico" (p) represents \(10^{-12}\). Therefore, to convert 1 picogram (pg) to grams (g), we multiply by \(10^{-12}\):
\[ 1 \, \text{pg} = 1 \times 10^{-12} \, \text{g} = 1 \times 10^{-12} \, \text{g} \]
The prefix "milli" (m) represents \(10^{-3}\). Therefore, to convert 1 gram (g) to milligrams (mg), we multiply by \(10^{3}\):
\[ 1 \, \text{g} = 1 \times 10^{3} \, \text{mg} = 1000 \, \text{mg} \]
The prefix "mega" (M) represents \(10^{6}\). Therefore, to convert 1 megaliter (ML) to milliliters (mL), we multiply by \(10^{6}\):
\[ 1 \, \text{ML} = 1 \times 10^{6} \, \text{mL} = 1000000 \, \text{mL} \]
- \( \boxed{1 \, \text{pg} = 10^{-12} \, \text{g}} \)
- \( \boxed{1 \, \text{g} = 1000 \, \text{mg}} \)
- \( \boxed{1 \, \text{ML} = 1000000 \, \text{mL}} \)
Answered
