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Home/ Questions/Q 1324
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sujeewani
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sujeewaniBegginer ( Level 6 )
Asked: February 13, 20232023-02-13T07:34:13+05:30 2023-02-13T07:34:13+05:30In: Arithmetic ( අංක ගණිතය )

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What is the smallest integer divided by 2,has a remain 1 ?…

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  1. Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
    2023-02-19T14:53:43+05:30Added an answer on February 19, 2023 at 2:53 pm

    We think that the question is “What is the smallest integer when divided by 2, has a remainder 1?”

    The way the question is posed there does not exist such smallest integer. In fact, the set of integers satisfying the condition that when divided by 2 has a remainder 1 is,

    {…,-3, -1, 1, 3, 5, …}. This set of integers has no smallest value.

    But if you are working only with positive integers, the smallest integer when divided by 2, has a remainder 1, would be 1.

    If you need further clarification, please let us know.

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    • sujeewani Begginer ( Level 6 )
      2023-02-21T13:06:24+05:30Replied to answer on February 21, 2023 at 1:06 pm

      Thanks madam…this is a grade 6 question in master guide book…

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      • Gaya Nayomi Level 1 ( Top Rated ) Senior Lecturer-University of Sri Jayewardenepura
        2023-02-21T21:43:57+05:30Replied to answer on February 21, 2023 at 9:43 pm

        You are most welcome Sujeewani!

        This collection is the same as the collection of odd numbers. For grade 6, according to their syllabus content, it will be suitable for their to grade level to say that the smallest such positive integer is 1. That is, the smallest positive odd number.

        Keep sending your questions or doubts in teaching. We are delighted to help! 🙂

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