Certainly! Let's convert all the given distances to meters step-by-step:
### Part a: Convert [tex]\(3.6 \text{ km} + 450 \text{ m}\)[/tex] to meters
1. Convert kilometers to meters:
- [tex]\(1 \text{ km} = 1000 \text{ m}\)[/tex]
- So, [tex]\(3.6 \text{ km} = 3.6 \times 1000 \text{ m} = 3600 \text{ m}\)[/tex]
2. Add the meters:
- [tex]\(3600 \text{ m} + 450 \text{ m} = 4050 \text{ m}\)[/tex]
### Part b: Convert [tex]\(6.8 \text{ hm} - 0.34 \text{ dom}\)[/tex] to meters
1. Convert hectometers to meters:
- [tex]\(1 \text{ hm} = 100 \text{ m}\)[/tex]
- So, [tex]\(6.8 \text{ hm} = 6.8 \times 100 \text{ m} = 680 \text{ m}\)[/tex]
2. Convert decimeters of a meter (dom) to meters:
- [tex]\(1 \text{ dom} = \frac{1}{10} \text{ m} = 0.1 \text{ m}\)[/tex]
- So, [tex]\(0.34 \text{ dom} = 0.34 \times 0.1 \text{ m} = 0.034 \text{ m}\)[/tex]
3. Subtract:
- [tex]\(680 \text{ m} - 0.034 \text{ m} = 679.966 \text{ m}\)[/tex]
### Part c: Convert [tex]\(16 \text{ dm} + 54 \text{ cm} + 200 \text{ mm}\)[/tex] to meters
1. Convert decimeters to meters:
- [tex]\(1 \text{ dm} = 0.1 \text{ m}\)[/tex]
- So, [tex]\(16 \text{ dm} = 16 \times 0.1 \text{ m} = 1.6 \text{ m}\)[/tex]
2. Convert centimeters to meters:
- [tex]\(1 \text{ cm} = 0.01 \text{ m}\)[/tex]
- So, [tex]\(54 \text{ cm} = 54 \times 0.01 \text{ m} = 0.54 \text{ m}\)[/tex]
3. Convert millimeters to meters:
- [tex]\(1 \text{ mm} = 0.001 \text{ m}\)[/tex]
- So, [tex]\(200 \text{ mm} = 200 \times 0.001 \text{ m} = 0.2 \text{ m}\)[/tex]
4. Add all converted values:
- [tex]\(1.6 \text{ m} + 0.54 \text{ m} + 0.2 \text{ m} = 2.34 \text{ m}\)[/tex]
### Part d: Convert [tex]\(2.4 \text{ km} + 84 \text{ hm} + 12.5 \text{ dam}\)[/tex] to meters
1. Convert kilometers to meters:
- [tex]\(1 \text{ km} = 1000 \text{ m}\)[/tex]
- So, [tex]\(2.4 \text{ km} = 2.4 \times 1000 \text{ m} = 2400 \text{ m}\)[/tex]
2. Convert hectometers to meters:
- [tex]\(1 \text{ hm} = 100 \text{ m}\)[/tex]
- So, [tex]\(84 \text{ hm} = 84 \times 100 \text{ m} = 8400 \text{ m}\)[/tex]
3. Convert decameters to meters:
- [tex]\(1 \text{ dam} = 10 \text{ m}\)[/tex]
- So, [tex]\(12.5 \text{ dam} = 12.5 \times 10 \text{ m} = 125 \text{ m}\)[/tex]
4. Add all converted values:
- [tex]\(2400 \text{ m} + 8400 \text{ m} + 125 \text{ m} = 10925 \text{ m}\)[/tex]
### Final Results
- a) [tex]\(3.6 \text{ km} + 450 \text{ m} = 4050 \text{ m}\)[/tex]
- b) [tex]\(6.8 \text{ hm} - 0.34 \text{ dom} = 679.966 \text{ m}\)[/tex]
- c) [tex]\(16 \text{ dm} + 54 \text{ cm} + 200 \text{ mm} = 2.34 \text{ m}\)[/tex]
- d) [tex]\(2.4 \text{ km} + 84 \text{ hm} + 12.5 \text{ dam} = 10925 \text{ m}\)[/tex]
