How to Multiply One-Digit Numbers by Four-Digit Numbers

You used the column method.

$Introduction$

In this lesson, we'll multiply even bigger numbers.

Let's solve an example together.

9,403 × 2 = ?

First, write the problem in column form, like this:

$Example 1 - Step 1$

Now, let's multiply each digit of the top number by the bottom number.

First, let's multiply the digits at the Ones place.

$Example 1 - Step 2$

Then, the digit at the Tens place.

$Example 1 - Step 3$

Next, the digit at the Hundreds place.

$Example 1 - Step 4$

And lastly, the digit at the Thousands place.

$Example 1 - Step 5$

So,

9,403 × 2 = 18,806

Well done! 👏

Let's try one more example.

6,174 × 5 = ?

Do you remember the steps?

First, write the numbers in column form.

$Example 2 - Step 1$

Now, multiply each digit in the top number by the bottom digit.

First, multiply the digit at the Ones place (and move the carry to the next place value.)

$Example 2 - Step 2$

Next, multiply the digit at the Tens place (and add the previous carry to the product).

$Example 2 - Step 3$

Now, multiply the digit at the Hundreds place.

$Example 2 - Step 4$

And finally, multiply the digit at the Thousands place.

$Example 2 - Step 5$

So,

6,174 × 5 = 30,870

Congratulations! 🎉

You now know how to multiply 1-digit numbers by 4-digit numbers.

Now, let's practice.

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