How would I represent 1007.1 in three sig figs?
the 7 rounds up to 10 ... 1010
To represent 1007.1 in three significant figures, you need to consider the digits from left to right:
1. Start by identifying the first non-zero digit from the left, which is the number 1.
2. Count all the digits after the first non-zero digit. In this case, there are three digits: 0, 7, and 1.
3. Now, round the number based on the third digit after the first non-zero digit (the third significant figure). If the third digit is 5 or greater, you round up. If it is less than 5, you round down. Since the third digit is 1, which is less than 5, we do not round up.
4. Replace all the digits after the third significant figure with zeros. In this case, the trailing zero after the decimal point is considered significant because it is located after the non-zero digit.
So, when you follow these steps, 1007.1 becomes 1000.