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which of the following are natural numbers? 6.17 (with a repeating bar …

Question

which of the following are natural numbers? 6.17 (with a repeating bar over 17), 9, 9.36 (with a repeating bar over 6), 8

Explanation:

Step1: Recall natural numbers definition

Natural numbers are positive integers (1, 2, 3, ...) or sometimes include 0, but typically positive whole numbers. Decimals (including repeating decimals) are not natural numbers.

Step2: Analyze each number

  • \( 6.\overline{17} \): Repeating decimal, not integer → not natural.
  • \( 9 \): Positive integer → natural.
  • \( 9.3\overline{6} \): Repeating decimal, not integer → not natural.
  • \( 8 \): Positive integer → natural.

Answer:

9, 8 (i.e., the options with 9 and 8)