Speed Maths Session 2B

Dear Friends,


THE SPEED MATHEMATICS METHOD


I am now going to show you the speed mathematics way of working with two digit near to 100 number multiplication in this session


The problem now looks like this:


98


x 96


We now look at each number and ask, how many more do we need to make 100?


We start with the 98. If we have 98, how many more do we need to make 100?


The answer is 2. 98 plus 2 equals 100. We write 2 next to the 98. Our equation now looks like this:


98 - 02


x 96






We now go to 96. How many more to make 100? The answer is 4.


We write 4 next to the 96.


This is how the problem looks now:


98 - 02


x 96 - 04






We now take away, or subtract, crossways or diagonally. We either


subtract 2 from 96 or 4 from 98. It doesn’t matter which way we subtract—


the answer will be the same, so choose the calculation that looks


easier. Two from 96 is 94, or 4 from 98 is 94. Either way the answer is 94.


You only take away one time.


since it is 100 base we multiply 94 with 100 so its 9400


Write 9400 below answer line.


98 - 02


x 96 - 04


-----------


94










For the last part of the answer, you “times,” or multiply, the numbers


next to actual multiplication number. What is 2 times 4? Two times 4 means two fours added


together. Two fours are 8. since the compliment as two digit add zero in front of 8 as 08. Write the 08 as the last part of the answer.


The answer is 9408.


98 - 02


x 96 - 04


------------ -


9408










Any clarification kindly revert back to me.






Practice: Try this out (Don't skip this since higher level need this practice)






a) 96 × 96 = e) 98 × 94 =
b) 97 × 95 = f) 97 × 94 =
c) 95 × 95 = g) 98 × 92 =
d) 98 × 95 = h) 97 × 93 =






More fun to follow.


Note: We can instead of asking how many more to make it 100, you can use the formula we learned in 2A. eg. 98 complement no. is "all by 9 and last by 10" the answer is 9-9 = 0 , 10-8 = 2, so the complement no. is 02 and for 96, 9-9 = 0 , 10-6 = 4 and 04 is the complement no.


Thanks,


-Ramesh


9886556628

Speed Maths Session 2A

From the art of brain

Dear Friends,


I hope I need to cover the complement number before I proceed further.


There are 10,100,1000, .... base numbers, for an example for 10 base 1's complement number is 9. that means the number added with its complement will give its base number.


so this is how it follow number complement
1 9
2 8
3 7
4 6
5 5
6 4
4 6
3 7
2 8
1 9


For small number it is easy, When we go bigger number it will become difficult. Let we try 100 base few before we see a standard formula
number complement
10 90
20 80
.... so the number added with its complement number will give its base. So for the above number the base is 100. So now we need to remember a formula when we try a complement of big number.


Formulat: All from 9 and last from 10.


So we always use the number from left to right.
for example a complement of 1234 is all from 9 is subtract all number from 9 and the last digit(unit digit) from 10.
Note. The last digit should not be 0, if 0 then its earlier digit will be subtracted from 10.


So take 1234
so 9 - 1 = 8
9 - 2 = 7
9 - 3 = 6
10 - 4(last digit) = 6


so the complement number for 1234 is 8766


the number 5500 complement is
9 - 5 = 4
10 - 5 = 5 (the 5 in hundred position should be subtracted by 10 since remaining small digits are 0's.)


So the complement of 5500 is 4500


try the following
568945
365400
100000
265847
984565457
358479
8555457




Thanks,
Ramesh
9886556628

Speed Maths Session 1

The art of brain speed maths course free online.


Thanks to The art of brain sharing this.

Dear Friends,

THE SPEED MATHEMATICS METHOD

I am now going to show you the speed mathematics way of working with single digit near to 10 number multiplication in this session

The problem now looks like this:

    8

  x 6

We now look at each number and ask, how many more do we need to make 10?

We start with the 8. If we have 8, how many more do we need to make 10?

The answer is 2. Eight plus 2 equals 10. We write 2 next to the 8. Our equation now looks like this:

    8 - 2

 x 6

We now go to the 6. How many more to make 10? The answer is 4.

We write 4 next to the 6.

This is how the problem looks now:

    8 - 2

 x 6 - 4

We now take away, or subtract, crossways or diagonally. We either

take 2 from 6 or 4 from 8. It doesn’t matter which way we subtract—

the answer will be the same, so choose the calculation that looks

easier. Two from 6 is 4, or 4 from 8 is 4. Either way the answer is 4.

You only take away one time. Write 4 below answer line.

    8 - 2

 x 6 - 4

-----------

    4

For the last part of the answer, you “times,” or multiply, the numbers

next to actual multiplication number. What is 2 times 4? Two times 4 means two fours added

together. Two fours are 8. Write the 8 as the last part of the answer.

The answer is 48.

    8 - 2

  x 6 - 4

------------ -

    48

Note: I have trouble in explaining this more graphically. Moderation - Do you allow file attachment for easy printing? so I can upload the sheet scanned after writing on paper will give better understanding. Also I am plaining to handle few session if more parents are interested.

Any clarification kindly revert back to me.

Practice: Try this out (Don't skip this since higher level need this practice)

1) 9 x 9 = ?

2) 8 x 8 = ?

3) 7 x 7 = ?

4) 7 x 9 = ?

5) 8 x 9 = ?

6) 9 x 6 = ?

7) 5 x 9 = ?

8) 8 x 7 = ?

More fun to follow.

Thanks,

-Ramesh

9886556628