,-7 pi, 7, -19.__38__, ^3√175, order these from least to greatest

1 answer

To order the numbers from least to greatest, we need to approximate their values:

  1. -7π

    • Approximately -21.99 (since π ≈ 3.14, -7 * 3.14 ≈ -21.99)
  2. 7

    • Exactly 7.
  3. -19

    • Exactly -19.
  4. 0.38

    • Exactly 0.38.
  5. ³√175

    • We can estimate the cube root of 175.
    • Since \( 5^3 = 125 \) and \( 6^3 = 216 \), \( 5 < ³√175 < 6 \).
    • Approximating further, \( ³√175 \) is around 5.57 (using a calculator, it's approximately 5.57).

Now we can list the approximated values:

  • -7π ≈ -21.99
  • -19
  • 0.38
  • ³√175 ≈ 5.57
  • 7

Now putting them in order from least to greatest:

  1. -7π
  2. -19
  3. 0.38
  4. ³√175
  5. 7

Thus, the ordered list from least to greatest is: -7π, -19, 0.38, ³√175, 7.