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So any double figure number after the first involves carrying the first figure to the left and adding it on. 34 „ Similarly 234 x 7 = 1638 We get 2 x 7 = 14 then 3 x 7 = 21 and 14 21 = 161 Next we have 4 x 7 = 28, so 161 2 8 = 1638 „ 282 x 4 = 1128 As 8 3 2 = 112 and 112 8 = 1128 „ And 43 x 7 = 28 2 1 = 301 (28 becomes 30) Try a few of these: 1) 56 x 6 = 4) 88 x 9 = 7) 45 x 7 = 2) 43 x 4 = 5) 66 x 7 = 8) 444 x 3 = 3) 77 x 5 = 6) 18 x 8 = 9) 383 x 7 = Mathematics is the Queen of the Sciences and Arithmetic the Queen of Mathematics.

Otherwise than according to her [mathematics] order nothing can exist, and nothing takes place in contradiction to her laws . . WILLIAM SPOTTISWOODE 43 IMPROVE YOUR MIND On a long car journey why not improve your mind by dividing the car numbers by 9, using this remarkably easy method. This follows on from the previous page because these sums may have carry figures. „ 842 ÷ 9 = 812 remainder 14 = 92 remainder 14 Actually a remainder of 9 or more is not usually permitted because we are trying to find how many 9’s there are in 842.

We add the first pair: 2 + 3 = 5, and we add the last pair: 3 + 4 = 7. Several multiplication methods have been shown so far. Find the sums below using three different methods for each: A) 98 x 92 B) 19 x 11 41 DELIGHT YOUR CHILD Show your child this truly beautiful method of dividing by 9. „ 23 ÷ 9 = 2 remainder 5 The first figure of 23 is 2, and this is the answer. The remainder is just 2 and 3 added up! „ 43 ÷ 9 = 4 remainder 7 The first figure, 4, is the answer and 4 + 3 = 7 is the remainder—could it be easier?

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