Question
Find the following sum using Sankalan - Vyavakalnabhyam and Poornapoornabhyam:
(i) 282 + 718 + 796 + 524+ 804+ 376
(ii) 52 + 136 +48 + 64
(iii) 135 + 248 + 322 + 65
Answers
Given
( i ) 282 + 718 + 796 + 524 + 804 + 376
( A )
282 + 718 + 796 + 524 + 804 + 376
= (200+82) + (800-82) + (800-4) + (500+24) + (800+4) + (400-24)
= 200 + 800 + 800 + 500 + 800 + 400 + 82 - 82 -4 + 4 + 24 - 24
= 200 + 800 + 800 + 500 + 800 + 400
= 3500.
( B )
282 + 718 + 796 + 524 + 804 + 376
= ( 282 + 718 ) + ( 796 + 524 ) + ( 804 + 376 )
= 1000 + 1320 + 1180
= 3500.
( ii ) 52 + 136 + 48 + 64
( A )
52 + 136 + 48 + 64
= (50+2) + (100+36) + (50-2) + (100-36)
= 50 + 100 + 50 + 100 + 2 - 2 + 36 - 36
= 50 + 100 + 50 + 100
= 300.
( B )
52 + 136 + 48 + 64
= ( 52 + 136 ) + ( 48 + 64 )
= 188 + 112
= 300.
( iii ) 135 + 248 + 322 + 65
( A )
135 + 248 + 322 + 65
= (100+35) + (250-2) + (320+2) + (100-35)
= 100 + 250 + 320 + 100 + 35 - 35 - 2 + 2
= 100 + 250 + 320 + 100
= 770.
( B )
135 + 248 + 322 + 65
= ( 135 + 248 ) + ( 322 + 65 )
= 770.
To learn more...
1. brainly.in/question/9345134
2. brainly.in/question/3538596