Find the rounded population of the following territories. (a) The first territory, whose population was \( 86,432,768 \), rounding to the nearest hundred thousand. (b) The second territory, whose population was \( 1,629,842 \), rounding to the nearest million. (a) The first territory, whose population was \( 86,432,768 \), rounding to the nearest hundred thousand. \( 86,400,000 \) (b) The second territory, whose population was \( 1,629,842 \), rounding to the nearest million. million

**Step 1. Rounding the first territory's population to the nearest hundred thousand** We have the population \[ 86,432,768 \] and we want to round it to the nearest hundred thousand. 1. Divide the number by \( 100{,}000 \): \[ \frac{86,432,768}{100{,}000} = 864.32768 \] 2. Round \( 864.32768 \) to the nearest whole number: Since the decimal part \( 0.32768 \) is less than \( 0.5 \), we round down to \( 864 \). 3. Multiply the rounded number by \( 100{,}000 \): \[ 864 \times 100{,}000 = 86,400,000 \] **Step 2. Rounding the second territory's population to the nearest million** We have the population \[ 1,629,842 \] and we want to round it to the nearest million. 1. Divide the number by \( 1,000,000 \): \[ \frac{1,629,842}{1,000,000} = 1.629842 \] 2. Round \( 1.629842 \) to the nearest whole number: Since the decimal part \( 0.629842 \) is greater than \( 0.5 \), we round up to \( 2 \). 3. Multiply the rounded number by \( 1,000,000 \): \[ 2 \times 1,000,000 = 2,000,000 \] **Final Answers** (a) The rounded population of the first territory is \[ 86,400,000 \] (b) The rounded population of the second territory is \[ 2,000,000 \]