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22*85 = (20 + 2)*85 = 20*85 + 2*85 = 1700 + 170 = 1870

If you cannot see that 85*2 = 170, then you can apply the distributive property again, to give

20*(80 + 5) + 2*(80 + 5) = 20*80 + 20*5 + 2*80 + 2*5 = 1600 + 100 + 160 + 10 = 1870

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22x85 = (20 + 2)x(80 + 5) = 20x(80 + 5) + 2x(80+5) = 20x80 + 20x5 +2x80 + 2x5 = 1600 + 100 + 160 +10 = 1870 Although if I were doing it in my head I'd probably just do 22x85 = (20 + 2)*85 = 20*85 + 2*85 = 1700 + 170 = 1870.


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