Subjects arithmetic

Sum 1 To 100 5D448C

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Let's add numbers from 1 to 100 step by step! ๐ŸŽ‰ 1๏ธโƒฃ Imagine you have 1 apple ๐ŸŽ, 2 apples ๐ŸŽ๐ŸŽ, 3 apples ๐ŸŽ๐ŸŽ๐ŸŽ, all the way to 100 apples! That's a lot! ๐Ÿ˜ฒ 2๏ธโƒฃ To add 1+2+3+...+100, we can use a smart trick: **Pair the first and last number:** 1 + 100 = 101 ๐Ÿ + ๐ŸŽ **Pair the second and second last:** 2 + 99 = 101 ๐ŸŽ๐ŸŽ + ๐Ÿ๐Ÿ **Keep pairing like this:** each pair adds to 101. 3๏ธโƒฃ How many pairs? Since 100 numbers, pairs = 100 รท 2 = 50 pairs. 4๏ธโƒฃ So total sum = pairs ร— sum of each pair = 50 ร— 101 = 5050. ๐ŸŽฏ Final answer: $$1 + 2 + 3 + \dots + 100 = 5050$$ Great job! You just learned a neat trick to add many numbers quickly! ๐ŸŒŸ