Question

a can of soft drink weighs 340g when rounded off to the nearest whole number, what is the lowest possible weight of the can of soft drink​

Answer 1

Answer: 339.5 grams

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Step-by-step explanation:

When we round that value mentioned above to the nearest whole number, we end up with 340 grams. So we have to think in reverse of the rounding process to try to see which values round to 340, and go for the lowest one.

Something like 339.49 will round to 339 grams. The same applies to 339.499 and so on. This means the lowest we can go is 339.5

Going the opposite direction, there technically is no largest possible value. We could have 340.49 or 340.499 or 340.4999 and so on. These values are all approaching 340.5 but never actually get there.

In short, the possible weights x are
`339.5 \le x < 340.5` where rounding any of those x values to the nearest whole number will get you 340 grams. We see that 339.5 grams is the smallest possible x value.