Name the place value to which each number was rounded. 11. 16.932 to 20 12. 0.581 to 0.58 13. 7.429 to 7.4 14. Estimate Round to the nearest tenth.

The digit in the tens place is 1, and the digit to its right is 6. Since $6 \ge 5$, the tens digit is rounded up to 2, and all subsequent digits become 0.
The place value is the $\boxed{\text{tens place}}$.

12. Name the place value to which 0.581 was rounded to 0.58.

The digit in the hundredths place is 8, and the digit to its right is 1. Since $1 < 5$, the hundredths digit is kept as it is.
The place value is the $\boxed{\text{hundredths place}}$.

13. Name the place value to which 7.429 was rounded to 7.4.

The digit in the tenths place is 4, and the digit to its right is 2. Since $2 < 5$, the tenths digit is kept as it is.
The place value is the $\boxed{\text{tenths place}}$.

14. Estimate Round $\star$ to the nearest tenth.

It is between 5.6 and 5.65.

Any number less than 5.65 will round down to 5.6.
The rounded value of $\star$ to the nearest tenth is $\boxed{\text{5.6}}$.

15. The area of a campground is exactly halfway between 25.9 acres and 26 acres. What is the area of the campground?

16. Model Real Life What is the greatest weight rounded to the nearest tenth?
The weights are $0.592 \text{ kg}$, $0.605 \text{ kg}$, $0.694 \text{ kg}$, $0.547 \text{ kg}$.

• $0.592 \text{ kg}$: The tenths digit is 5. The next digit is 9. Since $9 \ge 5$, round up 5 to 6. $\rightarrow 0.6 \text{ kg}$
• $0.605 \text{ kg}$: The tenths digit is 6. The next digit is 0. Since $0 < 5$, keep 6. $\rightarrow 0.6 \text{ kg}$
• $0.694 \text{ kg}$: The tenths digit is 6. The next digit is 9. Since $9 \ge 5$, round up 6 to 7. $\rightarrow 0.7 \text{ kg}$
• $0.547 \text{ kg}$: The tenths digit is 5. The next digit is 4. Since $4 < 5$, keep 5. $\rightarrow 0.5 \text{ kg}$

$0.6 \text{ kg}$, $0.6 \text{ kg}$, $0.7 \text{ kg}$, $0.5 \text{ kg}$.
The greatest weight rounded to the nearest tenth is $\boxed{\text{0.7 kg}}$.

17. Model Real Life What is the least weight rounded to the nearest hundredth?
The weights are $0.592 \text{ kg}$, $0.605 \text{ kg}$, $0.694 \text{ kg}$, $0.547 \text{ kg}$.

• $0.592 \text{ kg}$: The hundredths digit is 9. The next digit is 2. Since $2 < 5$, keep 9. $\rightarrow 0.59 \text{ kg}$
• $0.605 \text{ kg}$: The hundredths digit is 0. The next digit is 5. Since $5 \ge 5$, round up 0 to 1. $\rightarrow 0.61 \text{ kg}$
• $0.694 \text{ kg}$: The hundredths digit is 9. The next digit is 4. Since $4 < 5$, keep 9. $\rightarrow 0.69 \text{ kg}$
• $0.547 \text{ kg}$: The hundredths digit is 4. The next digit is 7. Since $7 \ge 5$, round up 4 to 5. $\rightarrow 0.55 \text{ kg}$

$0.59 \text{ kg}$, $0.61 \text{ kg}$, $0.69 \text{ kg}$, $0.55 \text{ kg}$.
The least weight rounded to the nearest hundredth is $\boxed{\text{0.55 kg}}$.

18. DIG DEEPER Round each weight to the nearest tenth. Which rounded value is closest to its recorded value? Which rounded value is farthest from its recorded value?
The weights are $0.592 \text{ kg}$, $0.605 \text{ kg}$, $0.694 \text{ kg}$, $0.547 \text{ kg}$.

• $0.592 \text{ kg} \rightarrow 0.6 \text{ kg}$
• $0.605 \text{ kg} \rightarrow 0.6 \text{ kg}$
• $0.694 \text{ kg} \rightarrow 0.7 \text{ kg}$
• $0.547 \text{ kg} \rightarrow 0.5 \text{ kg}$

• For $0.592 \text{ kg}$: $|0.592 - 0.6| = |-0.008| = 0.008$
• For $0.605 \text{ kg}$: $|0.605 - 0.6| = |0.005| = 0.005$
• For $0.694 \text{ kg}$: $|0.694 - 0.7| = |-0.006| = 0.006$
• For $0.547 \text{ kg}$: $|0.547 - 0.5| = |0.047| = 0.047$

The smallest difference is 0.005, so $0.605 \text{ kg}$ rounded to $0.6 \text{ kg}$ is the $\boxed{\text{closest}}$.
The largest difference is 0.047, so $0.547 \text{ kg}$ rounded to $0.5 \text{ kg}$ is the $\boxed{\text{farthest}}$.

19. Find the product. $7 \times 40 =$

20. Find the product. $5,000 \times 9 =$

21. Find the product. $8 \times 200 =$