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Make the smallest and greatest four-digit numbers using the given digits.

Mathematics

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: Make the smallest and the greatest four-digit numbers with the given digits.

To make the smallest number, arrange the digits in ascending order. If there is a 0, place it as the second digit to ensure it's a four-digit number.
To make the greatest number, arrange the digits in descending order.

  • a) Digits: $3, 6, 9, 5$
    • Smallest number: 3569
    • Greatest number: 9653
  • b) Digits: $4, 2, 6, 8$
    • Smallest number: 2468
    • Greatest number: 8642
  • c) Digits: $7, 1, 0, 2$
    • Smallest number: 1027
    • Greatest number: 7210
  • d) Digits: $5, 8, 8, 8$
    • Smallest number: 5888
    • Greatest number: 8885
  • e) Digits: $4, 2, 9, 7$
    • Smallest number: 2479
    • Greatest number: 9742
  • f) Digits: $6, 0, 0, 4$
    • Smallest number: 4006
    • Greatest number: 6400
  • g) Digits: $8, 7, 0, 1$
    • Smallest number: 1078
    • Greatest number: 8710
  • h) Digits: $7, 2, 2, 8$
    • Smallest number: 2278
    • Greatest number: 8722

: Tick Yes or No.

a) You are counting by hundreds. You start counting at 4572. Will you count 5072?

  1. Understand counting by hundreds.

    This means adding 100 to the previous number each time.

  2. Start counting from 4572.

    The sequence would be:
    4572
    4572+100=46724572 + 100 = 4672
    4672+100=47724672 + 100 = 4772
    4772+100=48724772 + 100 = 4872
    4872+100=49724872 + 100 = 4972
    4972+100=50724972 + 100 = 5072

  3. Check if 5072 is in the sequence.

    Yes, 5072 is in the sequence.

    The answer is: Yes\boxed{\text{Yes}}

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