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0.1 + (0.1)^2 + (0.1)^3 =
A) 0.1
B) 0.111
C) 0.1211
D) 0.2341
E) 0.3
B
A) 0.1
B) 0.111
C) 0.1211
D) 0.2341
E) 0.3
B
One approach is to convert each decimal to a fraction, and then apply the powers.boomgoesthegmat wrote:0.1 + (0.1)^2 + (0.1)^3 =
A) 0.1
B) 0.111
C) 0.1211
D) 0.2341
E) 0.3
B
We get: 0.1 + (0.1)² + (0.1)³ = 1/10 + (1/10)² + (1/10)³
= 1/10 + 1/100 + 1/1000
= 100/1000 + 10/1000 + 1/1000 [rewrite each fraction with common denominator of 1000]
= 111/1000
= 0.111 [rewrite as decimal]
Answer: B
Related Resources
The following videos cover the concepts/strategies that are useful for answering this question:
- Introduction to fractions: https://www.gmatprepnow.com/module/gmat ... video/1065
- Conversions with fractions and decimals: https://www.gmatprepnow.com/module/gmat ... video/1066
- Operations with fractions: https://www.gmatprepnow.com/module/gmat ... video/1068
Cheers,
Brent
