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2016 Math Kangaroo

Problem 1

Problem 1 · 2016 Math Kangaroo Easy
Number Theory careful-countingoff-by-one

How many natural numbers are there strictly between 3.17 and 20.16?

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Answer: C — 17
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Hint 1 of 2
The natural numbers strictly between two values are the whole numbers larger than the smaller and smaller than the larger.
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Hint 2 of 2
Count the integers from 4 up to 20.
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Approach: count the integers in a range
  1. Natural numbers strictly between 3.17 and 20.16 are the whole numbers 4, 5, 6, ..., 20.
  2. That is 20 − 4 + 1 = 17 numbers.
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