WHO TOLD MATHS IS COMPLICATED?
HERE WE COULD STRIKE THE ANSWERS FOR THE FOLLOWING MULTIPLICATIONS, AND SQUARE NUMBER CALCULATIONS WITHIN 5 TO 10 SECONDS. ALL ARE HAVING SHORT CUT LOGICS :)
1. A) 51*51 = 2601 B) 71*71=5041 C) 31*31=961
Ex 51 * 51
then first digit multiply 5*5=25
then first digit add 5+5=10
last digit 1* 1=1 =25+(1) 0 1=2601
2. A)33*37=1221 B) 42*48=2016 C) 56*54=3024
ex 33*37
last digit multiply 3*7=21
first digit add one and multiply 3*4=12
answer 1221
3. A)95*95=9025 B) 75*75=5625 C) 95*95=9025
Ex 95*95
first digit add 1 and then multiply with second number first digit 10*9=90
both last digit multiply 5*5=25
Answer 9025
4. A)225*225=50625 B)625*625=390625 C)425=180625
Ex 425*425
first and third digit(45) then multiply with first digit 45*4=180
multiply last 25*25=625
add both 180625 answer
5. A)Square of 1111=1234321 B)Square of 11111=123454321
Ex: Square 1111
1111 is having 4 digits so write ascending upto 4 digits 1234(4 digits) and reduce again 321 so answer 1234321
6. A)Square of 999=998001 B)Square of 99999=9999800001
Ex : Square of 999
reduce 1 from 999=998 and then 999 is having 3 digits so add 001
answer 998001
7. A) Square of 122=14884 B)Square of 138= 19044
Ex: Square of 122
100+22 so add 22 = 144*100=14400 + square 22 is 484= 14884
8. A) Square of 84=7056 B) Square of 89=7921
Ex 84 is 100-16 then 84-16=68*100=6800 plus add 16*16=256
6800+256-7056
9. A)17*18=306 B)16*18=288 C) 19*19=361
Ex: 17*18
Add second number last digit (8) with first no 17+8=25 * 10 =250
7*8=56 add both 250=56=306 (11 to 19 short cuts)
10. A)26*26=676 B)27*29=783 C)24*28=672
26+6=32*20=640 then add 6*6=36 i.e., 676 (21 to 29 short cuts)
12. A)31*38=1178 B) 36*36=1296 C)35*31=1085
31+8=39*30=1170 then add 1*8=8 answer 1178 (31 to 39 short cuts)
13.A)9468*11=104148 B)838653*11=925183
14.A)108*109=11772 B)103*108=11124
Ex 108*109
100+8
100+9
add second number 9 with first number 108+9=11700
8*9=72 add both 11772 (100 to 150 short cuts)
15. A)92*96=8932 B)93*98-8524
Ex 92*96
92-8
96-4
Subtract 92-4=89*100=8900
multiply -4*-8=32
add both 8900+32=8932 (50 to 100 short cuts)
16. A)93*105=9765 B)99*109=10791
93-7
100+5
add 93 +5 =98*100=9800
-7*+5=-35 then 9800-35=9765 (50 to 150 short cuts)
Now say who told maths is complicated ????????
HERE WE COULD STRIKE THE ANSWERS FOR THE FOLLOWING MULTIPLICATIONS, AND SQUARE NUMBER CALCULATIONS WITHIN 5 TO 10 SECONDS. ALL ARE HAVING SHORT CUT LOGICS :)
1. A) 51*51 = 2601 B) 71*71=5041 C) 31*31=961
Ex 51 * 51
then first digit multiply 5*5=25
then first digit add 5+5=10
last digit 1* 1=1 =25+(1) 0 1=2601
2. A)33*37=1221 B) 42*48=2016 C) 56*54=3024
ex 33*37
last digit multiply 3*7=21
first digit add one and multiply 3*4=12
answer 1221
3. A)95*95=9025 B) 75*75=5625 C) 95*95=9025
Ex 95*95
first digit add 1 and then multiply with second number first digit 10*9=90
both last digit multiply 5*5=25
Answer 9025
4. A)225*225=50625 B)625*625=390625 C)425=180625
Ex 425*425
first and third digit(45) then multiply with first digit 45*4=180
multiply last 25*25=625
add both 180625 answer
5. A)Square of 1111=1234321 B)Square of 11111=123454321
Ex: Square 1111
1111 is having 4 digits so write ascending upto 4 digits 1234(4 digits) and reduce again 321 so answer 1234321
6. A)Square of 999=998001 B)Square of 99999=9999800001
Ex : Square of 999
reduce 1 from 999=998 and then 999 is having 3 digits so add 001
answer 998001
7. A) Square of 122=14884 B)Square of 138= 19044
Ex: Square of 122
100+22 so add 22 = 144*100=14400 + square 22 is 484= 14884
8. A) Square of 84=7056 B) Square of 89=7921
Ex 84 is 100-16 then 84-16=68*100=6800 plus add 16*16=256
6800+256-7056
9. A)17*18=306 B)16*18=288 C) 19*19=361
Ex: 17*18
Add second number last digit (8) with first no 17+8=25 * 10 =250
7*8=56 add both 250=56=306 (11 to 19 short cuts)
10. A)26*26=676 B)27*29=783 C)24*28=672
26+6=32*20=640 then add 6*6=36 i.e., 676 (21 to 29 short cuts)
12. A)31*38=1178 B) 36*36=1296 C)35*31=1085
31+8=39*30=1170 then add 1*8=8 answer 1178 (31 to 39 short cuts)
13.A)9468*11=104148 B)838653*11=925183
14.A)108*109=11772 B)103*108=11124
Ex 108*109
100+8
100+9
add second number 9 with first number 108+9=11700
8*9=72 add both 11772 (100 to 150 short cuts)
15. A)92*96=8932 B)93*98-8524
Ex 92*96
92-8
96-4
Subtract 92-4=89*100=8900
multiply -4*-8=32
add both 8900+32=8932 (50 to 100 short cuts)
16. A)93*105=9765 B)99*109=10791
93-7
100+5
add 93 +5 =98*100=9800
-7*+5=-35 then 9800-35=9765 (50 to 150 short cuts)
Now say who told maths is complicated ????????
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