Q163
If M = 0.1 + (0.1)2 + (0.01)2 and N = 0.3 + (0.03)2 + (0.003)2, then what is the value of M + N?
A.
0.411009
AnswerB.
0.413131
C.
0.313131
D.
0.131313
Answer: Option A
Solution
Answer: Option A
Solution:
M = 0.1 + (0.1)2 + (0.01)2N = 0.3 + (0.03)2 + (0.003)2
M + N = 0.1 + (0.1)2 + (0.01)2 + (0.3) + (3 × 0.01)2 + (3 × 0.001)2
= 0.1 + (0.1)2 + (0.01)2 + 0.3 + 9 × (0.01)2 + 9 × (0.001)2
= 0.4 + (0.1)2 + 10 × (0.01)2 + 9 × (0.001)2
= 0.4 + 0.01 + 0.001 + 0.000009
= 0.411009