Long multiplication

Explosion 2: 346 x 289 = 99994
It's EASY... when you know how! Long multiplication

How to multiply two really BIG numbers

The old-fashioned difficult way...

346 x 289

First...

346 x 9

                 346

                   x9

      = 311₄1₅4

            = 3114

Then do...

346 x 80

                 346

                   x8

            = 2768

2768 x 10 = 27680

And...

346 x 200

346 x 2 x 100 = 69200

   346 x 289 =

               3114

         + 27680

         + 69200

       = 99994

Text Box: 3 4 6
1 2
6 8 2
2 3 4 8
4 2 8
2 3 5 9
7 6 4
9 9 9 9 4

Boxes and diagonals...

Set out 346 in boxes across the top...

Set out 289 down the side...

Multiply eg 6x9=54

6x8=48, 6x2=12, 4x9=36

Sum the diagonals... eg

4, 8+5+6, 2+4+2+3+7...

Double and add...

How the ancient Egyptians multiplied...

346 x 289

You only need to know how to double and add...

1 x 346 = 346

2 x 346 = 692

4 x 346 =

2 x 692 = 1384

8 x 346=

2 x 1384 = 2768

16 x 346 =

2 x 2768 = 5536

32 x 346 =

2 x 5536 = 11072

64 x 346 =

2 x 11072 = 221144

128 x 346 =

2 x 221144 = 44288

256 x 346 =

2 x 44288 =

88576

289 = 256 + 33

= 256 + 32 + 1

So... adding

346 x 289 =

           346

    + 11072

    + 88576

     = 99994

Whitfield, Oct 2001

Text Box: The easy way... in boxes
346 x 289 =...
300 40 6
300x200
= 60000 40x200
= 8000 6x200
=1200 200
300x80
= 24000 40x80
= 3200 6x80
= 480 80
300x9
=2700 40x9
= 360 6x9
= 54 9
Add up the answers:
60000
8000
1200
24000
3200
480
2700
360
54
Adding up... = 99994
346 x 289 = 99994 Down Arrow: � and the answer is 99994 Explosion 2: This way is BEST!! ...Like 346 x 289!*!!