Question

rank the following quantities in order of decreasing distance. rank from highest to lowest distance. to rank items as equivalent, overlap them. view available hint(s) 5 million nm, 1 mm, 1 cm, 1 mm, 100 m, 1 km, 50 mm. highest lowest the correct ranking cannot be determined. submit previous answers incorrect; try again; 6 attempts remaining

Explanation:

Step1: Convert all units to meters

• \( 5 \text{ million nm} = 5\times10^{6} \text{ nm} \). Since \( 1 \text{ nm} = 10^{-9} \text{ m} \), so \( 5\times10^{6}\times10^{-9} \text{ m} = 5\times10^{-3} \text{ m} = 0.005 \text{ m} \)
• \( 1 \text{ Mm} = 1\times10^{6} \text{ m} \) (because \( 1 \text{ Mm} = 10^{6} \text{ m} \))
• \( 1 \text{ cm} = 0.01 \text{ m} \) (since \( 1 \text{ cm} = 10^{-2} \text{ m} \))
• \( 1 \text{ mm} = 0.001 \text{ m} \) (since \( 1 \text{ mm} = 10^{-3} \text{ m} \))
• \( 100 \text{ m} = 100 \text{ m} \)
• \( 1 \text{ km} = 1000 \text{ m} \) (since \( 1 \text{ km} = 10^{3} \text{ m} \))
• \( 50 \text{ mm} = 0.05 \text{ m} \) (since \( 50\times10^{-3} \text{ m}=0.05 \text{ m} \))

Step2: Compare the values in meters

• \( 1 \text{ Mm} = 1\times10^{6} \text{ m} \)
• \( 1 \text{ km} = 1000 \text{ m} \)
• \( 100 \text{ m} = 100 \text{ m} \)
• \( 50 \text{ mm} = 0.05 \text{ m} \)
• \( 1 \text{ cm} = 0.01 \text{ m} \)
• \( 5 \text{ million nm} = 0.005 \text{ m} \)
• \( 1 \text{ mm} = 0.001 \text{ m} \)

Now, ordering from highest to lowest distance (decreasing order): \( 1 \text{ Mm} > 1 \text{ km} > 100 \text{ m} > 50 \text{ mm} > 1 \text{ cm} > 5 \text{ million nm} > 1 \text{ mm} \)

Answer:

Highest: 1 Mm, 1 km, 100 m, 50 mm, 1 cm, 5 million nm, 1 mm (Lowest)
(To rank, place 1 Mm first, then 1 km, then 100 m, then 50 mm, then 1 cm, then 5 million nm, and last 1 mm)