Question

perform the following conversions:

1. convert 5.0 cm to m.
2. convert 4.0 m to cm.
3. convert 60.1 mm to m
4. convert 10.9 m to mm.
5. convert 0.7 km to m.
6. convert 30,883 m to km.
7. convert 300.00 dl to l.
8. convert 600.00 l to dl.
9. convert 2.0 cm to mm.
10. convert 73,900 mm to cm.
11. convert 3.5 mm to km.
12. convert 80 km to mm.
13. convert 0.2 km to cm.
14. convert 4301 cm to km.

Explanation:

Question 10: Convert 5.0 cm to m.

Step1: Recall the conversion factor (1 m = 100 cm)

To convert cm to m, we divide by 100 (or multiply by \( \frac{1}{100} \) or \( 10^{-2} \)).

Step2: Perform the conversion

\( 5.0 \, \text{cm} \times \frac{1 \, \text{m}}{100 \, \text{cm}} = 5.0 \times 10^{-2} \, \text{m} = 0.05 \, \text{m} \)

Step1: Recall the conversion factor (1 m = 100 cm)

To convert m to cm, we multiply by 100 (or \( 10^{2} \)).

Step2: Perform the conversion

\( 4.0 \, \text{m} \times \frac{100 \, \text{cm}}{1 \, \text{m}} = 4.0 \times 100 \, \text{cm} = 400 \, \text{cm} \)

Step1: Recall the conversion factors (1 m = 1000 mm)

To convert mm to m, we divide by 1000 (or multiply by \( \frac{1}{1000} \) or \( 10^{-3} \)).

Step2: Perform the conversion

\( 60.1 \, \text{mm} \times \frac{1 \, \text{m}}{1000 \, \text{mm}} = 60.1 \times 10^{-3} \, \text{m} = 0.0601 \, \text{m} \)

Answer:

\( 0.05 \, \text{m} \)

Question 11: Convert 4.0 m to cm.