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(a) Plot 7√2 and 3π on the decimal number line. (b) Based on your answer above, compare 7√2 and 3π using <,...

(a) Plot 7√2 and 3π on the decimal number line.
(b) Based on your answer above, compare 7√2 and 3π using <, >, or =.

Answer

  1. To plot 7√2 and 3π on the decimal number line, first calculate their approximate decimal values:

    • 7√2 ≈ 7 * 1.414 ≈ 9.899
    • 3π ≈ 3 * 3.142 ≈ 9.426

    Place 7√2 around 9.9 and 3π around 9.4 on the number line.

  2. Since 7√2 ≈ 9.899 and 3π ≈ 9.426, we have 7√2 > 3π.

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