What is the result

[Khalid]

What is the result when x is rounded to the nearest hundredth?

1) When x is rounded to the nearest thousandth the result is 0.455
2) The thousand digit is 5

Ans C

I had picked A. Do have a general question:

Suppose I have a number 0.4546 and asked to round to nearest hundredth. Do I round to the thousandth 0.455 first and then round to the nearest hundredth. Or do I not even look at the what is in the ten thousandth.

thanks

[RonPurewal]

Suppose I have a number 0.4546 and asked to round to nearest hundredth. Do I round to the thousandth 0.455 first and then round to the nearest hundredth. Or do I not even look at the what is in the ten thousandth.

the latter.
NEVER round in steps. if you allow that, you'll have absurdities such as 445 rounding up to 1000 ("first round to the nearest ten, then the nearest 100, then the nearest thousand").

ALL rounding is ALWAYS accomplished in one step.

to solve this problem most efficiently, you should rephrase the first statement.
When x is rounded to the nearest thousandth the result is 0.455 --> this just means that 0.4545 < x < 0.4555. if you don't understand why the left-hand one is "<" and the right-hand one is just "<", think about the rounding rules when the last digit is 5.
that's insufficient, because all the values from 0.4545 to 0.454999..... will round to 0.45, but all the values from 0.4550 to 0.4554999999... will round to 0.46. (you don't have to figure out these entire ranges; it's good enough to try the largest and smallest values and note that they round to different numbers.)

(2) is obviously insufficient, because you have no idea how big the number is at all.

combined, though: the only numbers in the range 0.4545 < x < 0.4555 such that the thousandths digit is 5 (i'm assuming that's what it's supposed to say) are the numbers from 0.4550 to 0.4554999999..., which are precisely the ones that round to 0.46.
sufficient.