Question

question 1
which of the following equalities can be used to indicate the number of nanoliters (nl) in one liter (l)?
metric and si prefixes
prefix symbol numerical value scientific notation equality
prefixes that increase the size of the unit
eta p 1 000 000 000 000 000 10^15 1 pg = 10^15 g
tera t 1 000 000 000 000 10^12 1 tg = 10^12 g
peta p 1 000 000 000 10^9 1 gm = 10^9 m
mega m 1 000 000 10^6 1 mg = 10^6 g
kilo k 1 000 10^3 1 km = 10^3 m
prefixes that decrease the size of the unit
dexi d 0.1 10^(-1) 1 dl = 10^(-1) l
centi c 0.01 10^(-2) 1 cm = 10^(-2) m
milli m 0.001 10^(-3) 1 ms = 10^(-3) s
answer
1 nl = 1×10^(-9) l or 1×10^9 nl = 1 l
1 nl = 1×10^9 l or 1×10^(-9) nl = 1 l
1 nl = 1×10^(-6) l or 1×10^6 nl = 1 l
1 nl = 1×10^6 l or 1×10^(-6) nl = 1 l
i dont know yet

Explanation:

Step1: Recall metric - prefix conversion

The prefix "nano" (n) in the metric system represents $10^{-9}$. So, 1 nanoliter (nL) is equal to $1\times10^{-9}$ liters (L).

Step2: Find the equality for 1 L in terms of nL

If 1 nL = $1\times10^{-9}$ L, then to find how many nL are in 1 L, we solve for the number of nL. Let the number of nL in 1 L be $x$. So, $x\times(1\times10^{-9}\text{ L/nL})=1\text{ L}$, which gives $x = 1\times10^{9}$ nL.

Answer:

1 nL = 1×$10^{-9}$ L or 1×$10^{9}$ nL = 1 L