Convert the following measurements into the indicated units: a) 6 m to mm, b) 22000 mm to m, c) 9 km to m. Also, convert the following to kilometers: a) 4200 m, b) 800,000 cm, c) 645,000 m.

Step 1: Answer question 1. The relationships between units of length measurement are: • 1 kilometer (km) = 1000 meters (m) • 1 meter (m) = 100 centimeters (cm) • 1 centimeter (cm) = 10 millimeters (mm) Step 2: Convert the given values to kilometers for question 2. a) Convert 4200 m to km: 4200 m × 1 km1000 m = 4.2 km b) Convert 800,000 cm to km: 800,000 cm × 1 m100 cm × 1 km1000 m = 8 km c) Convert 645,000 m to km: 645,000 m × 1 km1000 m = 645 km The answers are: a) 4.2 km, b) 8 km, c) 645 km. Step 3: Convert the given values to the required units for question 3. a) Convert 6 m to mm: 6 m × 100 cm1 m × 10 mm1 cm = 6000 mm b) Convert 22000 mm to m: 22000 mm × 1 cm10 mm × 1 m100 cm = 22 m c) Convert 9 km to m: 9 km × 1000 m1 km = 9000 m The answers are: a) 6000 mm, b) 22 m, c) 9000 m. Step 4: Answer questions 4 and 5. 4. Examples of small units of measurement are: millimeter (mm), centimeter (cm). 5. Examples of large units of measurement are: kilometer (km), meter (m). Step 5: Convert mass units for questions 6, 7, 8, 9, 10, 11, 14, 15, 16, 20. Assume 1 ton (t) = 1000 kg and 1 Ku (quintal) = 100 kg. 6. Convert 30 kg to g: 30 kg × 1000 g1 kg = 30,000 g The answer is 30,000 g. 7. Convert 0.02 t to g: 0.02 t × 1000 kg1 t × 1000 g1 kg = 20,000 g The answer is 20,000 g. 8. Convert 9 Ku to g: 9 Ku × 100 kg1 Ku × 1000 g1 kg = 900,000 g The answer is 900,000 g. 9. Convert 800 Ku to g: 800 Ku × 100 kg1 Ku × 1000 g1 kg = 80,000,000 g The answer is 80,000,000 g. 10. Convert 7500 kg to Ku: 7500 kg × 1 Ku100 kg = 75 Ku The answer is 75 Ku. 11. Calculate 20 t + 9 Ku in kg: 20 t = 20 × 1000 kg = 20,000 kg 9 Ku = 9 × 100 kg = 900 kg 20,000 kg + 900 kg = 20,900 kg The answer is 20,900 kg. 14. Calculate 10 kg + 1000 g in Ku: 1000 g = 1000 g × 1 kg1000 g = 1 kg 10 kg + 1 kg = 11 kg 11 kg × 1 Ku100 kg = 0.11