Final answer:
To round 0.9967 to two significant figures, we look at the second digit (9) and the digit that follows it (6).
Since 6 is greater than 5, we round up the second 9 to 10, resulting in 1.0.
Therefore, the correctly rounded number is 1.0.
Step-by-step explanation:
First, we look at the number 0.9967. The first non-zero digit is the first significant figure.
Since we want two significant figures, we look at the second digit after the 9, which is a 9.
The digit following the second 9 is a 6, which is 5 or greater, which means we round up the second 9 to a 10.
Therefore, since the 9 is in the hundredths place, and rounding up changes it to 10, we actually increase the digit in the tenths place, changing the number to 1.0.