Let's add numbers from 1 to 100 step by step! ๐
1๏ธโฃ Imagine you have 1 apple ๐, 2 apples ๐๐, 3 apples ๐๐๐, all the way to 100 apples! That's a lot! ๐ฒ
2๏ธโฃ To add 1+2+3+...+100, we can use a smart trick:
**Pair the first and last number:** 1 + 100 = 101 ๐ + ๐
**Pair the second and second last:** 2 + 99 = 101 ๐๐ + ๐๐
**Keep pairing like this:** each pair adds to 101.
3๏ธโฃ How many pairs? Since 100 numbers, pairs = 100 รท 2 = 50 pairs.
4๏ธโฃ So total sum = pairs ร sum of each pair = 50 ร 101 = 5050.
๐ฏ Final answer: $$1 + 2 + 3 + \dots + 100 = 5050$$
Great job! You just learned a neat trick to add many numbers quickly! ๐
Sum 1 To 100 5D448C
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