Loading please wait

The smart way to improve grades

Comprehensive & curriculum aligned

Try an activity or get started for free

Multiply Four-Digit Numbers by Two-Digit Numbers

In this worksheet, students will learn how to multiply four-digit numbers by two-digit numbers.

Worksheet Overview

In this activity, we'll look at how to multiply four-digit numbers by two-digit numbers.

 

Let's look at an example and go through it step-by-step.

 

We're going to solve 4,257 × 63

 

First, look at how we lay the question out in columns.  It is very important to get each digit in the correct column.

 

Once we have written out the question we can start to multiply.

We need to split 63 into 3 and 60 and multiply the two parts separately.

 

First, we calculate:  3 x 4,257

Work out 3 × 7 (put the 1 in the ones column and carry the 2 (20) into the tens column).

We carry on like this making sure we carry the remainder when needed, as in the calculation below.

Don't forget to include any numbers that are carried over:

 

 3 × 5 = 15 + 2 ( carried over)

3 × 2

3 × 4

 

 

So, we now know that 4,257 x 3 = 12,771

 

Now we calculate:  6 (60) x 4,257

 

 

First, we put a zero as a placeholder in the ones column. Can you see it in yellow in the calculation above?

Now, we multiply as we did before, carrying where needed.

 

6 × 7

6 × 5

6 × 2

6 × 4

We must remember to add on the numbers that we carry over.

This gives us 255,420

 

Finally, add the two numbers together: 12,771 + 255,420 = 268,191

 

Top Tips:

Lay out the question in columns - squared paper can help.

Remember to put a  zero as a placeholder.

Remember to carry over when needed

Add on any digits that are carried over.

 

Phew! That was a lot to do.  

Now, let's put this method to the test! 

Work through each question one step at a time and if you need to look at this example again, simply click on the red help button on the screen.

 

boy on computer

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started
laptop

Popular Maths topics

Try an activity or get started for free

  • National Tutoring Awards 2023 Shortlisted / Parents
    National Tutoring Awards 2023 Shortlisted
  • Private-Tutoring-WINNER-EducationInvestor-Awards / Parents
    Winner - Private Tutoring
  • Bett Awards Finalist / Parents
    Finalist
  • Winner - Best for Home Learning / Parents
    Winner - Best for Home Learning / Parents