Convert the following to numbers from scientific notation to standard notation: a. \( 6.65 \times 10^{-4}=\square \) b. \( 4.92 \times 10^{7}=\square \)

**a. Converting \( 6.65 \times 10^{-4} \) to standard notation** 1. Recognize that multiplying by \(10^{-4}\) means moving the decimal point 4 places to the left. 2. Starting with \(6.65\), move the decimal point 4 places to the left: - Moving 1 place: \(0.665\) - Moving 2 places: \(0.0665\) - Moving 3 places: \(0.00665\) - Moving 4 places: \(0.000665\) Thus, \[ 6.65 \times 10^{-4} = 0.000665 \] --- **b. Converting \( 4.92 \times 10^{7} \) to standard notation** 1. Recognize that multiplying by \(10^{7}\) means moving the decimal point 7 places to the right. 2. Starting with \(4.92\), move the decimal point 7 places to the right. Write down the digits as they shift: - \(4.92\) has 2 digits after the decimal, so after moving the decimal point past these digits, we need an additional \(7 - 2 = 5\) zeros. 3. Thus, \[ 4.92 \times 10^{7} = 49200000 \] Alternatively, writing with commas for clarity: \[ 4.92 \times 10^{7} = 49,200,000 \]