\( \equiv \mathbf{1} \) Listen Which of these numbers is largest? \( 1 \times 10^{19} \) \( 8 \times 10^{29} \) \( 9 \times 10^{15} \) \( 9 \times 10^{27} \) \( 2 \times 10^{30} \)

To determine which of the given numbers is the largest, let's examine each one: 1. \( 1 \times 10^{19} \) 2. \( 8 \times 10^{29} \) 3. \( 9 \times 10^{15} \) 4. \( 9 \times 10^{27} \) 5. \( 2 \times 10^{30} \) **Step 1: Compare the Exponents** The exponent in scientific notation (\(10^n\)) indicates the scale of the number. The higher the exponent, the larger the number: - \( 10^{15} \) (smallest exponent) - \( 10^{19} \) - \( 10^{27} \) - \( 10^{29} \) - \( 10^{30} \) (largest exponent) **Step 2: Analyze the Coefficients for the Largest Exponent** The number with the highest exponent is \( 2 \times 10^{30} \). Even though \( 8 \times 10^{29} \) has a larger coefficient (8 vs. 2), its exponent \(10^{29}\) is smaller than \(10^{30}\). Therefore, \( 2 \times 10^{30} \) is larger. **Conclusion** The largest number among the given options is: \[ 2 \times 10^{30} \]