To round the number 893 to three significant figures, you need to consider the hundreds, tens, and units places.
The original number is 893. To round it to three significant figures, you would keep the hundreds, tens, and units places and round the digit in the thousands place.
So, rounding to three significant figures:
893 remains as it is because it already has three significant figures.
Now, to find the lower and upper bounds, we consider the next digit (the thousands place, which is 8 in this case).
Lower bound:
To find the lower bound, we decrease the thousands place digit (8) by 0.5. So, 8 - 0.5 = 7.5.
Upper bound:
To find the upper bound, we increase the thousands place digit (8) by 0.5. So, 8 + 0.5 = 8.5.
Therefore, when rounded to three significant figures:
Lower bound: 7.5
Upper bound: 8.5
So, the range is between 7.5 and 8.5 when rounded to three significant figures.