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)

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**(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 $$86,400,000$$.

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**(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 $$2,000,000$$.
**(a) The first territory's population is 86,400,000 when rounded to the nearest hundred thousand.** **(b) The second territory's population is 2,000,000 when rounded to the nearest million.**

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