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This article was co-written by David Jia. David Jia is a tutoring teacher and founder of LA Math Tutoring, a private tutoring facility based in Los Angeles, California. With over 10 years of teaching experience, David teaches a wide variety of subjects to students of all ages and grades, as well as college admissions counseling and prep for SAT, ACT, ISEE, etc. scoring 800 in math and 690 in English on the SAT, David was awarded a Dickinson Scholarship to the University of Miami, where he graduated with a bachelor’s degree in business administration. Additionally, David has worked as an instructor in online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.
This article has been viewed 53,990 times.
In the metric system, gram (g) is used to measure light mass, and kilogram (kg) is used to measure heavier mass. 1 kilogram is equal to 1,000 grams. Therefore, converting grams to kilograms is easy: just divide the number of grams by 1,000 .
Steps
Math conversion
- In this section, we will follow the same problem example to make it easier to visualize. For example, 20,000 grams equals how many kilograms? To get started, write ” 20,000 g ” on a piece of paper.
- In this example, the number of kilograms would be 20,000 divided by 1,000.
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- 20,000/1,000 = 20
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- In this example, we will enter the unit “kilogram” for the answer as follows:
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- 20 kg .
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- To convert 20 kilograms back into grams, we simply multiply it by 1,000 (again, don’t forget to add units to the answer):
- 20 kg × 1,000 = 20,000 g
Convert by moving decimal point
- In this section, convert 37 grams to kilograms. We can start similar to the previous section by writing ” 37 grams ” on paper.
- In this example, the decimal point of 37 grams is to the right of the number 7 (you can understand that 37 grams is 37.0 grams). If each time you pass the decimal point to a number, the process goes like this:
- 37 ,
- 3 , 7
- , 37
- , _37 — note that we leave it blank when there are no numbers left.
- In this example, we only have one space between the decimal point and the number 3, so fill in a zero like this:
-
- ,037
-
- Add the appropriate units (remember to add another zero to the left of the decimal point for the displayed result), we have the final answer:
- 0.037 kg
- In this example, we can move the decimal point to the right as follows:
-
- 0 , 037
- 00 , 37
- 003 , 7
- 0037 , — it doesn’t matter how many zeros on the left side, so you can rewrite your answer as 37 g .
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Advice
- The kilogram is the base unit of mass of the International System of Units (SI) [5] X Research Source . The gram is the smaller unit of mass in the metric and SI systems. Initially, 1 gram is equivalent to the mass of 1 cubic centimeter (cm³) of water at 4°C. [6] X Research Source
- In the metric system, the prefix indicates the magnitude of a unit. Units starting with “kilo” are one thousand times larger (1,000) any unit without that prefix. For example: 1 kilowatt (kW) = 1,000 watts (W); 1 kilogram = 1,000 grams; 100 kilometers (km) = 100,000 meters (m); et cetera.
This article was co-written by David Jia. David Jia is a tutoring teacher and founder of LA Math Tutoring, a private tutoring facility based in Los Angeles, California. With over 10 years of teaching experience, David teaches a wide variety of subjects to students of all ages and grades, as well as college admissions counseling and prep for SAT, ACT, ISEE, etc. scoring 800 in math and 690 in English on the SAT, David was awarded a Dickinson Scholarship to the University of Miami, where he graduated with a bachelor’s degree in business administration. Additionally, David has worked as an instructor in online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.
This article has been viewed 53,990 times.
In the metric system, gram (g) is used to measure light mass, and kilogram (kg) is used to measure heavier mass. 1 kilogram is equal to 1,000 grams. Therefore, converting grams to kilograms is easy: just divide the number of grams by 1,000 .
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