Confused about method to approximate a decimal number.

[arroy_0205]

Homework Statement

I need to approximate the number 14.45 to nearest integer.

Homework Equations

The Attempt at a Solution

If I remember correctly, to approximate a decimal up to say 2nd decimal place, I look at the third digit and if this is greater than or equal to 5, then I increase the 2nd decimal place, otherwise keep the 2nd decimal digit as it is. e.g., 13.672 -> 13.67, 13.549-> 13.55
In my case what should I do? Should I first approximate to 1st decimal, then to nearest integer? Then should the answer be 14.45-> 14.5->15 Or is it operationally correct to note that .45<.5 so, 14.45->14? Which approach is correct?

 

[Mentallic]

Or is it operationally correct to note that .45<.5 so, 14.45->14? Which approach is correct?

This is the correct approach. If you're rounding to the nearest integer, then you just need to check what the tenths value is. The hundredths and so on won't affect the answer.

 

[HallsofIvy]

The real point is that .45 is less than 1/2 so 14.45 is close to 14 than to 15.

The moral- don't just follow "rules" thoughtlessly- think about what they mean.