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Express the number apperaring in the fol...

Express the number apperaring in the following statements in standard form.
The population of india was about `1,027,000,000` in march, 2001.

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To express the population of India, which is given as `1,027,000,000`, in standard form, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the significant digits**: The number `1,027,000,000` has a significant digit of `1` followed by `027`. 2. **Place the decimal point**: To convert this number into standard form, we need to place the decimal point after the first significant digit. This gives us `1.027`. 3. **Count the number of places the decimal point has moved**: The original number is `1,027,000,000`, which can be written as `1.027` followed by how many places we moved the decimal point. The decimal point moved from the end of the number (after the last zero) to just after the `1`, which is 9 places to the left. 4. **Express in powers of ten**: Since we moved the decimal point 9 places to the left, we can express this in standard form as: \[ 1.027 \times 10^9 \] ### Final Answer: Thus, the population of India in standard form is: \[ 1.027 \times 10^9 \]
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MTG IIT JEE FOUNDATION-EXPONENTS AND POWERS-NCERT SECTION (EXERCISE 12.3)
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