Questions: Convert 2,500,000,000 to scientific notation.

Convert 2,500,000,000 to scientific notation.
Transcript text: Convert $2,500,000,000$ to scientific notation.
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Solution

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Solution Steps

To convert a number to scientific notation, we need to express it as a product of a number between 1 and 10 and a power of 10. We do this by moving the decimal point in the number to the left until only one non-zero digit remains to the left of the decimal. The number of places we move the decimal point becomes the exponent of 10.

Step 1: Identify the Number to Convert

We start with the number 2,500,000,0002,500,000,000.

Step 2: Move the Decimal Point

To convert this number to scientific notation, we move the decimal point to the left until only one non-zero digit remains to the left of the decimal point. For 2,500,000,0002,500,000,000, we move the decimal point 9 places to the left, resulting in 2.52.5.

Step 3: Determine the Power of 10

The number of places we moved the decimal point becomes the exponent of 10. Since we moved the decimal 9 places, the exponent is 9.

Step 4: Write in Scientific Notation

Combine the number 2.52.5 with the power of 10 to express the original number in scientific notation: 2.5×1092.5 \times 10^9.

Final Answer

The scientific notation of 2,500,000,0002,500,000,000 is 2.5×109\boxed{2.5 \times 10^9}.

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