find the sum by shortcut method :
1 + 2 + 3+ 97 + 98 + 99 + 100
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Given : 1+2+3+97+98+99.
To Find : sum by shortcut method
Solution:
1+2+3+97+98+99
using Commutative property a + b = b + a
Hence changing the order
1 + 99 + 2 + 98 + 3 + 97
= ( 1 + 99) + (2 + 98) + (3 + 97)
= 100 + 100 + 100
= 300
1+2+3+97+98+99 = 300
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