use two or more equivalency factors to solve the following. hint: convert to base unit first: example…

6. Convert 5 kg to dg

Explanation:

Step1: Convert kg to g

We know that 1 kg = 1000 g. So, $5\mathrm{kg}\times\frac{1000\mathrm{g}}{1\mathrm{kg}} = 5000\mathrm{g}$

Step2: Convert g to dg

We know that 1 g= 10 dg. So, $5000\mathrm{g}\times\frac{10\mathrm{dg}}{1\mathrm{g}}=50000\mathrm{dg}$

Answer:

50000 dg

7. Convert 3 cm to km

Explanation:

Step1: Convert cm to m

We know that 1 m = 100 cm. So, $3\mathrm{cm}\times\frac{1\mathrm{m}}{100\mathrm{cm}}=0.03\mathrm{m}$

Step2: Convert m to km

We know that 1 km = 1000 m. So, $0.03\mathrm{m}\times\frac{1\mathrm{km}}{1000\mathrm{m}} = 3\times10^{-5}\mathrm{km}$

Answer:

$3\times 10^{-5}$ km

8. Convert 6 μm to mm

Explanation:

Step1: Convert μm to m

We know that 1 m = 1000000 μm. So, $6\mathrm{\mu m}\times\frac{1\mathrm{m}}{1000000\mathrm{\mu m}}=6\times 10^{-6}\mathrm{m}$

Step2: Convert m to mm

We know that 1 m = 1000 mm. So, $6\times 10^{-6}\mathrm{m}\times\frac{1000\mathrm{mm}}{1\mathrm{m}}= 6\times10^{-3}\mathrm{mm}$

Answer:

$6\times 10^{-3}$ mm

9. Convert 2 m to in

Explanation:

We know that 1 in = 2.54 cm and 1 m = 100 cm.

Step1: Convert m to cm

$2\mathrm{m}\times\frac{100\mathrm{cm}}{1\mathrm{m}} = 200\mathrm{cm}$

Step2: Convert cm to in

$200\mathrm{cm}\times\frac{1\mathrm{in}}{2.54\mathrm{cm}}\approx78.74\mathrm{in}$

Answer:

78.74 in

10. Convert 4 in to m

Explanation:

We know that 1 in = 2.54 cm and 1 m = 100 cm.

Step1: Convert in to cm

$4\mathrm{in}\times\frac{2.54\mathrm{cm}}{1\mathrm{in}} = 10.16\mathrm{cm}$

Step2: Convert cm to m

$10.16\mathrm{cm}\times\frac{1\mathrm{m}}{100\mathrm{cm}}=0.1016\mathrm{m}$

Answer:

0.1016 m