Counting Learning Fast

this point i'll discuss the tricks to firmly learn fast arithmetic, this methodology will certainly be terribly useful for your company, your sister continues to be attending faculty and also your kid, your kid will look terribly sensible you will know bro and sis. 
if they will were sensible we are proud of them. 
lets begin learning ! 

1. multiplication 9, 99, or 999 
multiplying by 9 is truly multiplying by 10-1. 
therefore, 9 × 9 is that the same as 9 x ( 10-1 ) = 9 × 10-9 = 90-9 = 81. 
lets strive a more durable example : 
46 × 9 = 46 × ( 10-1 ) = 460-46 = 414. 
an additional example : 
68 × 9 = 680-68 = 612. 
to firmly multiply by 99, that suggests that we are multiplying by 100-1. 
so, 46 × 99 = 46 x ( 100-1 ) = 4600-46 = 4554. 
if therefore, you all should are aware that multiplication with multiplication 1000-1 999 
38 × 999 = 38 x ( 1000-1 ) = 38000-38 = 37962. 

will still follow ? lets go ! 

2. multiplication 11 
multiplication 11 suggests that we add a two of numbers, except regarding the numbers upon the end 

i really like to understand further details below ↓ ; 
to firmly multiply 436 by 11, begin from right to firmly left ( forever from right to firmly left ya ) 
initial write then total 6 with 6 points in future 3 to firmly obtain the quantity 9 
9 write the left 6. 
then total the 3 by 4 to find the quantity 7. write down 7. 
then, write the leftmost digit is 4. 
so, 436 × 11 = 4796. 
lets do another example : 3254 × 11. 
( 3 ) ( 3 +2 ) ( 2 +5 ) ( 5 +4 ) ( 4 ) = 35794. 
bear in mind forever begin from right to firmly left yah ! 
currently the additional troublesome example : 4657 × 11. 
( 4 ) ( 4 +6 ) ( 6 +5 ) ( 5 +7 ) ( 7 ). 
beginning direct from right write down 7. 
then 5 +7 = 12. 
write the 2 and carry the 1. 
6 +5 = 11, and the 1 we carried = 12. 
once once more write the 2 and carry the 1. 
4 +6 = 10, and the 1 we carried = 11. 
therefore, write 1 and carry 1. 
leftmost digit, 4, add the 1 we carried. 
be, 4657 × 11 = 51 227. 
hehehe, solidified ? this can be not too laborious, lets go again 

3. multiplication 5, 25, or 125 
multiplication via the same multiply 5 by 10 and after that with the 2, note : to firmly multiply by 10 simply add a zero with the back as to the figure 
example : 1000 x 5 = 5000 
once more, 12 × 5 = ( 12 × 10 ) / 2 = 120/2 = 60. 
another example : 
64 × 5 = 640/2 = 320. 
too, the 4286 × 5 = 42860/2 = 21430. 
to firmly multiply by 25, you multiply by 100 ( add 2 numbers from zero with the back ) and after that divide by 4. note : to firmly divide by 4, we could too divide by 2 twice 

64 × 25 = 6400/4 = 3200/2 = 1600. 

58 × 25 = 5800/4 = 2900/2 = 1450. 

to firmly multiply by 125, you multiply by 1000 ( add 3 numbers from zero with the back ) and after that divide by 8. note : to firmly divide by 8, we could too divide by 2 3 times 

32 × 125 = 32000/8 = 16000/4 = 8000/2 = 4000. 

48 × 125 = 48000/8 = 24000/4 = 12000/2 = 6000. 
straightforward right ? hehehe step once more ! 

4. multiplying 2 numbers that utilize a distinction of 2, 4, or 6 
for multiplication like this, i immediately love the examples ! ? 
take for instance : 12 × 14. ( 14-12 = 2... therefore this methodology might well be used ) 
initial we encounter the dead center variety between 12 and 14... therefore, 
12 
13 
14 

( that means 13 is that the middle variety ), next we live makes multiplication 13 x 13 and after that subtract 1. 
12 × 14 = ( 13 × 13 ) -1 = 168. 
16 × 18 = ( 17 × 17 ) -1 = 288. 
99 × 101 = ( 100 × 100 ) -1 = 10000-1 = 9999 
in case the distinction involving the 2 numbers is 4, the very same as before we encounter the dead center variety, for reappointment, then subtract 4, 
ok this example : 
11 × 15 = ( 13 × 13 ) -4 = 169-4 = one hundred sixty five. 
13 × 17 = ( 15 × 15 ) -4 = 225-4 = 221. 
in case the distinction involving the 2 numbers is 6, the very same as before we encounter the dead center variety, for reappointment, then subtract 9, 
ok this example : 

12 × 18 = ( 15 × 15 ) -9 = 216. 
17 × 23 = ( 20 × 20 ) -9 = 391. 

hehehe... this trick might well be used not merely for teens other then might well be up to firmly lots and lots of... 
there will be still additional tricks, simply... 
5. reappointment dozens numbers ending in 5 

to firmly that's terribly straightforward anyway.. 
example wish to'>we desire to calculate 35 x 35 
we simply multiply 3 x 4 = 12 ( variety 4 within the will of 3 and 1 ) 
then 5 x 5 = 25 
therefore 35 x 35 = 1225 

build it straightforward ? 
another example : sixty five x 65 
multiply 6 x 7 = 42 ( variety 7 within the will of 6 and 1 ) 
then 5 x 5 = 25 
therefore sixty five x sixty five = 4225 

from there we are aware that the reappointment numbers ending in 5 decades positively behind 25 points 

therefore 85 x 85 = 7225 ( announcing where attainable the manner ? )
6. wherein the multiplication tens digit is a similar and of course the second digit is the amount 10 
by way of example we need to multiply 42 x 48... 
here we could see that the very first digit within the whole tens are a similar ie 4 
whereas the second digit will be the sum of 2 + 8 = 10 

straightforward fast means : 
we multiply 4 by 4 +1 thus this result is 4 x ( 4 +1 ) = 4 x 5 = 20 
write the amount 20 
furthermore multiply 2 by 8 thus this result is 2 x 8 = 16 
write the amount 16 
be 42 x 48 = 2016 
simple right ? example once more : 
64 x 66 

we build : 
6 x ( 6 +1 ) = 6 x 7 = 42 
6 x 4 = 24 
the result : 
64 x 66 = 4224 
still confused ? 
example once more : 
83 x 87 

the formula : 
8 x ( 8 +1 ) = 8 x 9 = 72 
3 x 7 = 21 
the result : 
83 x 87 = 7221 

ok bro and sis ! ? hehehehe often to teach your son or daughter ! 
for that listed here is a little tricky, other then if often is listened to firmly anyway bro. 

7. dozens reappointment 
it wants a little of concentration 
eliminate the example we need to do reappointment 58 aka 58 x 58 
step 1 : 
multiply 5 by 5, 5 x 5 = 25 
multiply 8 by 8, 8 x 8 = 64 
write the results to firmly 2 earlier and feel in 2564 
step 2 : 
multiply 5 by 8 = 40 
duplicate these results, 40 x 2 = 80 
add 1 purpose zero, be 800 
step 3 : 
add along the 2564 with 800, 2564 + 800 = 3364 
that's the result 

58 x 58 = 3364 
hehehe, still confused ? 
example once more : 
32 x 32 
step 1 : 
3 x 3 = 9 ---- other then write 09 yes thus 2 digits often is created 
2 x 4 = 4 ---- other then write 04 yes thus 2 digits often is created 
each result in write menjai 0904 
step 2 : 
3 x 2 = 6 duplicate 6 x 2 = 12 
add a zero behind it and feel 120 
step 3 : 
120 + 0904 ---- suggests that 120 + 904 = 1024 
that's the result 
32 x 32 = 1024 
steady right ? 
need to strive once more ? 
be ! 
67 x 67 

6 x 6 = 36 
7 x 7 = 49 
3649 
6 x 7 x 2 = 84 and a zero thus 840 

3649 + 840 = 4489 
thus 67 x 67 = 4489 
theres a lot of ! 

8. multiply by 2, divide by 2 
if our youngsters have problem multiplying giant we could teach to firmly them to firmly divide by 2 and multiply by 2 
its an example : we need to multiply 14 x 16 
thus the issues we do is, multiply one ( between 14 or 16 ) with 2, and 1 share ( 14 or 16 ) with 2, till getting a straightforward multiplication. 

14 × 16 = 28 × 8 = 56 × 4 = 112 × 2 = 224. 
another example : 12 × 15 = 6 × 30 = 180 
48 × 17 = 24 × 34 = 12 × 68 = 6 × 136 = 3 × 272 = 816. 

basically it easier to firmly calculate when compared to the 6 x 30 12 x 15 right ? 
it's easier to firmly calculate when compared to the 122 x 2 14 x 16 
agree ?