Expanded multiplication is a way of recording the steps focusing on partitioning one or more factors and showing partial products.

The process of unitising and exchanging between place values is known as regrouping.

Multiply a 2-digit number by a 1-digit number using expanded multiplication (regrouping 10s to 100s)

Maths

In this unit pupils will multiply a 2-digit number by a single-digit number using partitioning and representations using expanded multiplication and using short multiplication. In the future unit pupils will multiply a 3-digit number by a single-digit number using expanded and short multiplication.

In the prior unit pupils explained the relationship between multiplying and dividing a number by 10 and multiples of 10. In this unit pupils will multiply a 2-digit number by a single-digit number using partitioning and representations using expanded multiplication and using short multiplication.

Multiplication by partitioning leading to short multiplication (2 by 1-digit)

Look at the image. The arrow is pointing to the __________.

12 tens can be regrouped as {{  }} hundred and 2 tens.

The digits '3' and '6' in the number 365 represent: 

Match each multiplication with the correct regrouping.

Choose the correct partial products for this expanded method.

Aisha has 47 packets of sweets. Each packet has 8 sweets. How many sweets does she have altogether?

Lucas is chanting his 3 times tables: 3, 6, 9, ___. What comes next?

The number 256 can be partitioned into 2 hundreds, __________ and 6 ones.

Use expanded multiplication to calculate this question: 32 × 2 = {{  }}

Calculate and sort the multiplication equations into ascending order.

The product is a 2-digit number. 47, 1 and 2 are its factors. It is greater than 50. What product could it be?

Starter Quiz