Bunuel wrote:

1 − 0.000001 =

A. (1.01)(0.99)

B. (1.11)(0.99)

C. (1.001)(0.999)

D. (1.111)(0.999)

E. (1.0101)(0.0909)

NEW question from GMAT® Quantitative Review 2019

(PS00918)

1 = 1²

0.000001 = 1/1,000,000 = 1/1,000² = (1/1,000)² = = (0.001)²

So, 1 and 0.000001 are SQUARES

This means 1 - 0.000001 is a

difference of squaresWe can factor a difference of squares as follows:

x² - y² = (x + y)(x - y)Likewise....

1 - 0.000001 = 1² - (0.001)²

= (1 + 0.001)(1 - 0.001)

= (1.001)(0.999)

Answer: C

Cheers,

Brent

_________________

Brent Hanneson – GMATPrepNow.com

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