Question

find the sum by shortcut method :
1 + 2 + 3+ 97 + 98 + 99 + 100​

Answer 1

$\huge\red[A]\pink[N]\orange[S]\green[W]\blue[E]\gray[R]$

$300$

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Answer 2

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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