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

  1. Set up the multiplication problem

Begin by writing the multiplication you need to solve: $$ 45 \times 13 $$

  1. Break down the multiplication

You can simplify the multiplication by breaking it down into smaller parts. For example, split 13 into 10 and 3:

$$ 45 \times 13 = 45 \times (10 + 3) $$

  1. Use the distributive property

Apply the distributive property to separate the multiplications:

$$ 45 \times 13 = 45 \times 10 + 45 \times 3 $$

  1. Calculate each part

Now calculate each multiplication:

First part:

$$ 45 \times 10 = 450 $$

Second part:

$$ 45 \times 3 = 135 $$

  1. 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.

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