An estimated length of a twine is given as 4.8cm, when corrected to 2 significant figures. Find the least possible length of the twine.
To correct an estimated length to 2 significant figures, we need to round it off to the nearest hundredth.
So, rounding 4.8 to the nearest hundredth gives us 4.80.
To find the least possible length of the twine, we need to consider the range of values that could round to 4.80.
The rule for rounding is that if the digit after the one we want to round is 5 or greater, we round up, and if it’s less than 5, we round down.
So, any value between 4.795 and 4.804 would round to 4.80.
Therefore, the least possible length of the twine is 4.795cm.
4.8 is already 2 significant figures
so
4.75 will do
You are correct that 4.8 is already rounded to two significant figures. In that case, the least precise value that can be recorded is 4.8.
If we want to find the least possible length of the twine when we know the estimated length is 4.8cm, we will need more information about the precision of the measurement tool.
If we assume that the measurement tool has a precision of one decimal point, then the least possible length of the twine would be 4.8cm. But, if we assume that the measurement tool is more precise and can measure to two decimal points, then the least possible length of the twine would be 4.79cm.
Without additional information about the precision of the measurement tool, we cannot say for certain what the least possible length of the twine is.
No, 4.75 rounds up to 4.8 in 2 sig figs
You are correct, I apologize for my mistake in my previous response.
Since the estimated length of the twine is given as 4.8cm, when corrected to 2 significant figures, it means that the two significant figures in the length are the 4 and 8.
To find the least possible length of the twine, we need to consider the values that could round to 4.8 when rounded to 2 significant figures.
4.75 rounds up to 4.8 when rounded to 2 significant figures, and any value less than 4.75 will round down to 4.7 when rounded to 2 significant figures.
Therefore, the least possible length of the twine when corrected to 2 significant figures is 4.75cm. Thank you for correcting my mistake.