Express the following in standard form: 5,00,00,000.
Understand the Problem
The question is asking to express the given number 5,00,00,000 in standard form, which involves converting it into a scientific notation format.
Answer
The standard form is $5.0 \times 10^7$.
Answer for screen readers
The standard form of 5,00,00,000 is $5.0 \times 10^7$.
Steps to Solve
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Identify the number in numerical form
The number given is 5,00,00,000. This can be written in standard numerical format as 50000000. -
Moving the decimal point
To express this number in standard form (scientific notation), first identify where to place the decimal. For 50000000, the decimal point is after the last zero: 50000000.0. -
Shifting the decimal
Now, move the decimal point to the left until you have a number between 1 and 10. In this case, move the decimal 7 places to the left:
$$ 50000000 = 5.0 $$ -
Counting the power of ten
Since you moved the decimal 7 places to the left, this means you will multiply by $10^7$. Thus, the final expression in scientific notation is:
$$ 5.0 \times 10^7 $$
The standard form of 5,00,00,000 is $5.0 \times 10^7$.
More Information
Standard form, or scientific notation, helps express large numbers in a compact format, making them easier to read and use in calculations.
Tips
- Not moving the decimal point the correct number of places. Always count accurately from the original position of the decimal.
- Forgetting to include the exponent when expressing the number in scientific notation. Ensure you note how many places you've moved the decimal.
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