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. (b)

**(a) Rounding \(86,432,768\) to the nearest hundred thousand:** 1. Identify the rounding unit: \(100{,}000\). 2. Divide the population by \(100{,}000\): \[ \frac{86,432,768}{100{,}000} = 864.32768 \] 3. Round \(864.32768\) to the nearest whole number: \(864\). 4. Multiply back by \(100{,}000\): \[ 864 \times 100{,}000 = 86,400,000 \] So, the rounded population for the first territory is \(86,400,000\). --- **(b) Rounding \(1,629,842\) to the nearest million:** 1. Identify the rounding unit: \(1,000,000\). 2. Divide the population by \(1,000,000\): \[ \frac{1,629,842}{1{,}000,000} = 1.629842 \] 3. Round \(1.629842\) to the nearest whole number: \(2\) (since \(0.629842 \geq 0.5\)). 4. Multiply back by \(1,000,000\): \[ 2 \times 1{,}000,000 = 2,000,000 \] So, the rounded population for the second territory is \(2,000,000\).