1. **State the problem:** We need to find the value of $+7 + (+3)$ without using a number line. 2. **Understand the operation:** Adding two positive numbers means combining their values. 3. **Use the addition formula:** For any two numbers $a$ and $b$, $a + b$ means the sum of $a$ and $b$. 4. **Apply the formula:** Here, $a = 7$ and $b = 3$, so $$7 + 3 = 10$$ 5. **Conclusion:** The value of $+7 + (+3)$ is $10$.