Questions: Write the number in standard notation. 8.30 × 10^6

Write the number in standard notation.
8.30 × 10^6
Transcript text: Write the number in standard notation. \[ 8.30 \times 10^{6} \]
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Solution

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Solution Steps

To convert a number from scientific notation to standard notation, we need to multiply the base number by 10 raised to the given exponent. In this case, we multiply 8.30 by \(10^6\).

Step 1: Convert Scientific Notation to Standard Notation

To convert the number \( 8.30 \times 10^{6} \) to standard notation, we multiply the base \( 8.30 \) by \( 10^{6} \): \[ 8.30 \times 10^{6} = 8.30 \times 1000000 \]

Step 2: Perform the Multiplication

Calculating the multiplication gives: \[ 8.30 \times 1000000 = 8300000.000000001 \]

Step 3: Round the Result

Rounding the result to four significant digits, we have: \[ 8300000.000000001 \approx 8300000 \]

Final Answer

Thus, the number in standard notation is \(\boxed{8300000}\).

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