Final answer:
The number −0.64 is less than −0.5, so the correct symbol that compares these two numbers is '>'. The inequality to represent this relationship is −0.64 < −0.5.
Step-by-step explanation:
To compare the numbers −0.64 and −0.5, we need to consider the values on a number line. A number line is a visual representation where numbers to the right are greater than those to the left. Since both numbers are negative, the number that is less negative is actually larger. In this case, −0.5 is less negative than −0.64, so −0.5 is greater than −0.64.
The correct symbol to compare −0.64 and −0.5 is the '>' symbol. Therefore, −0.64 < −0.5 is the proper inequality to represent the relationship between these two numbers.
The number −0.64 is less than −0.5, so the correct symbol that compares these two numbers is '>'. The inequality to represent this relationship is −0.64 < −0.5.