a ) 37 x 27 + 63 x 27
= ( 37 + 63 ) x 27
= 100 x 27
= 2700
b ) 1 + 2 + 3 + 4 + ... + 97 + 98 + 99
= ( 99 - 1 ) : 1 + 1
= 99 x ( 99 + 1 ) : 2
= 4950
c ) 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
= ( 1 + 9 ) + ( 2 + 8 ) + ( 3 + 7 ) + ( 4 + 6 ) + ( 5 + 10 )
= 10 + 10 + 10 + 10 + 15
= 55
37 x 27 + 63 x 27
= ( 37 + 63 ) x 27
= 100 x 27
= 2700
1 + 2 + 3 + 4 + ... + 97 + 98 + 99
= ( 1 + 99 ) + ( 2 + 98 ) + .... + ( 51 + 49 ) + 50
= 100 + 100 + ... + 100 + 50 ( có 49 số 100 )
= 100 x 49 + 50
= 4900 + 50
= 4950
1 + 2 + 3 +4 + 5 + 6 +7 + 8 + 9 + 10
= ( 1 + 9 ) + ( 2 + 8 ) + ( 3 + 7 ) + ( 4 + 6 ) + 10 + 5
= 10 + 10 + 10 + 10 +10 + 5
= 10 x 5 + 5
= 55