Place 15, 78, 35, 64, 29, 23, 65, 55, 27, 45 in ascending order.

2024

Place 15, 78, 35, 64, 29, 23, 65, 55, 27, 45 in ascending order.

  1. A.

    15, 23, 27, 29, 35, 45, 55, 64, 65, 78

  2. B.

    78, 15, 45, 65, 29, 23, 64, 55, 27, 35

  3. C.

    45, 78, 35, 78, 29, 23, 65, 55, 27, 64

  4. D.

    64, 78, 65, 15, 29, 55, 35, 23, 27, 45

Attempted by 8 students.

Show answer & explanation

Correct answer: A

Ascending order means arranging a group of numbers from the smallest to the largest, so that each number in the sequence is greater than the one immediately before it.

  1. List the ten given numbers as they appear: 15, 78, 35, 64, 29, 23, 65, 55, 27, 45.

  2. Compare all ten values and pick out the smallest one first: 15.

  3. From the remaining values, repeatedly pick the next smallest one at a time: 23, then 27, then 29, then 35, then 45, then 55, then 64, then 65, and finally 78.

  4. Writing these picks in the order they were selected gives the fully sorted sequence: 15, 23, 27, 29, 35, 45, 55, 64, 65, 78.

As a check, the sorted sequence still contains exactly the same ten values that were given (nothing added or dropped), and every consecutive pair increases (15 < 23 < 27 < 29 < 35 < 45 < 55 < 64 < 65 < 78), confirming the arrangement is genuinely in ascending order.

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