一、不计算,用发现的规律直接写出下面几题的积。
1. $6×7 = 42$
2. $99.99×1 = 99.99$
$6.6×6.7 = 44.22$
$99.99×2 = 199.98$
$6.66×66.7 = 444.222$
$99.99×3 = 299.97$
$6.666×666.7 = $
$99.99×4 = $
1. $6×7 = 42$
2. $99.99×1 = 99.99$
$6.6×6.7 = 44.22$
$99.99×2 = 199.98$
$6.66×66.7 = 444.222$
$99.99×3 = 299.97$
$6.666×666.7 = $
$99.99×4 = $
答案
1. 4444.2222 2. 399.96
二、用计算器计算下面各题,发现其规律。
1. $4×9 = $
2. $5×9 = $
$44×99 = $
$55×99 = $
$444×999 = $
$555×999 = $
$4444×9999 = $
$5555×9999 = $
3. $6×9 = $
4. $7×9 = $
$66×99 = $
$77×99 = $
$666×999 = $
$777×999 = $
$6666×9999 = $
$7777×9999 = $
1. $4×9 = $
2. $5×9 = $
$44×99 = $
$55×99 = $
$444×999 = $
$555×999 = $
$4444×9999 = $
$5555×9999 = $
3. $6×9 = $
4. $7×9 = $
$66×99 = $
$77×99 = $
$666×999 = $
$777×999 = $
$6666×9999 = $
$7777×9999 = $
答案
1. 36 4356 443556 44435556 2. 45 5445 554445 55544445 3. 54 6534 665334 66653334 4. 63 7623 776223 77762223
解析
1. $4×9 = 36$
$44×99 = 4356$
$444×999 = 443556$
$4444×9999 = 44435556$
2. $5×9 = 45$
$55×99 = 5445$
$555×999 = 554445$
$5555×9999 = 55544445$
3. $6×9 = 54$
$66×99 = 6534$
$666×999 = 665334$
$6666×9999 = 66653334$
4. $7×9 = 63$
$77×99 = 7623$
$777×999 = 776223$
$7777×9999 = 77762223$
$44×99 = 4356$
$444×999 = 443556$
$4444×9999 = 44435556$
2. $5×9 = 45$
$55×99 = 5445$
$555×999 = 554445$
$5555×9999 = 55544445$
3. $6×9 = 54$
$66×99 = 6534$
$666×999 = 665334$
$6666×9999 = 66653334$
4. $7×9 = 63$
$77×99 = 7623$
$777×999 = 776223$
$7777×9999 = 77762223$
三、不计算,运用规律直接写出得数。
$9×9 + 9 = 90$
$99×99 + 99 = 9900$
$999×999 + 999 = $
$9999×9999 + 9999 = $
$99999×99999 + 99999 = $
$999999×999999 + 999999 = $
$9999999×9999999 + 9999999 = $
$99999999×99999999 + 99999999 = $
$999999999×999999999 + 999999999 = $
$9×9 + 9 = 90$
$99×99 + 99 = 9900$
$999×999 + 999 = $
$9999×9999 + 9999 = $
$99999×99999 + 99999 = $
$999999×999999 + 999999 = $
$9999999×9999999 + 9999999 = $
$99999999×99999999 + 99999999 = $
$999999999×999999999 + 999999999 = $
答案
999000 99990000 9999900000 999999000000 99999990000000 9999999900000000 999999999000000000
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