1 kilometer=

a)1,000centimeters
b)1,000,000millimeters
c)10 meters
D)10,000centemeters
e)100meters

I will be happy to critique your logic on this.

100 meters

The prefix kilo- means 1,000.

kilo + meter = ??

so the answer would be a?

To convert 1 kilometer to different units of length, you can use the following conversion factors:

1 kilometer = 1,000 meters
1 meter = 100 centimeters
1 meter = 1,000 millimeters

Now let's go through each option:

a) 1 kilometer = 1,000 centimeters. This is a valid conversion because 1 kilometer equals 1,000 meters, and 1 meter equals 100 centimeters. You can calculate this by multiplying 1 kilometer by 1,000 (conversion factor from meters to centimeters).

b) 1 kilometer = 1,000,000 millimeters. This is correct because 1 kilometer equals 1,000 meters, and 1 meter equals 1,000 millimeters. You can calculate this by multiplying 1 kilometer by 1,000 (conversion factor from meters to millimeters), and then multiplying by an additional 1,000 (conversion factor from kilometers to meters).

c) 1 kilometer = 10 meters. This is incorrect because it assumes that 1 kilometer is equal to 10 meters. However, the correct conversion is 1 kilometer = 1,000 meters.

d) 1 kilometer = 10,000 centimeters. This is incorrect because it assumes that 1 kilometer equals 1,000 meters, and then multiplies by 10. However, the correct conversion is 1 kilometer = 1,000 meters = 100,000 centimeters.

e) 1 kilometer = 100 meters. This is incorrect because it assumes that 1 kilometer is equal to 100 meters. However, the correct conversion is 1 kilometer = 1,000 meters.

Therefore, the correct conversions are:
a) 1 kilometer = 1,000 centimeters (option a)
b) 1 kilometer = 1,000,000 millimeters (option b)