Monday, 12 March 2018

fractions - Is the product of two numbers both less than one less than one



I'm bad at mathematics, and I wanted to know something.



Say there are two numbers a and b where a,bR 1<a<1 and 1<b<1
Is it necessary that a×b<1?




Edit: I was in hurry and didn't notice the big mistake I did


Answer



Yes, because |ab|=|a||b|<11=1, hence $-1

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