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CBSE Class 8 Answered

Sir please again explain step 4 of  diagonal method
Asked by kumar54321 | 21 Apr, 2015, 05:19: PM
answered-by-expert Expert Answer
C o n s i d e r space t h e space e x a m p l e space g i v e n space i n space t h e space t r a i l i n g space p o s t. W e space n e e d space t o space f i n d space t h e space s q u a r e space o f space t h e space n u m b e r space 678. A s s u m i n g space t h a t space y o u space a r e space c l e a r space t i l l space s t e p space 3. L e t space u s space o b s e r v e space s t e p space 3 space f i r s t.
 
T h e space n u m b e r space i n space t h e space l a s t space d i a g o n a l space i s space 4 A n d space t h e space n u m b e r s space i n space s e c o n d space l a s t space i s space 6 comma 6 comma 6 N u m b e r s space i s space 3 r d space l a s t space i s space 8 comma 5 comma 9 comma 5 comma 8 N u m b e r s space i n space 3 r d space d i a g o n a l space i s space 4 comma 2 comma 4 comma 2 comma 4 N u m b e r s space i n space 2 n d space d i a g o n a l space i s space 4 comma 6 comma 4 N u m b e r space i n space 1 s t space d i a g o n a l space i s space 3.  N o w space l i s t space t h e space a b o v e space d i a g o n a l space n u m b e r s space i n space s e c o n d space c o l u m n space o f space t h e space t a b l e space i n space s t e p space 4. A d d space a l l space t h e space c o r r e s p o n d i n g space n u m b e r s space a n d space l i s t space i t space i n space t h e space t h i r d space c o l u m n space o f space t h e space t a b l e comma  C o n s i d e r space t h e space n u m b e r s space i n space t h e space t h i r d space c o l u m n. space A d d space t h e space n u m b e r space i n space t h e space f i r s t space c e l l space w i t h space 0 space t o space g i v e space a space n u m b e r space i n space t h e space f i r s t space c e l l space o f space f o u r t h space c o l u m n. I n space t h i s space s t e p comma space 4 space i s space b e i n g space a d d e d space t o space 0 space t o space g i v e space 4. W r i t e space t h i s space 4 space i n space t h e space f i r s t space c e l l space o f space f o u r t h space c o l u m n. S i n c e space t h e space s u m space 4 space i s space a space sin g l e space d i g i t comma space t h e r e space i s space n o space c a r r y space o b t a i n e d. W r i t e space t h i s space c a r r y space 0 space i n space t h e space f i r s t space c e l l space o f space t h e space f i f t h space c o u m n space a n d space 4 space i n space t h e space f i r s t space c e l l space o f space s i x t h space c o l u m n.  N o w space a d d space t h e space n u m b e r space i n space t h e space s e c o n d space c e l l space o f space t h i d space c o l u m n space w i t h space t h e space c a r r y space i n space t h e space f i r s t space c e l l space o f space f i f t h space c o l u m n. W r i t e space t h i s space s u m space i n space t h e space s e c o n d space c e l l space o f space f o u r t h space c o l u m n. T h u s comma space 18 plus 0 equals 18 W r i t e space 18 space i n space t h e space s e c o n d space c e l l space o f space f o u r t h space c o l u m n comma space c a r r y space 1 space i n space t h e space s e c o n d space c e l l space o f space f i f t h space c o l u m n space a n d space 8 space i n space t h e space s e c o n d space c e l l space o f space s i x t h space c o l u m n.  N o w space a d d space t h e space n u m b e r s space 8 plus 5 plus 9 plus 5 plus 8 space t o space g e t space 35. W r i t e space t h i s space 35 space i n space t h e space t h i r d space c e l l space o f space t h i r d space c o l u m n. N o w space a d d space t h e space n u m b e r space i n space t h e space t h i r d space c e l l space o f space t h i d space c o l u m n space w i t h space t h e space c a r r y space i n space t h e space s e c o n d space c e l l space o f space f i f t h space c o l u m n. W r i t e space t h i s space s u m space i n space t h e space t h i r d space c e l l space o f space f o u r t h space c o l u m n. T h u s comma space 35 plus 1 equals 36 W r i t e space 36 space i n space t h e space t h i r d space c e l l space o f space f o u r t h space c o l u m n comma space c a r r y space 3 space i n space t h e space t h i r d space c e l l space o f space f i f t h space c o l u m n space a n d space 6 i n space t h e space t h i r d space c e l l space o f space s i x t h space c o l u m n.  N o w space a d d space t h e space n u m b e r s space 4 plus 2 plus 4 plus 2 plus 4 space t o space g e t space 16. W r i t e space t h i s space 16 space i n space t h e space f o u r t h space c e l l space o f space t h i r d space c o l u m n. N o w space a d d space t h e space n u m b e r space i n space t h e space f o u r t h space c e l l space o f space t h i d space c o l u m n space w i t h space t h e space c a r r y space i n space t h e space t h i r d space c e l l space o f space f i f t h space c o l u m n. W r i t e space t h i s space s u m space i n space t h e space f o u r t h space c e l l space o f space f o u r t h space c o l u m n. T h u s comma space 16 plus 3 equals 19 W r i t e space 19 space i n space t h e space f o u r t h space c e l l space o f space f o u r t h space c o l u m n comma space c a r r y space 1 space i n space t h e space f o u r t h space c e l l space o f space f i f t h space c o l u m n space a n d space 9 i n space t h e space f o u r t h space c e l l space o f space s i x t h space c o l u m n.  N o w space a d d space t h e space n u m b e r s space 4 plus 6 plus 4 space t o space g e t space 14. W r i t e space t h i s space 14 space i n space t h e space f i f t h space c e l l space o f space t h i r d space c o l u m n. N o w space a d d space t h e space n u m b e r space i n space t h e space f i f t h space c e l l space o f space t h i d space c o l u m n space w i t h space t h e space c a r r y space i n space t h e space f o u r t h space c e l l space o f space f i f t h space c o l u m n. W r i t e space t h i s space s u m space i n space t h e space f i f t h space c e l l space o f space f o u r t h space c o l u m n. T h u s comma space 14 plus 1 equals 15 W r i t e space 15 space i n space t h e space f i f t h space c e l l space o f space f o u r t h space c o l u m n comma space c a r r y space 1 space i n space t h e space f i f t h space c e l l space o f space f i f t h space c o l u m n space a n d space 5 i n space t h e space f i f t h space c e l l space o f space s i x t h space c o l u m n.  N o w space t h e space f i n a l space n u m b e r space i s space 3. A d d space t h i s space 3 space w i t h space t h e space c a r r y space 1 space t o space g e t space 4. W r i t e space t h i s space 4 space i n space t h e space s i x t h space c e l l space o f space f o u r t h space c o l u m n. T h e r e space a r e space n o space s u b s e q u e n t space n u m b e r s space a n d space n o space c a r y. P u t space 0 space i n space t h e space s i x t h space c e l l space o f space f i f t h space c o l u m n space a n d space w r i t e space 4 space i n space t h e space s i x t h space c e l l space o f space s i x t h space c o l u m n.  N o w space c o n s i d e r space t h e space n u m b e r s space i n space t h e space s i x t h space c o l u m n. W r i t e space t h e space n u m b e r s space i n space t h e space r e v e r s e space d i r e c t i o n. T h u s space t h e space s q u a r e space o f space 678 space i s space 459684. space space space space space space space     Answered by Vimala Ramamurthy | 24 Apr, 2015, 11:23: AM

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