How do you round 4.495?
I ve been doing textbook work and more than once this issue has showed up, and it s been stumping me for years if I m being honest. If we re rounding it to the nearest whole number, the 5 at the end changes the 9 to a 0 which bumps up the 4 to a 5, thus allowing us to round the 4.495 to 5. Is this a correct method?...
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answers:
Puzzling say: The only thing that matters is the next digit.
I assume you are rounding to the nearest whole number:
4.|495
The only thing that matters is the next digit immediately after the place you are rounding to:
4.|495
....^
If that is *5* or higher, you round up, otherwise you do not. In either case, drop everything after the rounding position.
4.
Another way to think about it:
- Is 4.495 closer to 4 or to 5?
Distance to 4 --> |4.495 - 4| = 0.495 <--
Distance to 5 --> |5 - 4.495| = 0.505
The distance to 4 is smaller, so you would round to 4.
Answer:
4
P.S. Ignore anyone that says consider subsequent digits; they are misinformed.
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David say: It rounds up to 4 to the nearest whole number because 0.4 is less than 0.5
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drrckyee say: The answer is 4.
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poldi2 say: When you are asked to round, they usually specify how many significant digits.
4.495 rounded up to 2 or 3 significant digits would be 4.50. The 495 becomes 500.
Rounded up to 1 significant digit would be 5.
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USAFisnumber1 say: The expression is "round up to the nearest whole number, nearest tenth, nearest hundredth, etc" You do it by looking only at the number next to that. So if you are going to round to the nearest WHOLE You look at the TENTH. 0.4 gets rounded down so the nearest WHOLE is 4. If you are going to round to the nearest TENTH you look at the HUNDREDTH. So the 0.09 gets rounded up and you end up with 4.5. If you are going to round to the nearest HUNDREDTH you look at the THOUSANDTH. So the 0.005 gets rounded up and that bumps up the tenths too. So you get 4.50 with the zero indicating that is the degree of accuracy with your rounding. Rounding was very useful in the days of doing math in your head or using a slide rule but today with electronic calculators there really is no need for it.
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Jim Moor say: rounding it to the nearest whole number, you simply look at the first digit to the right.
.4 you ignore all the other numbers to the right
.4 is less than .5
so
4
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CarolOklaNola say: That is correct. If you are not told how many decimal places to include, that may or may not be intentional. It also often depends on how the computer algorhythms were were programmed.
4.495 rounds up to 5.00.
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martin say: You look at more than one digit. The 5 rounds the 9 to 10 which carries over a 1 to the .4, making it a .5 and rounding the whole number 4 up to a 5.
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say: 4.495 is to 3 dp
4.50 is 2 dp
4.5 is 1 dp
4 is whole number
(note that 4.5 rounded to whole number is 5, but rounding should not be in stages, it should be from the most precise number)
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Brian say: No, if it was 4.5 or higher it would round up to 5 It is lower that 4.5, it rounds down to 4.
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Puzzling say: The only thing that matters is the next digit.
I assume you are rounding to the nearest whole number:
4.|495
The only thing that matters is the next digit immediately after the place you are rounding to:
4.|495
....^
If that is *5* or higher, you round up, otherwise you do not. In either case, drop everything after the rounding position.
4.
Another way to think about it:
- Is 4.495 closer to 4 or to 5?
Distance to 4 --> |4.495 - 4| = 0.495 <--
Distance to 5 --> |5 - 4.495| = 0.505
The distance to 4 is smaller, so you would round to 4.
Answer:
4
P.S. Ignore anyone that says consider subsequent digits; they are misinformed.
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Some Body say: You only look at the next immediate digit. So to round to the nearest whole number (nearest ones place), you round 4.4 and ignore all the numbers after that. 4.4 rounds down to 4.
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