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Is 1.1 greater than 1.10

Updated: 4/28/2022
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13y ago

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1.1=1.10. Any zeros at the end of a decimal after the decimal point are unnecessary if they're after all other digits. For example, 5.4300=5.43. 5.0043 does not equal 5.43.

Answer:

1.1 is a number with two decimal places which can be that number exactly or rounded or truncated to that number:

  • If exactly 1.1 it is equal to 1.1 followed by any number of zeros
  • If rounded to one decimal place it is equal to any number from 1.05 to 1.149
  • If truncated at one decimal place it is equal to any number from 1.10 to 1.19
  • So the smallest it could be is 1.05 and the largest 1.19

1.10 is a more exact number in that it is brought to two decimal places. It can be that number exactly or rounded or truncated to that number:

  • If exactly 1.10 it is equal to 1.1 followed by any number of zeros
  • If rounded to two decimal places it is equal to any number from 1.095 to 1.1049
  • If truncated at two decimal places it is equal to any number from 1.100 to 1.109
  • So the smallest it could be is 1.095 and the largest 1.109

As a consequence the potential values of 1.1 bracket the potential values of 1.10

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13y ago
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