If p = 5.18r7, what is the result when p is subtracted from p rounded to the nearest thousandth?
A
-0.001
B
-0.0007
C
-0.0003
D
0.0003
E
0.001
A
-0.001
B
-0.0007
C
-0.0003
D
0.0003
E
0.001
Algebraic Solution:himu wrote:If p = 5.18r7, what is the result when p is subtracted from p rounded to the nearest thousandth?
p = 5.18r7, where r is an integer such that 0 ≤ r ≤ 9
If 0 ≤ r ≤ 8, p rounded to the nearest thousandth = 5.18q, where q is an integer such that 0 ≤ q ≤ 9 and q = (r + 1)
In this case, required answer = (5.18q - 5.18r7) = 0.0003
If r = 9, p rounded to the nearest thousandth = 5.190
In this case, required answer = (5.190 - 5.1897) = 0.0003
Hence, the correct answer is D.
