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If n = 2.0453 and n* is the decimal obtained by rounding n to the nearest hundredth, what is the value of n* – n?
(A) -0.0053
(B) -0.0003
(C) 0.0007
(D) 0.0047
(E) 0.0153
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VERITAS PREP OFFICIAL SOLUTION
A quick note on place value nomenclature:
Given a decimal 345.789, we know that 5 represents the units digit, 4 the tens digit and 3 the hundreds digit. Also, 7 represents the tenths digit, 8 the hundredths digit and 9 the thousandths digit and so on…
Now let’s go back to this question:
n = 2.0453
We need to round n to the nearest hundredth which means we will retain 2 digits after the decimal. The third digit after the decimal is 5 so 2.0453 rounded to the nearest hundredth is 2.05.
Thus n* – n = 2.05 – 2.0453 = 0.0047
Answer (D)
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