Maths: Rounding – the ultimate challenge!

Right Year 5, we’ll be very impressed if anyone can solve this.

When a number is rounded to the nearest 100,000 it is 300,000.

When it is rounded to the nearest 10,000 it is 340,000.

What could the number be?

Don’t forget – there may be more than one answer.

Good luck!

21 thoughts on “Maths: Rounding – the ultimate challenge!

  • 14th October 2020 at 6:45 pm
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    It could be 341,000 and 342,000 and 343,000 and 344,000

    Done that is all I would think of

    Reply
    • 20th October 2020 at 4:08 pm
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      Well investigated Mia.

      Is 344,000 the highest number that it could be?

      Reply
  • 14th October 2020 at 8:21 pm
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    It could be any number under 345,000.

    The answer could be 340,000 ,341,000, 342,00, 343,000, 344,000.

    Reply
    • 20th October 2020 at 4:09 pm
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      Well investigated Jayden.

      Is 340,000 the lowest number that it could be?

      Reply
  • 14th October 2020 at 8:30 pm
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    It could be under the number 345,000.

    And the answer is 341,000, 342,000, 343,000, 344,000

    Reply
    • 20th October 2020 at 4:10 pm
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      Well investigated Zip.

      Is this the only number that it could be?

      Reply
  • 15th October 2020 at 2:50 pm
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    Th number can be from 335000 to 449000

    Reply
  • 15th October 2020 at 2:51 pm
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    Th number can be 335000-449000

    Reply
    • 20th October 2020 at 4:12 pm
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      Well investigated Franek.

      Does 449,000 round to 340,000 when rounded to the nearest ten?

      Reply
  • 15th October 2020 at 2:55 pm
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    hi i love these lessons and thank you

    Reply
    • 20th October 2020 at 4:12 pm
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      Hi Jake.

      Glad that you’re enjoying them.

      Have you solved this one yet?

      Mr Bushell

      Reply
  • 15th October 2020 at 2:59 pm
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    335,000 up to 349,999

    Reply
    • 20th October 2020 at 4:13 pm
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      Well investigated boys.

      What is 349,999 when rounded to the nearest 10?

      Reply
  • 15th October 2020 at 3:00 pm
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    it must be 405 i am not queit sure

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    • 20th October 2020 at 4:14 pm
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      Well investigated Amelia.

      Think about the place value of the numbers involved. How many digits do they have?

      Reply
  • 15th October 2020 at 9:03 pm
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    335,000
    337,000
    340,856
    343,009
    More than 9,900 ways.

    Reply
    • 20th October 2020 at 4:15 pm
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      Well investigated Hargun. Did you not fancy writing down all 9,900 ways?

      How do you know there are 9,900? What is the lowest and highest possibility?

      Reply
  • 16th October 2020 at 4:47 pm
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    . the first one no because if it is 100,000 and it is 4 and bellow it would round to 100,000. But if it is 5 and more it would round to 200,000 so it would not round to 300,000.

    Reply
    • 20th October 2020 at 4:17 pm
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      Hello Brooke

      You are looking for a number that rounds to 300,000 when rounded to the nearest hundred thousand and 340,000 when rounded to the nearest ten thousand.

      Does that help?

      Reply

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