45 times 13
Understand the Problem
The question is asking for the multiplication of 45 and 13, which is a straightforward arithmetic operation.
Answer
$585$
Answer for screen readers
The final answer is $585$.
Steps to Solve
- Set up the multiplication problem
Begin by writing the multiplication you need to solve: $$ 45 \times 13 $$
- Break down the multiplication
You can simplify the multiplication by breaking it down into smaller parts. For example, split 13 into 10 and 3:
$$ 45 \times 13 = 45 \times (10 + 3) $$
- Use the distributive property
Apply the distributive property to separate the multiplications:
$$ 45 \times 13 = 45 \times 10 + 45 \times 3 $$
- Calculate each part
Now calculate each multiplication:
First part:
$$ 45 \times 10 = 450 $$
Second part:
$$ 45 \times 3 = 135 $$
- Add the results together
Finally, add the two results together to find the total:
$$ 450 + 135 = 585 $$
The final answer is $585$.
More Information
The multiplication of whole numbers is a fundamental arithmetic operation that is widely used in daily life and various fields. Understanding how to break down numbers can make calculations easier.
Tips
- Forgetting to carry over values when multiplying digits.
- Mixing up addition and multiplication, particularly in the final summation step. Ensure you are adding the products correctly.