The LHS shows 6×8

The RHS shows 2x3X2X2X2 dust ( the 8 is 2x2x2 and the 6 is 2×3 )

As far as the number 48 is concerned the order of rods in the tower is irrelevant, but this needs ‘proving’. Take my word for it at the moment.

So long as the tower is constructed using the rods on the right, the order is irrelevant.

So, as 2x2x2x2x3 is the dust, this means we combine these a pair at a time in any order:

**try it yourself**..that’s best…but

**here’s my mind at work for example:**

start with 2, double it double it double it, that’s 16, times 3 is 48 (2 4 8 16 48)

2 threes are six, double it, double it, double it, that’s 48 (6 12 24 48)

2 twos are 4, two fours are 8, three of them is 24, double it, 48

and so on…..

**IF** YOU HAVE THE **TIME** AND THE **SPACE** IN SCHOOL TO DO THIS **TILL THE COWS COME HOME** AND YOU ARE **LITTLE**, AND YOU **START SLOWLY** WITH THE **NUMBERS UP TO 10** AT FIRST, STUDYING THE NUMBERS **ONE BY ONE** FOR **A DAY OR TWO EACH** FOR EXAMPLE **WITHOUT STRESS**, YOU **WILL** **‘GET A FEEL’** FOR THE NUMBER YOU ARE STUDYING WHICH WILL BE **VERY POWERFUL** IN YOUR FUTURE STUDIES OF THE **NUMBER SYSTEM** AND **OPERATIONS** YOU WILL NO DOUBT BE REQUESTED TO CARRY OUT…

(In general, the present school arrangements almost totally inhibit this…)

**ps 6×8 is one piece of your ‘tables’, using the dust you see and get the ‘feel’ for 6×8, 8×6, 3×16, 16×3, 2×24, 24×2, 4×12, 12×4, never mind ‘half of 48 is 24’, ‘half of 12 is 6’, ‘half of 48 multiplied by 2 is 48’, ‘a quarter or fourth of 48 is 12’, ‘an eighth of 48 is a half of 12’…and so on till the cows come home…**

**yap yap yap…**

TRY IT