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A. Which of the 4 states has the least area? the greatest area? Write the number name for the area of each of these states. B. Draw a place-value chart. Record Kansas's area. Explain how the value of the 2 in the thousands place compares with the value of the 2 in the hundreds place.

Mathematics

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A.

  1. Identify the areas of the four states.

    • Montana: 147,042 square miles
    • Kansas: 82,278 square miles
    • Oregon: 98,381 square miles
    • Wyoming: 97,814 square miles
  2. Determine the state with the least area and the greatest area.

    Comparing the areas:
    82,278<97,814<98,381<147,04282,278 < 97,814 < 98,381 < 147,042
    The least area is 82,278 square miles (Kansas).
    The greatest area is 147,042 square miles (Montana).

  3. Write the number name for the area of each state.

    • Montana: One hundred forty-seven thousand, forty-two
    • Kansas: Eighty-two thousand, two hundred seventy-eight
    • Oregon: Ninety-eight thousand, three hundred eighty-one
    • Wyoming: Ninety-seven thousand, eight hundred fourteen

    B.

  4. Draw a place-value chart for Kansas's area (82,278).

    Ten ThousandsThousandsHundredsTensOnes82278\begin{array}{|c|c|c|c|c|} \hline \text{Ten Thousands} & \text{Thousands} & \text{Hundreds} & \text{Tens} & \text{Ones} \\ \hline 8 & 2 & 2 & 7 & 8 \\ \hline \end{array}
  5. Explain how the value of the 2 in the thousands place compares with the value of the 2 in the hundreds place.

    The 2 in the thousands place has a value of 2×1,000=2,0002 \times 1,000 = 2,000.
    The 2 in the hundreds place has a value of 2×100=2002 \times 100 = 200.
    The value of the 2 in the thousands place (2,000) is 10 times the value of the 2 in the hundreds place (200), because 2,000÷200=102,000 \div 200 = 10.

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