Subjects algebra

Scientific Notation 15208B

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1. The problem asks to express the number 25 300 000 in scientific notation. 2. Scientific notation expresses a number as $a \times 10^n$ where $1 \leq a < 10$ and $n$ is an integer. 3. To convert 25 300 000, first write it as $25,300,000 = 2.53 \times 10^7$ because moving the decimal point 7 places to the left converts it to a number between 1 and 10. 4. Intermediate step showing the decimal shift: $$25,300,000 = 25,300,000.0 = \cancel{25,300,000.0} \rightarrow 2.53 \times 10^{\cancel{7}}$$ 5. Therefore, the scientific notation of 25 300 000 is: $$\boxed{2.53 \times 10^7}$$ This means 2.53 multiplied by 10 raised to the 7th power equals 25 300 000.