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Round 68.9842 to the nearest even number and the nearest odd number.

Mathematics

ScanSolve AI Answer

Answer

68\text{68}

69\text{69}

Step-by-step solution

4 steps

To round 68.9842 to the nearest even number and the nearest odd number, we first identify the integers closest to 68.9842.

  1. Identify the integers surrounding 68.9842.

    The integers are 68 and 69.

  2. Determine the distance to each integer.

    Distance to 68: 68.9842−68=0.984268.9842 - 68 = 0.9842.
    Distance to 69: 69−68.9842=0.015869 - 68.9842 = 0.0158.

  3. Round to the nearest even number.

    The even numbers closest to 68.9842 are 68 and 70.
    Distance from 68.9842 to 68 is 0.9842.
    Distance from 68.9842 to 70 is 70−68.9842=1.015870 - 68.9842 = 1.0158.
    Since 0.9842<1.01580.9842 < 1.0158, the nearest even number is 68.

  4. Round to the nearest odd number.

    The odd numbers closest to 68.9842 are 67 and 69.
    Distance from 68.9842 to 67 is 68.9842−67=1.984268.9842 - 67 = 1.9842.
    Distance from 68.9842 to 69 is 69−68.9842=0.015869 - 68.9842 = 0.0158.
    Since 0.0158<1.98420.0158 < 1.9842, the nearest odd number is 69.

    The nearest even number is 68\boxed{\text{68}}.
    The nearest odd number is 69\boxed{\text{69}}.

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