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Multiply Four-Digit Numbers by a Two-Digit Number

In this worksheet, students will use an expanded method to multiply four-digit numbers by a 2-digit number

'Multiply Four-Digit Numbers by a Two-Digit Number' worksheet

Key stage:  KS 2

Year:  Year 5 Maths worksheets

Curriculum topic:   Number: Multiplication and Division

Curriculum subtopic:   Multiply Numbers to Four Digits

Difficulty level:  

Worksheet Overview

In this activity, we will practise multiplying two numbers.


 eggs in a carton


Egg farmer Brenda packs 12 eggs into each box.

If she packs 2,431 boxes. how many eggs in total has she packed?


We need to multiply to find the total number of eggs.

Number of eggs = 2,431 × 12


Let's look at how to use an expanded written method to work this out.


We need to partition 12 into 1 ten and 2 ones.


First, we multiply 2,431 by 2, partitioning the larger number as follows:

Step 1: 2  x 1 = 2

Step 2: 2 x 30 = 60

Step 3: 2 x 400 = 800 

Step 4: 2 x 2,000 = 4,000

So, 2,431 x 2 = 4,862


Secondly, we multiply 2,431 by 10 using place value:

2,431 x 10 = 24,310


Thirdly, we add together the two products from above:

24,310 + 4,862 =  29,172


So, the product of 2,431 and 12 is 29,172.


boy thinking


Remember that the product of two numbers is simply the answer after having multiplied them together!


Let's try some questions now.

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