## coolaidd 3 years ago What is 215 to the nearest hundredth?

1. Bhim

2. AlexPR787

xlog12=log215 divide both sides by log12 x=log215/log12 so the answer is: x=2.161303737 or rounded to the nearest tenth, it would be: x=2.2

3. dpflan

That would be to the nearest hundred @Bhim

4. coolaidd

so its 2.2?

5. dpflan

Heh, @AlexPR787 I don't get it, I think the question is simpler, 215 to the nearest hundredth is 215.00, there are no fractional values for this. @coolaidd Can you clarify the question?

6. AlexPR787

sorry let me explain

7. AlexPR787

its 200

8. dpflan

I think there is a misunderstanding: hundredth is http://en.wikipedia.org/wiki/Hundredth

9. coolaidd

thats the question..

10. Bhim

it is 200

11. dpflan

Rounding 215 to the nearest hundred would yield 200, but rounding it to the nearest hundredth would mean 215.00, because there are is no fractional part to the value

12. AlexPR787

13. dpflan

Well, I'm wondering if the question may actually mean, what is 215 / 100, to the nearest hundrdeth

14. dpflan

*hundredth

15. AlexPR787

is that the only thing the question says?

16. dpflan

(1.) If the question is merely, what is 215 to the nearest hundredth, then the answer is 215.00 (2.) If the question is actually seeking, what is 215 divided into 100 parts, 215/100, then what is the value of each part rounded to the nearest hundredth, then you have 215/100 = 2.15, so to the nearest hundredth is 2.15

17. AlexPR787

just put 2.2

18. dpflan

No, that would be to the nearest tenth

19. coolaidd

log_5 (2x-5) =-4 2x - 5 = 5^(-4) = 1/625 2x = 5 1/625 = 3126/625 x = 1563/615

20. coolaidd

is this correct?

21. dpflan

well, for that, yeah, looks right

22. AlexPR787

yeah

23. coolaidd

do i finish 1563/615?

24. dpflan

If you need to, like if the question requires you to find the answer to the nearest anything

25. coolaidd

i got 2.54146341.. what would that be rounded to the hundredth?

26. dpflan

OK, so you want to round to the nearest hundredth, this means you need to consider the value of the thousandth, which is the number in the 3rd decimal place. This requires remember the rules for rounding. If the value in the 3rd decimal place is less than or equal to 5, then you round down, and do nothing to the hundredth value. If the 3rd value is greater than 5, then you round up, meaning you add a one. so if \[2.541\] then round down because of the 1, it's called rounding down because \[2.54 < 2.541\] so if \[2.546\] then round up because of the 1, so \[2.546 becomes 2.54 + .01\] it's called rounding up because \[2.55 > 2.541\]

27. coolaidd

so its 2.541?

28. dpflan

to the right of the decimal point you have [tenths, hundredths, thousandths, ten thousandths...] You want to find your answer to the nearest hundredth, so, yes, look at 2.541 The value in the thousandth place is 1, do you round up or down?

29. coolaidd

down?

30. coolaidd

?

31. dpflan

Yep, and why ?

32. coolaidd

because its below 5?

33. dpflan

right

34. coolaidd

so 2.541 is right or do i have to do more to it

35. dpflan

Hehe, you have to make to the nearest hundredth, you still have a 1/1000 in there ;)

36. coolaidd

so how would it look?

37. coolaidd

?

38. dpflan

OK, you want the value with only the hundredth value as the smallest, you want to disregard the other values to the right of the decimal. So, like all the other examples, you would only keep the 2 values to the right of the decimal, so if you have 1.241, you would have 1.24 as the answer if you wanted it to the nearest hundredth....so 2.541 to the nearest hundredth is?

39. coolaidd

2.54?

40. dpflan

Yes, exactly

41. coolaidd

thank you!

42. dpflan

Sure, I'm going to sign off. I think you can solve most of your questions!