a) Write the number as a whole number or decimat: \( 5.82 \times 10^{-4}=\square \) b) Write the number in scientific notation: \( 49,800=\square \)

Sure, let's address each part of the problem step by step. --- ### a) Write the number as a whole number or decimal: **Given:** \( 5.82 \times 10^{-4} \) **Solution:** The expression \( 5.82 \times 10^{-4} \) means \( 5.82 \) multiplied by \( 10^{-4} \), which is the same as dividing by \( 10,000 \): \[ 5.82 \times 10^{-4} = \frac{5.82}{10,000} = 0.000582 \] **Answer:** \[ 5.82 \times 10^{-4} = \boxed{0.000582} \] --- ### b) Write the number in scientific notation: **Given:** \( 49,800 \) **Solution:** To convert \( 49,800 \) to scientific notation: 1. **Identify the significant figures:** \( 49,800 \) has three significant figures: \( 4.98 \). 2. **Determine the power of 10:** Move the decimal point to the left until only one non-zero digit remains to the left of the decimal. \( 49,800 \) becomes \( 4.98 \times 10^4 \). **Answer:** \[ 49,\!800 = \boxed{4.98 \times 10^{4}} \] ---