1. **State the problem:** Multiply 64 by 7. 2. **Formula used:** Multiplication of two numbers $a$ and $b$ is given by $a \times b$. 3. **Calculate:** $$64 \times 7 = 448$$ 4. **Explanation:** Multiplying 64 by 7 means adding 64 seven times or 7 sixty-fours. 5. **Final answer:** $448$