How many kilograms are in 1,800 grams?

Question

How many kilograms are in 1,800 grams??  
A. 0.18  
B. 1.8  
C. 18  
D. 180

Accepted Answer

Correct Answer: (B)1.8. 
Rationale: There are 1.8 kilograms in 1,800 grams.The metric system is based on decimal relationships between units. The prefix "kilo-" denotes a factor of one thousand (1000). Converting from a smaller unit (grams) to a larger unit (kilograms) requires division by the conversion factor of 1000.A) 0.18This result would be obtained by incorrectly dividing 1,800 by 10,000 or moving the decimal point four places to the left. The correct conversion factor from grams to kilograms is 1/1000 or 0.001. 1,800 grams multiplied by 0.001 equals 1.8, not 0.18.B) 1.8Since 1 kilogram = 1,000 grams, to find the number of kilograms in 1,800 grams, one divides 1,800 by 1,000. 1,800 ÷ 1,000 = 1.8. This moves the decimal point three places to the left: 1,800.0 grams becomes 1.800 kilograms, which is 1.8 kg.C) 18This answer would result from dividing by 100 instead of 1,000. It represents a confusion with the centi- prefix (centimeter to meter, for example) or moving the decimal point only two places. 1,800 grams divided by 100 equals 18, but that would yield 18 hectograms, not kilograms.D) 180This would be the result if one divided by 10. It misapplies the conversion factor, treating it as if there were only 10 grams in a kilogram. 1,800 grams divided by 10 equals 180, which would be 180 decagrams, not kilograms.Conclusion:Converting within the metric system involves multiplying or dividing by powers of ten. The prefix "kilo-" means 1000 times the base unit. Therefore, to convert grams to kilograms, the number of grams is divided by 1000. Performing this operation on 1,800 grams correctly yields 1.8 kilograms.

How many kilograms are in 1,800 grams?

A
0.18

B
1.8

C
18

D
180

There are 1.8 kilograms in 1,800 grams.

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How many kilograms are in 1,800 grams?

A 0.18 B 1.8 C 18 D 180

There are 1.8 kilograms in 1,800 grams.

Topic Flashcards

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Related Questions

A
0.18

B
1.8

C
18

D
180