Questions: 12. Montana has a land area of 145,546 square miles Which sentences are true? Select all that apply. A. To the nearest ten, the land area is 145,550 square miles. B. To the nearest hundred, the land area is 145,600 square miles. C. To the nearest thousand, the land area is 145,000 square miles. D. To the nearest ten thousand, the land area is 150,000 square miles.

Solution Steps

The land area of Montana is given as $145,546$ square miles.

To round $145,546$ to the nearest ten:

• Look at the ones digit, which is $6$.
• Since $6 \geq 5$, round up the tens digit by $1$.
• The rounded value is $145,550$.
• Option A is true.

To round $145,546$ to the nearest hundred:

• Look at the tens digit, which is $4$.
• Since $4 < 5$, keep the hundreds digit the same.
• The rounded value is $145,500$.
• Option B is false.

To round $145,546$ to the nearest thousand:

• Look at the hundreds digit, which is $5$.
• Since $5 \geq 5$, round up the thousands digit by $1$.
• The rounded value is $146,000$.
• Option C is false.

Final Answer