Which of the following numbers has three significant figures? all of the choices
1000 yards
1014 miles
101 feet

The correct answer is 101 feet.

Explanation:

To solve this problem, we need to remember the rules of significant figures.  Any digit that is not zero is significant, and any zero is significant if it is between two non-zero digits or a trailing zero after the decimal point.  Now, let's apply these rules to the options that are given:

1000 yards - Since the zeros are not after the decimal point or between two other digits, they are not significant.  This means the only significant digit is 1, so there is only 1 significant digit.

1014 miles - All three of the non-zero digits are significant, and the 0 is significant in this case because it is between two other significant digits.  Therefore, this number has 4 significant digits.

101 feet - The two 1's are significant because they are non-zero digits, and the zero is also significant because it is between the two 1's.  Therefore, this number has 3 significant digits.

Thus, your answer is 101 feet.

Hope this helps!