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In a triangular arrangement of lanterns, the first ring uses 1 lantern, the second 2 lanterns, the third 3 lanterns, and so on up to the ninth ring. How many lanterns are used altogether?

Class 6Whole NumbersWhole Numbers
  • A45
  • B36
  • C54
  • D81

Step-by-Step Solution

Add 1 + 2 + 3 + … + 9. Pairing the ends gives , and the middle number 5 is left over, so the total is 40 + 5 = 45. Answering 36 stops at eight rings, and 81 is , which would be a square arrangement rather than a triangular one.
Answer: A) 45

Key idea: From counting to whole numbers

Natural numbers (1, 2, 3, …) answer 'how many?' when there is at least one of something. But what if there are none? You need a number for that — and that number is zero. Adding 0 to the natural numbers gives the whole numbers: 0, 1, 2, 3, …. Every whole number sits at a fixed point on the number line, and they never run out — for any whole number you pick, there is always a larger one.

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