Looking through a telescope

Algebra Level 3

What is 100 99 × 99 98 × . . . × 98 99 × 99 100 \frac{-100}{-99}\times\frac{-99}{-98}\times...\times\frac{98}{99}\times\frac{99}{100} ?

100 -1 -100 None of these 1

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1 solution

Alex Li
Jun 24, 2015

The expression is undefined because one of the terms is 1 0 \frac{-1}{0} .

Yeah! Nice camouflaging indeed.

Nihar Mahajan - 5 years, 11 months ago

Using multiplication of fractions -1/x multiplied by x/1 =1 no matter of the value of x as it is removed from the equation. I accept this is using a 0 times infinity argument but it is still valid

Arch Bloke - 5 years, 11 months ago

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