Sure, let us solve the given question by following the steps carefully:
### Part (a)
Approximate the expected world population in 2050 by rounding to the nearest billion people:
1. The given value for the expected world population in 2050 is 9.7 billion people.
2. To round this number to the nearest billion, we look at the digit to the right of the decimal point (which is 7).
3. Since this digit (7) is greater than or equal to 5, we round up the integer part of the number.
4. Therefore, 9.7 billion rounded to the nearest billion is 10 billion.
### Part (b)
Write your answer from part (a) as a single digit times a power of 10 in exponential form:
1. From part (a), we have the rounded population value as 10 billion.
2. To express this in exponential form, recognize that 10 billion can be written as [tex]\(10 \times 10^9\)[/tex] (since we are dealing with billions, which corresponds to [tex]\(10^9\)[/tex]).
3. Therefore, the answer in exponential form is [tex]\(10 \times 10^9\)[/tex].
### Summary
- Part (a) The rounded world population in 2050: 10 billion
- Part (b) The exponential form of the rounded population: [tex]\(10 \times 10^9\)[/tex]
