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

use two or more equivalency factors to solve the following. hint: convert to base unit first. example: convert 1 nm to cm\n1nm×\\frac{10^{-9}m}{1nm}×\\frac{10^{2}cm}{1m}=10^{-7} cm\n6. convert 5 kg to dg\n7. convert 3 cm to km\n8. convert 6 μm to mm\n9. convert 2 m to in\n10. convert 4 in to m

use two or more equivalency factors to solve the following. hint: convert to base unit first. example: convert 1 nm to cm\n1nm×\\frac{10^{-9}m}{1nm}×\\frac{10^{2}cm}{1m}=10^{-7} cm\n6. convert 5 kg to dg\n7. convert 3 cm to km\n8. convert 6 μm to mm\n9. convert 2 m to in\n10. convert 4 in to m

Answer

Explanation:

Step1: Recall conversion factors

1 kg = 1000 g, 1 g = 10 dg.

Step2: Convert kg to g

$5\ kg\times\frac{1000\ g}{1\ kg}=5000\ g$

Step3: Convert g to dg

$5000\ g\times\frac{10\ dg}{1\ g}=50000\ dg$

Answer:

50000 dg

Explanation:

Step1: Recall conversion factors

1 km = 1000 m, 1 m = 100 cm.

Step2: Convert cm to m

$3\ cm\times\frac{1\ m}{100\ cm}=0.03\ m$

Step3: Convert m to km

$0.03\ m\times\frac{1\ km}{1000\ m}=3\times10^{-5}\ km$

Answer:

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

Explanation:

Step1: Recall conversion factors

1 mm = 1000 μm.

Step2: Convert μm to mm

$6\ \mu m\times\frac{1\ mm}{1000\ \mu m}=0.006\ mm$

Answer:

0.006 mm

Explanation:

Step1: Recall conversion factor

1 in = 2.54 cm, 1 m = 100 cm.

Step2: Convert m to cm

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

Step3: Convert cm to in

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

Answer:

78.74 in

Explanation:

Step1: Recall conversion factor

1 in = 2.54 cm, 1 m = 100 cm.

Step2: Convert in to cm

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

Step3: Convert cm to m

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

Answer:

0.1016 m