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Which one is correct in the filling spac...

Which one is correct in the filling space ? 1 gram =.........kilogram.
(A) `1/1000`, (B) `10^(-3)`, ( C) 0.0001, (D) 1000

A

A,B

B

A,C

C

B,C

D

C,D

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question "Which one is correct in the filling space? 1 gram =.........kilogram," we need to convert grams to kilograms using the known conversion factor. ### Step-by-Step Solution: 1. **Understand the Conversion Factor**: We know that 1 kilogram (kg) is equal to 1000 grams (g). This means that to convert grams to kilograms, we need to divide the number of grams by 1000. 2. **Set Up the Equation**: We can express the relationship mathematically: \[ 1 \text{ gram} = \frac{1}{1000} \text{ kilograms} \] 3. **Convert to Decimal Form**: The fraction \(\frac{1}{1000}\) can also be expressed in decimal form: \[ \frac{1}{1000} = 0.001 \] 4. **Express in Scientific Notation**: The decimal \(0.001\) can also be written in scientific notation as: \[ 0.001 = 10^{-3} \] 5. **Identify the Correct Options**: From the options given: - (A) \( \frac{1}{1000} \) - (B) \( 10^{-3} \) - (C) \( 0.0001 \) - (D) \( 1000 \) We can see that both (A) and (B) are correct representations of the conversion from grams to kilograms. 6. **Conclusion**: Therefore, the correct answers are (A) and (B). ### Final Answer: The correct options are (A) \( \frac{1}{1000} \) and (B) \( 10^{-3} \).

To solve the question "Which one is correct in the filling space? 1 gram =.........kilogram," we need to convert grams to kilograms using the known conversion factor. ### Step-by-Step Solution: 1. **Understand the Conversion Factor**: We know that 1 kilogram (kg) is equal to 1000 grams (g). This means that to convert grams to kilograms, we need to divide the number of grams by 1000. 2. **Set Up the Equation**: ...
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