Compare Decimal Numbers: Find the Symbol Between 1.05 and 1.50

To solve this problem, we will compare the two decimal numbers $1.05$ and $1.50$ to determine which is greater or if they are equal.

Step-by-step solution:

• Step 1: Compare the ones digits of both numbers. In $1.05$, the ones digit is $1$. In $1.50$, the ones digit is also $1$. Since both are equal, we proceed to the next place value.
• Step 2: Compare the tenths digits. In $1.05$, the tenths digit is $0$. In $1.50$, the tenths digit is $5$. Since $0 < 5$, we can determine the relationship between the two numbers based on the tenths digit.

Conclusion: Since $0$ is less than $5$, we conclude that $1.05$ is less than $1.50$. Therefore, the correct sign to place between them is $<$.

Thus, the missing sign in $1.05 \text{?} 1.50$ is $\lt$.

Therefore, the final answer is: $1.05 \lt 1.50$.