Let's solve $73 \times 45$ step-by-step, showing the work.

Step-by-step multiplication:

1. Break the multiplication into parts using the distributive property: $73 \times 45 = 73 \times (40 + 5) = (73 \times 40) + (73 \times 5)$

2. Multiply each part:

   • First, multiply $73 \times 40$: $73 \times 40 = 2920$

   • Now, multiply $73 \times 5$: $73 \times 5 = 365$

3. Add the two products together: $2920 + 365 = 3285$

Final Answer:

$73 \times 45 = 3285$

Would you like any further clarification or a different method of showing the work?

Related Questions:

1. How would you verify the result of $73 \times 45$ using estimation?
2. Can you apply the same technique to solve $82 \times 56$?
3. What is the distributive property, and how does it help simplify calculations?
4. How does long multiplication differ from the distributive property method?
5. Can you use the lattice method to multiply $73 \times 45$?

Tip:

When multiplying large numbers, breaking them down using the distributive property simplifies the problem and makes it easier to handle mentally.