Multiply Four-Digit Numbers by a Two-Digit Number

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.