# 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

Key stage:  KS 2

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.

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.

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

Let's try some questions now.

### 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