Question

1. make the following conversions: (must show work on separate sheet of paper to get credit)

a. 157 cs to seconds =
157 cs x \frac{1 5}{100 cs}
b. 42.7 l to milliliters =
42.7 l x \frac{1000 ml}{1 l} = 42,700 ml
c. 261 nm to millimeters =
261 nm x \frac{\\_\\_\\_\\_}{nm}
d. 0.065 km to decimeter =
e. 642 cg to kilograms =

Explanation:

Part a: 157 cs to seconds

Step1: Recall centisecond to second conversion

1 second ($s$) = 100 centiseconds ($cs$), so conversion factor is $\frac{1\ s}{100\ cs}$.

Step2: Multiply by conversion factor

$157\ cs \times \frac{1\ s}{100\ cs} = \frac{157}{100}\ s = 1.57\ s$

Part b: 42.7 L to milliliters

Step1: Recall liter to milliliter conversion

1 liter ($L$) = 1000 milliliters ($mL$), so conversion factor is $\frac{1000\ mL}{1\ L}$.

Step2: Multiply by conversion factor

$42.7\ L \times \frac{1000\ mL}{1\ L} = 42.7 \times 1000\ mL = 42700\ mL$

Part c: 261 nm to millimeters

Step1: Recall nanometer to meter, meter to millimeter

1 meter ($m$) = $10^9$ nanometers ($nm$), 1 meter ($m$) = 1000 millimeters ($mm$). So $1\ nm = 10^{-9}\ m$ and $1\ m = 10^3\ mm$, so $1\ nm = 10^{-6}\ mm$ (or conversion factor $\frac{1\ mm}{10^6\ nm}$).

Step2: Multiply by conversion factor

$261\ nm \times \frac{1\ mm}{10^6\ nm} = \frac{261}{10^6}\ mm = 2.61 \times 10^{-4}\ mm$

Part d: 0.065 km to decimeters

Answer:

s:
a. $\boldsymbol{1.57\ s}$
b. $\boldsymbol{42700\ mL}$
c. $\boldsymbol{2.61 \times 10^{-4}\ mm}$ (or $0.000261\ mm$)
d. $\boldsymbol{650\ dm}$
e. $\boldsymbol{0.00642\ kg}$