Find the rounded population of the following territories. (a) The first territory, whose population was \( 7,381,692 \), rounding to the nearest ten thousand. (b) The second territory, whose population was \( 71,367,278 \), rounding to the nearest million. (a) The first territory, whose population was \( 7,381,692 \), rounding to the nearest ten thousand. (

**Step 1. Rounding the first territory’s population to the nearest ten thousand** The given population is \[ 7,\!381,\!692. \] To round to the nearest ten thousand, we focus on the ten-thousands and thousands digits. Write the number by place value: - Millions: \(7\) - Hundred-thousands: \(3\) - Ten-thousands: \(8\) - Thousands: \(1\) - Hundreds: \(6\) - Tens: \(9\) - Ones: \(2\) We look at the thousands digit (which is \(1\)) to decide if we round the ten-thousands digit up or keep it the same. Since \(1\) is less than \(5\), we keep the ten-thousands digit as is and replace all the digits to its right with zeros. Thus, rounding \(7,\!381,\!692\) to the nearest ten thousand gives: \[ 7,\!380,\!000. \] --- **Step 2. Rounding the second territory’s population to the nearest million** The given population is \[ 71,\!367,\!278. \] To round to the nearest million, we focus on the millions and hundred-thousands digits. Write the number by place value: - Ten-millions: \(7\) - Millions: \(1\) (so the number is \(71\) million so far) - Hundred-thousands: \(3\) - Ten-thousands: \(6\) - Thousands: \(7\) - Hundreds: \(2\) - Tens: \(7\) - Ones: \(8\) We check the hundred-thousands digit (which is \(3\)) to decide whether to round the millions digit up or keep it the same. Since \(3\) is less than \(5\), we round down, meaning we keep the millions figure as is and change all digits to the right to zeros. Thus, rounding \(71,\!367,\!278\) to the nearest million gives: \[ 71,\!000,\!000. \] --- **Final Answers:** (a) \(7,\!380,\!000\) (b) \(71,\!000,\!000\)