GMAT Practice Question: 1-0.000001=
Question
1-0.000001=
- (1.01) (0.99)
- (1.11) (0.99)
- (1.001) (0.999)
- (1.111) (0.999)
- (1.0101) (0.0909)
Topics: calculations, decimals, development formulas
Solution
Step 1
We first perform the subtraction by rewriting 1 with six decimal places to align the decimals
1.000000 - 0.000001 = 0.999999
Step 2
We recognize that option C multiplies to this value using the difference of squares formula
1.001 \times 0.999 = (1 + 0.001)(1 - 0.001) = 1^2 - (0.001)^2 = 1 - 0.000001 = 0.999999
Answer
Option C, since (1.001)(0.999) = 1 - 0.000001 = 0.999999
