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How many grams are in 1 kilogram?

[tex]\[ 1 \, \text{kg} = \, [?] \, \text{g} \][/tex]

A. 100 g or [tex]\( 10^2 \, \text{g} \)[/tex]
B. 1000 g or [tex]\( 10^3 \, \text{g} \)[/tex]
C. [tex]\( \frac{1}{100} \, \text{g} \)[/tex] or [tex]\( 10^{-2} \, \text{g} \)[/tex]
D. [tex]\( \frac{1}{10} \, \text{g} \)[/tex] or [tex]\( 10^{-1} \, \text{g} \)[/tex]

Sagot :

GinnyAnsweridn
To find how many grams are in 1 kilogram, we can use the basic principles of unit conversion. Here's a detailed, step-by-step explanation:

1. Understand the Units: A kilogram (kg) is a unit of mass in the metric system, and it is larger than a gram (g). To convert from kilograms to grams, we need to know the conversion factor.

2. Conversion Factor: The metric system is based on powers of 10. Specifically, 1 kilogram is equal to 1000 grams. This is a standardized conversion factor.

3. Apply the Conversion Factor: To convert 1 kilogram to grams, you multiply the number of kilograms by the conversion factor.

[tex]\[ 1 \, \text{kg} \times 1000 \, \frac{\text{g}}{\text{kg}} = 1000 \, \text{g} \][/tex]

So, 1 kilogram is equal to 1000 grams.

4. Choose the Correct Option: Given the options:

- 100 g or [tex]\(10^2\)[/tex] g
- 1000 g or [tex]\(10^3\)[/tex] g
- [tex]\(1 / 100\)[/tex] g or [tex]\(10^{-2}\)[/tex] g
- [tex]\(1 / 10\)[/tex] g or [tex]\(10^{-1}\)[/tex] g

The correct answer is "1000 g or [tex]\(10^3\)[/tex] g".

Therefore, there are 1000 grams in 1 kilogram. Thus the final answer is:

[tex]\[ 1 \, \text{kg} = 1000 \, \text{g} \][/tex]
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